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

Time bar (total: 11.8s)

analyze66.0ms (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: 37.0ms
Operation ival-mult, time spent: 27.0ms, 74.0% of total-time
Operation ival-sub, time spent: 3.0ms, 8.0% of total-time
Operation ival-div, time spent: 3.0ms, 8.0% of total-time
Operation ival-add, time spent: 3.0ms, 8.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

sample1.5s (12.7%)

Results
532.0ms4748×256valid
667.0ms3508×256infinite
Precisions
Click to see histograms. Total time spent on operations: 661.0ms
Operation ival-mult, time spent: 299.0ms, 45.0% of total-time
Operation ival-add, time spent: 232.0ms, 35.0% of total-time
Operation ival-div, time spent: 69.0ms, 10.0% of total-time
Operation ival-sub, time spent: 46.0ms, 7.0% of total-time
Operation const, time spent: 14.0ms, 2.0% of total-time
Bogosity

preprocess236.0ms (2%)

Algorithm
egg-herbie
Rules
684×div-sub
578×sub-neg
550×fma-neg
426×associate-/l*
374×fma-define
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
700-1(4.446826956735084e-230 1.0279900829558999e-158 6.6662361204939505e-202)(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
300-0-(-.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)

Results
53.0ms304×256valid
30.0ms208×256infinite
Compiler

Compiled 124 to 41 computations (66.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
Operation ival-mult, time spent: 17.0ms, 52.0% of total-time
Operation ival-div, time spent: 9.0ms, 27.0% of total-time
Operation ival-sub, time spent: 3.0ms, 9.0% of total-time
Operation ival-add, time spent: 3.0ms, 9.0% of total-time
Operation const, time spent: 1.0ms, 3.0% 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
68.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
70.2%
(*.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)

localize83.0ms (0.7%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
89.8%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
75.0%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
96.9%
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
93.8%
(-.f64 (*.f64 y y) (*.f64 z z))
75.0%
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
Results
31.0ms152×256valid
22.0ms104×256infinite
Compiler

Compiled 106 to 21 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
Operation ival-mult, time spent: 12.0ms, 45.0% of total-time
Operation composed, time spent: 4.0ms, 15.0% of total-time
Operation ival-div, time spent: 4.0ms, 15.0% of total-time
Operation ival-sub, 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

series22.0ms (0.2%)

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

42 calls:

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

rewrite286.0ms (2.4%)

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

Useful iterations: 1 (0.0ms)

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

simplify398.0ms (3.4%)

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

Useful iterations: 2 (0.0ms)

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

eval137.0ms (1.2%)

Compiler

Compiled 6461 to 4400 computations (31.9% saved)

prune104.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3039312
Fresh000
Picked112
Done000
Total30410314
Accuracy
93.1%
Counts
314 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(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))
68.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
30.0%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
31.7%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
55.0%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
34.2%
(*.f64 y #s(literal 1/2 binary64))
58.6%
(*.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))
67.6%
(*.f64 #s(literal 1/2 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 3 binary64)) y))
68.1%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y)))
50.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))))
Compiler

Compiled 314 to 227 computations (27.7% saved)

localize459.0ms (3.9%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
86.7%
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
86.6%
(/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
86.2%
(/.f64 y (pow.f64 z #s(literal 2 binary64)))
62.4%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y))))
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))
99.2%
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
89.8%
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
75.3%
(*.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)))))
86.0%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
100.0%
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
92.9%
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))
89.8%
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
82.1%
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
Results
204.0ms152×256valid
126.0ms104×256infinite
Compiler

Compiled 266 to 155 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 275.0ms
Operation ival-pow, time spent: 98.0ms, 36.0% of total-time
Operation ival-mult, time spent: 55.0ms, 20.0% of total-time
Operation ival-div, time spent: 48.0ms, 17.0% of total-time
Operation composed, time spent: 37.0ms, 13.0% of total-time
Operation ival-sub, time spent: 11.0ms, 4.0% of total-time
Operation ival-add, time spent: 11.0ms, 4.0% of total-time
Operation const, time spent: 9.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 6.0ms, 2.0% of total-time

series72.0ms (0.6%)

Counts
13 → 336
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))>
#<alt (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))>
#<alt (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))>
#<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))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y))))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
Outputs
#<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 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<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 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 (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)))>
#<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 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)))))>
#<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)) (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 (-.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 #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))))>
#<alt (+.f64 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 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 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64)))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 1 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))))>
Calls

105 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(pow (sqrt (+ (* y y) (* x x))) 2)
4.0ms
x
@-inf
(/ 2 (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2)))
3.0ms
z
@inf
(* y (/ 2 (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2))))
3.0ms
x
@-inf
(/ x (* y (pow z 2)))
2.0ms
y
@-inf
(/ (- (pow (sