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

Time bar (total: 11.0s)

analyze60.0ms (0.6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
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
Operation ival-mult, time spent: 18.0ms, 66.0% of total-time
Operation ival-sub, time spent: 3.0ms, 11.0% of total-time
Operation ival-div, time spent: 3.0ms, 11.0% of total-time
Operation ival-add, time spent: 3.0ms, 11.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

sample1.9s (17.7%)

Results
1.2s4845×256valid
624.0ms3410×256infinite
0.0ms256infinite
Precisions
Click to see histograms. Total time spent on operations: 776.0ms
Operation ival-mult, time spent: 571.0ms, 74.0% of total-time
Operation ival-div, time spent: 86.0ms, 11.0% of total-time
Operation ival-add, time spent: 54.0ms, 7.0% of total-time
Operation ival-sub, time spent: 50.0ms, 6.0% of total-time
Operation const, time spent: 15.0ms, 2.0% of total-time
Bogosity

preprocess237.0ms (2.2%)

Algorithm
egg-herbie
Rules
1368×div-sub
1156×sub-neg
1100×fma-neg
852×associate-/l*
748×fma-define
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
720-1(2.8905407559922396e-160 1.4810384347203961e-307 1.0000219541934489e-191)(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
210-0-(-.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
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047672
1164660
2533660
32454660
47758660
Stop Event
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)

Compiler

Compiled 124 to 41 computations (66.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
Operation ival-mult, time spent: 26.0ms, 67.0% of total-time
Operation ival-sub, time spent: 4.0ms, 10.0% of total-time
Operation ival-div, time spent: 4.0ms, 10.0% of total-time
Operation ival-add, time spent: 3.0ms, 8.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 45 to 18 computations (60% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
69.4%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
71.3%
(*.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)

localize88.0ms (0.8%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
92.7%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
74.0%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
98.0%
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
96.2%
(-.f64 (*.f64 y y) (*.f64 z z))
74.0%
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
Compiler

Compiled 106 to 21 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
Operation ival-mult, time spent: 13.0ms, 44.0% of total-time
Operation ival-div, time spent: 5.0ms, 17.0% of total-time
Operation composed, time spent: 4.0ms, 13.0% of total-time
Operation ival-sub, time spent: 3.0ms, 10.0% of total-time
Operation ival-add, time spent: 3.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series23.0ms (0.2%)

Counts
6 → 192
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))>
#<alt (+.f64 (*.f64 x x) (*.f64 y y))>
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))))))>
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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 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 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)))>
#<alt (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 (pow.f64 x #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 (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 x #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 (pow.f64 x #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 (pow.f64 x #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 (pow.f64 x #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 (pow.f64 x #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 (pow.f64 x #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 (pow.f64 x #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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
Calls

48 calls:

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

rewrite299.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1143×log1p-expm1-u
822×expm1-log1p-u
192×associate-*r*
148×times-frac
143×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021229
1329204
24754204
Stop Event
node limit
Counts
6 → 257
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))
(+.f64 (*.f64 x x) (*.f64 y y))
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))))))
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(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))

simplify263.0ms (2.4%)

Algorithm
egg-herbie
Rules
1288×fma-neg
786×distribute-lft-neg-in
684×div-sub
556×sub-neg
528×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056122953
1130821842
2497620944
Stop Event
node limit
Counts
449 → 355
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))
(*.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))))))
(*.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))))))
(*.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))))))
(pow.f64 y #s(literal 2 binary64))
(*.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))))))
(*.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))))))
(*.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))))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (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 (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 (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) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (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)))
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(*.f64 (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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (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 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.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)))))
(*.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)))))
(*.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)))))
(pow.f64 y #s(literal 2 binary64))
(*.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)))))
(*.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)))))
(*.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)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.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))))
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(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
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(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
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(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))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.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))))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #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 y (neg.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))))))
(*.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 y (neg.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))))))
(*.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 y (neg.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))))))
(/.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)
(+.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 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)))
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(-.f64 (fma.f64 y y (pow.f64 x #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)))
(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)))
(-.f64 (fma.f64 y y (pow.f64 x #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)))
(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)))))
(-.f64 (fma.f64 y y (pow.f64 x #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)))))
(-.f64 (fma.f64 y y (pow.f64 x #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)))
(-.f64 (fma.f64 y y (pow.f64 x #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 (fma.f64 y y (pow.f64 x #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))))
(-.f64 (fma.f64 y y (pow.f64 x #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))))
(-.f64 (fma.f64 y y (pow.f64 x #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))))
(-.f64 (fma.f64 y y (pow.f64 x #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))))
(-.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (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))))
(-.f64 (fma.f64 y y (pow.f64 x #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)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.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))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))

eval146.0ms (1.3%)

Compiler

Compiled 7337 to 4938 computations (32.7% saved)

prune70.0ms (0.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New34213355
Fresh000
Picked112
Done000
Total34314357
Accuracy
94.8%
Counts
357 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.3%
(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))
69.1%
(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))
68.9%
(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))
69.0%
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
69.4%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
69.3%
(/.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)))))
32.4%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
30.1%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
75.1%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.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 1/2 binary64))))
35.5%
(*.f64 y #s(literal 1/2 binary64))
40.7%
(*.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)))
57.0%
(*.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))
64.3%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
58.6%
(*.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 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
Compiler

Compiled 462 to 345 computations (25.3% saved)

localize647.0ms (5.9%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.6%
(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))
96.6%
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
86.1%
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
76.6%
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
99.7%
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
96.6%
(-.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 z z))
76.6%
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
62.0%
(cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
100.0%
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
92.9%
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
100.0%
(*.f64 (/.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 1/2 binary64))
98.4%
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
96.6%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.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 1/2 binary64))))
85.3%
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
Compiler

Compiled 253 to 155 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 360.0ms
Operation ival-pow, time spent: 204.0ms, 57.0% of total-time
Operation ival-sub, time spent: 72.0ms, 20.0% of total-time
Operation ival-div, time spent: 23.0ms, 6.0% of total-time
Operation ival-mult, time spent: 22.0ms, 6.0% of total-time
Operation composed, time spent: 9.0ms, 3.0% of total-time
Operation const, time spent: 9.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 9.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 7.0ms, 2.0% of total-time
Operation ival-add, time spent: 4.0ms, 1.0% of total-time

series83.0ms (0.8%)

Counts
14 → 405
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.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 1/2 binary64))))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (/.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 1/2 binary64))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 z z))>
#<alt (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 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 -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #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) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #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) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #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 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 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 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 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) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #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) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #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) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #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) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 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 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 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 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 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 1/2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
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#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
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#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
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#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
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#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (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 (+.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 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 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 (pow.f64 y #s(literal 2 binary64))>
#<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 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)))))>
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#<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)))>
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#<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

111 calls:

TimeVariablePointExpression
11.0ms
z
@inf
(/ (pow z 2) y)
8.0ms
z
@0
(sqrt (/ (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2)) y))
4.0ms
y
@0
(cbrt (pow (sqrt (+ (* x x) (* y y))) 2))
2.0ms
y
@-inf
(sqrt (/ (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2)) y))
2.0ms
x
@inf
(cbrt (pow (sqrt (+ (* x x) (* y y))) 2))

rewrite168.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
382×associate-*r*
288×times-frac
264×associate-*l*
249×log1p-expm1-u
249×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035511
1583507
Stop Event
node limit
Counts
14 → 507
Calls
Call 1
Inputs
(/.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 #s(literal 1/2 binary64) (*.f64 (/.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 1/2 binary64))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (/.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 1/2 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 z z))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 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 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64))) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -2 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 (exp.f64 (log1p.f64 (*.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 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))
(*.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 (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (*.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)))
(*.f64 (pow.f64 (cbrt.f64 (*.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)) (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.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 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #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 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (*.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))
(pow.f64 (cbrt.f64 (*.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 3 binary64))
(pow.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (/.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))))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.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 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.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 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.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 1/2 binary64) y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (/.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))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 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 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) y) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.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))) #s(literal 1/4 binary64))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(pow.f64 (*.f64 (fma.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 1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.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 1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.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 1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.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 1/2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.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 1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (fma.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))) #s(literal 1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.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 1/2 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.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 1/2 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.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)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
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(*.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) (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)) #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 (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)))) #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 (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)))
(*.f64 (*.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 1 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 (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 (neg.f64 (-.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 #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 (*.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 2 binary64)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 y)) (*.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (neg.f64 (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 (*.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 (neg.f64 (neg.f64 (-.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)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 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 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 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 (/.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 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 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 (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))) #s(literal 1 binary64)) y)
(/.f64 (/.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))) (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 (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)))

simplify418.0ms (3.8%)

Algorithm
egg-herbie
Rules
1620×fma-define
1266×times-frac
834×*-commutative
356×sub-neg
338×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014774295020555
137814295018013
Stop Event
node limit
Counts
912 → 870
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 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 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 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 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 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 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 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 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)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #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)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
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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 (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 (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) (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)) #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 (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)))) #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 (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)))
(*.f64 (*.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 1 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 (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 (neg.f64 (-.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 #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 (*.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 2 binary64)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 y)) (*.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (neg.f64 (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 (*.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 (neg.f64 (neg.f64 (-.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)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 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 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 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 (/.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 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 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 (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))) #s(literal 1 binary64)) y)
(/.f64 (/.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))) (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 (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)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
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(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #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)))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(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 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #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)))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #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)))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #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 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)

eval857.0ms (7.8%)

Compiler

Compiled 22544 to 16237 computations (28% saved)

prune292.0ms (2.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New8637870
Fresh268
Picked415
Done011
Total86915884
Accuracy
99.7%
Counts
884 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.1%
(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))
68.9%
(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))
69.4%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
69.3%
(/.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)))))
32.4%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
30.1%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
78.7%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
35.5%
(*.f64 y #s(literal 1/2 binary64))
32.7%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
30.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
69.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
64.2%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))))
69.1%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
69.1%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
58.6%
(*.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 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
Compiler

Compiled 430 to 322 computations (25.1% saved)

localize477.0ms (4.4%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.8%
(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))
99.1%
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
92.7%
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
74.2%
(*.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)))))
99.5%
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))
89.4%
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
66.9%
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
90.2%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
100.0%
(-.f64 y (*.f64 z (/.f64 z y)))
99.8%
(*.f64 z (/.f64 z y))
100.0%
(*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
91.5%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
81.4%
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))
Compiler

Compiled 225 to 113 computations (49.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 216.0ms
Operation ival-pow, time spent: 120.0ms, 56.0% of total-time
Operation ival-div, time spent: 28.0ms, 13.0% of total-time
Operation ival-mult, time spent: 27.0ms, 13.0% of total-time
Operation composed, time spent: 10.0ms, 5.0% of total-time
Operation ival-sub, time spent: 9.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 9.0ms, 4.0% of total-time
Operation const, time spent: 7.0ms, 3.0% of total-time
Operation ival-add, time spent: 6.0ms, 3.0% of total-time

series73.0ms (0.7%)

Counts
13 → 360
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))>
#<alt (*.f64 z (/.f64 z y))>
#<alt (-.f64 y (*.f64 z (/.f64 z y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))>
#<alt (sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #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 (*.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))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 z (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 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (*.f64 x (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 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 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 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #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) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (+.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (+.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
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#<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)))))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (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 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (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 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (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 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.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 2 binary64) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #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 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #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 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #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 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #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 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 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 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 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 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 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 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
Calls

99 calls:

TimeVariablePointExpression
7.0ms
x
@0
(/ (* (+ x z) (- x z)) (pow y 2))
6.0ms
y
@-inf
(sqrt (/ (pow x 2) y))
2.0ms
z
@inf
(/ 2 (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2)))
2.0ms
z
@-inf
(- y (* z (/ z y)))
2.0ms
x
@-inf
(* y (/ 2 (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2))))

rewrite170.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
298×log1p-expm1-u
298×expm1-log1p-u
288×add-cube-cbrt
287×add-exp-log
287×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038476
1662448
Stop Event
node limit
Counts
13 → 339
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 z (/.f64 z y))
(-.f64 y (*.f64 z (/.f64 z y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 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 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #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 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))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.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 x z) (*.f64 (-.f64 x z) (pow.f64 y #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 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 (cbrt.f64 (/.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)))) (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (+.f64 x z) #s(literal 1 binary64)) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (+.f64 x z) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 x z) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 x z) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 (+.f64 x z) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #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 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))
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(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 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 z) z))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.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 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (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))))
(*.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 (hypot.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (+.f64 (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)))))
(*.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))) (-.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 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (+.f64 (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 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (hypot.f64 x y) z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.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 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 x 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 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x 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 (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 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (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 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.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 #s(literal 1 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 #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 #s(literal 4 binary64) (pow.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 #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 #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 #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 -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(pow.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))
(pow.f64 (cbrt.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 3 binary64))
(pow.f64 (pow.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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.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 2 binary64))
(pow.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (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 #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 #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 #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)))
(expm1.f64 (log1p.f64 (/.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 #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 #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 #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 (exp.f64 (log1p.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(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))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) #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))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (neg.f64 (log.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))

simplify306.0ms (2.8%)

Algorithm
egg-herbie
Rules
1368×fma-define
920×times-frac
598×*-commutative
574×distribute-rgt-in
568×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0122638866
1337935995
Stop Event
node limit
Counts
699 → 746
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(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))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) #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))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (neg.f64 (log.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (*.f64 x #s(literal 0 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 x (+.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 x (+.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (+.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (-.f64 (+.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 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 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (-.f64 (+.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 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 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (+.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (pow.f64 y #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (pow.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (pow.f64 y #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (pow.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 z (*.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 z #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 z (-.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 z (-.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (+.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (+.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.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 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.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))
(*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.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))
(*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.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 (*.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.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))
(*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 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))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(*.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))
(*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(*.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))
(*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(expm1.f64 (log1p.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))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(*.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))
(*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(exp.f64 (neg.f64 (log.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.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))
(*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))

eval513.0ms (4.7%)

Compiler

Compiled 17963 to 13165 computations (26.7% saved)

prune235.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New7415746
Fresh808
Picked415
Done112
Total7547761
Accuracy
100.0%
Counts
761 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.5%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)) #s(literal 1/2 binary64))))
85.4%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
35.5%
(*.f64 y #s(literal 1/2 binary64))
61.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
69.1%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
69.1%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
66.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))
Compiler

Compiled 178 to 119 computations (33.1% saved)

localize436.0ms (4%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))
93.8%
(*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))))
91.5%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
91.5%
(*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))
89.5%
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
100.0%
(/.f64 (-.f64 x z) y)
99.8%
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
100.0%
(-.f64 y (/.f64 z (/.f64 y z)))
99.8%
(/.f64 z (/.f64 y z))
100.0%
(/.f64 (+.f64 x z) y)
100.0%
(*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)) #s(literal 1/2 binary64))
99.7%
(*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))
91.5%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)) #s(literal 1/2 binary64))))
Compiler

Compiled 256 to 71 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 212.0ms
Operation ival-mult, time spent: 111.0ms, 52.0% of total-time
Operation ival-add, time spent: 51.0ms, 24.0% of total-time
Operation ival-pow, time spent: 26.0ms, 12.0% of total-time
Operation ival-sub, time spent: 10.0ms, 5.0% of total-time
Operation ival-div, time spent: 10.0ms, 5.0% of total-time
Operation const, time spent: 4.0ms, 2.0% of total-time

series58.0ms (0.5%)

Counts
13 → 408
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)) #s(literal 1/2 binary64))))>
#<alt (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))>
#<alt (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)) #s(literal 1/2 binary64))>
#<alt (/.f64 (+.f64 x z) y)>
#<alt (/.f64 z (/.f64 y z))>
#<alt (-.f64 y (/.f64 z (/.f64 y z)))>
#<alt (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))>
#<alt (/.f64 (-.f64 x z) y)>
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)>
#<alt (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))))>
#<alt (*.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 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 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))))>
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Calls

111 calls:

TimeVariablePointExpression
2.0ms
z
@0
(* (+ z x) (/ (- x z) y))
1.0ms
x
@-inf
(* (- x z) (pow y -2))
1.0ms
x
@-inf
(* (+ z x) (/ (- x z) y))
1.0ms
z
@inf
(* (+ z x) (/ (- x z) y))
0.0ms
x
@inf
(* (- x z) (pow y -2))

rewrite208.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
588×associate-*r*
308×frac-times
267×log1p-expm1-u
267×expm1-log1p-u
264×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032553
1609479
Stop Event
node limit
Counts
13 → 440
Calls
Call 1
Inputs
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))
(*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)) #s(literal 1/2 binary64))
(/.f64 (+.f64 x z) y)
(/.f64 z (/.f64 y z))
(-.f64 y (/.f64 z (/.f64 y z)))
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/.f64 (-.f64 x z) y)
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)
(*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))
Outputs
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal 1/2 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 (*.f64 (*.f64 y #s(literal 1/2 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 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 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 1/2 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 1/2 binary64) y))
(+.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y #s(literal 1/2 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 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 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) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y #s(literal 1/2 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 3 binary64))) (+.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 y #s(literal 1/2 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 (*.f64 y #s(literal 1/2 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 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal 1/2 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 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 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) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 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 #s(literal 1/2 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 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 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 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 y #s(literal 1/2 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 (*.f64 y #s(literal 1/2 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 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal 1/2 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 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 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 #s(literal 1/2 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 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 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)))
(pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 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 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 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 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 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 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 #s(literal 1/2 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 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) x) (*.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) z))
(+.f64 (*.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) z) (*.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) x))
(+.f64 (*.f64 x (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) (*.f64 z (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))))
(+.f64 (*.f64 z (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) (*.f64 x (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.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 x z) (*.f64 (/.f64 y (+.f64 x z)) y))
(/.f64 (/.f64 (-.f64 x z) y) (/.f64 y (+.f64 x z)))
(/.f64 (+.f64 x z) (*.f64 (/.f64 y (-.f64 x z)) y))
(/.f64 (/.f64 (+.f64 x z) y) (/.f64 y (-.f64 x z)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 x z)) (/.f64 y (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 x z)) (/.f64 y (-.f64 x z))))
(/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 (neg.f64 (+.f64 x z)) (*.f64 (/.f64 y (-.f64 x z)) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 x z)) (*.f64 (/.f64 y (+.f64 x z)) (neg.f64 y)))
(/.f64 (*.f64 (+.f64 x z) #s(literal 1 binary64)) (*.f64 y (/.f64 y (-.f64 x z))))
(/.f64 (*.f64 (neg.f64 (+.f64 x z)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x z))))
(/.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) (*.f64 y (/.f64 y (+.f64 x z))))
(/.f64 (*.f64 (neg.f64 (-.f64 x z)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (+.f64 x z))))
(/.f64 (*.f64 (neg.f64 (-.f64 x z)) (neg.f64 (+.f64 x z))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (+.f64 x z)) (neg.f64 (-.f64 x z))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (neg.f64 y))
(pow.f64 (*.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))
(pow.f64 (cbrt.f64 (*.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 3 binary64))
(pow.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 2 binary64))
(sqrt.f64 (*.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))))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.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 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
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(exp.f64 (log.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 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 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 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 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 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 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 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)))
(log.f64 (pow.f64 (pow.f64 (exp.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 1/2 binary64)))
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(cbrt.f64 (*.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 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 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x z) y))) #s(literal 1 binary64))
(*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x z) y)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (sqrt.f64 (/.f64 (+.f64 x z) y)))
(*.f64 (neg.f64 (+.f64 x z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (+.f64 x z) (cbrt.f64 y)))
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(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 y #s(literal 1/2 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 (*.f64 y #s(literal 1/2 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 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal 1/2 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 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 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 #s(literal 1/2 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 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 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)))
(pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 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 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 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 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 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 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 #s(literal 1/2 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 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) x) (*.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) z))
(+.f64 (*.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) z) (*.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) x))
(+.f64 (*.f64 x (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) (*.f64 z (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))))
(+.f64 (*.f64 z (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) (*.f64 x (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.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 x z) (*.f64 (/.f64 y (+.f64 x z)) y))
(/.f64 (/.f64 (-.f64 x z) y) (/.f64 y (+.f64 x z)))
(/.f64 (+.f64 x z) (*.f64 (/.f64 y (-.f64 x z)) y))
(/.f64 (/.f64 (+.f64 x z) y) (/.f64 y (-.f64 x z)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 x z)) (/.f64 y (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 x z)) (/.f64 y (-.f64 x z))))
(/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 (neg.f64 (+.f64 x z)) (*.f64 (/.f64 y (-.f64 x z)) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 x z)) (*.f64 (/.f64 y (+.f64 x z)) (neg.f64 y)))
(/.f64 (*.f64 (+.f64 x z) #s(literal 1 binary64)) (*.f64 y (/.f64 y (-.f64 x z))))
(/.f64 (*.f64 (neg.f64 (+.f64 x z)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x z))))
(/.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) (*.f64 y (/.f64 y (+.f64 x z))))
(/.f64 (*.f64 (neg.f64 (-.f64 x z)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (+.f64 x z))))
(/.f64 (*.f64 (neg.f64 (-.f64 x z)) (neg.f64 (+.f64 x z))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (+.f64 x z)) (neg.f64 (-.f64 x z))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (neg.f64 y))
(pow.f64 (*.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))
(pow.f64 (cbrt.f64 (*.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 3 binary64))
(pow.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 2 binary64))
(sqrt.f64 (*.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))))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.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 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.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 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 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 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 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 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 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 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 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)))
(log.f64 (pow.f64 (pow.f64 (exp.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 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))))
(cbrt.f64 (*.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 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 1 binary64)))

simplify520.0ms (4.7%)

Algorithm
egg-herbie
Rules
1538×times-frac
1114×fma-define
792×distribute-lft-in
784×distribute-rgt-in
582×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107746579
1310341558
Stop Event
node limit
Counts
848 → 641
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 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) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 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 #s(literal 1/2 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 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 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 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 y #s(literal 1/2 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 (*.f64 y #s(literal 1/2 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 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal 1/2 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 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 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 #s(literal 1/2 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 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 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)))
(pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 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 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 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 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 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 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 #s(literal 1/2 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 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) x) (*.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) z))
(+.f64 (*.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) z) (*.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) x))
(+.f64 (*.f64 x (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) (*.f64 z (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))))
(+.f64 (*.f64 z (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) (*.f64 x (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.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 x z) (*.f64 (/.f64 y (+.f64 x z)) y))
(/.f64 (/.f64 (-.f64 x z) y) (/.f64 y (+.f64 x z)))
(/.f64 (+.f64 x z) (*.f64 (/.f64 y (-.f64 x z)) y))
(/.f64 (/.f64 (+.f64 x z) y) (/.f64 y (-.f64 x z)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 x z)) (/.f64 y (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 x z)) (/.f64 y (-.f64 x z))))
(/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 (neg.f64 (+.f64 x z)) (*.f64 (/.f64 y (-.f64 x z)) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 x z)) (*.f64 (/.f64 y (+.f64 x z)) (neg.f64 y)))
(/.f64 (*.f64 (+.f64 x z) #s(literal 1 binary64)) (*.f64 y (/.f64 y (-.f64 x z))))
(/.f64 (*.f64 (neg.f64 (+.f64 x z)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x z))))
(/.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) (*.f64 y (/.f64 y (+.f64 x z))))
(/.f64 (*.f64 (neg.f64 (-.f64 x z)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (+.f64 x z))))
(/.f64 (*.f64 (neg.f64 (-.f64 x z)) (neg.f64 (+.f64 x z))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (+.f64 x z)) (neg.f64 (-.f64 x z))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (neg.f64 y))
(pow.f64 (*.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))
(pow.f64 (cbrt.f64 (*.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 3 binary64))
(pow.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 2 binary64))
(sqrt.f64 (*.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))))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.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 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.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 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 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 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 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 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 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 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 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)))
(log.f64 (pow.f64 (pow.f64 (exp.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 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))))
(cbrt.f64 (*.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 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 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.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 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.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 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.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 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (fma.f64 #s(literal 1/2 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 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64)))))))
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(cbrt.f64 (*.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 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)))
(fabs.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.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 1/2 binary64)))
(*.f64 #s(literal 1/2 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 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 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 1/2 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 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 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 1/2 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 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 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 1/2 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 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 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 1 binary64)))
(*.f64 #s(literal 1/2 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 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal -2 binary64)))

eval596.0ms (5.4%)

Compiler

Compiled 14679 to 8415 computations (42.7% saved)

prune173.0ms (1.6%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New6903693
Fresh000
Picked235
Done022
Total6928700
Accuracy
100.0%
Counts
700 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 x y)) #s(literal 1/2 binary64))))
35.5%
(*.f64 y #s(literal 1/2 binary64))
66.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))
61.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
69.1%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
64.2%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) z)))))
69.1%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
66.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))
Compiler

Compiled 505 to 311 computations (38.4% saved)

regimes170.0ms (1.6%)

Counts
30 → 2
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) z)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 x 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 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)) #s(literal 1/2 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 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))))
(/.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)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.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 1/2 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))
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 z z)) (*.f64 y #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 (/.f64 x y) (/.f64 x (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))
(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))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)) #s(literal 1/2 binary64))))
Calls

6 calls:

41.0ms
z
29.0ms
x
27.0ms
y
26.0ms
(*.f64 z z)
25.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
94.3%2x
98.8%2y
95.8%3z
99.3%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
94.3%2(*.f64 x x)
95.8%3(*.f64 z z)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes43.0ms (0.4%)

Counts
10 → 3
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) z)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 x y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 x y)) #s(literal 1/2 binary64))))
Calls

2 calls:

31.0ms
y
11.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
97.3%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
95.9%4y
Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes47.0ms (0.4%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) z)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 x y)) #s(literal 1/2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
Calls

3 calls:

18.0ms
z
16.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
90.4%2y
87.6%2z
89.8%2x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
Calls

3 calls:

4.0ms
y
4.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
69.1%1z
69.1%1x
69.1%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

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

3 calls:

5.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
69.1%1x
69.1%1y
69.1%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

4.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
35.5%1x
35.5%1y
35.5%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.5038808156607344e-111
1.1220055087306495e-110
Results
7.0ms49×256valid
6.0ms46×256infinite
0.0ms256valid
Compiler

Compiled 240 to 160 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-mult, time spent: 3.0ms, 63.0% of total-time
Operation ival-sub, time spent: 1.0ms, 21.0% of total-time
Operation ival-div, time spent: 1.0ms, 21.0% of total-time
Operation ival-add, time spent: 1.0ms, 21.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3005360548695297e+284
+inf
0.0ms
0.0
3.551855854429014e-106
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
2.8977348332300177e+75
1.0496769218373558e+77
Results
11.0ms83×256valid
4.0ms28×256infinite
0.0ms256valid
Compiler

Compiled 220 to 149 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-mult, time spent: 3.0ms, 53.0% of total-time
Operation ival-sub, time spent: 1.0ms, 18.0% of total-time
Operation ival-div, time spent: 1.0ms, 18.0% of total-time
Operation ival-add, time spent: 1.0ms, 18.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify19.0ms (0.2%)

Algorithm
egg-herbie
Rules
42×*-commutative
30×+-commutative
22×sub-neg
14×neg-sub0
14×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061622
192622
2114622
3131622
4141622
5145622
6146622
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 7107673776432753/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 x y)) #s(literal 1/2 binary64))))))
(if (<=.f64 y #s(literal 2899999999999999847225542071507612210999107786872054467644286884217782009856 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
(*.f64 y #s(literal 1/2 binary64))
Outputs
(if (<=.f64 y #s(literal 7107673776432753/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)) #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal 7107673776432753/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 z x) y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (/.f64 x y)) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) (/.f64 y (+.f64 z x)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 x y)))))))
(if (<=.f64 y #s(literal 2899999999999999847225542071507612210999107786872054467644286884217782009856 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y)))))
(if (<=.f64 y #s(literal 2899999999999999847225542071507612210999107786872054467644286884217782009856 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
(*.f64 y #s(literal 1/2 binary64))
Compiler

Compiled 172 to 94 computations (45.3% saved)

soundness1.1s (10.1%)

Rules
1368×fma-define
1368×div-sub
1288×fma-neg
1156×sub-neg
1100×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056122953
1130821842
2497620944
047672
1164660
2533660
32454660
47758660
032553
1609479
038476
1662448
0122638866
1337935995
035511
1583507
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 706 to 349 computations (50.6% saved)

end0.0ms (0%)

preprocess147.0ms (1.3%)

Remove

(abs z)

(abs x)

Compiler

Compiled 1506 to 792 computations (47.4% saved)

Profiling

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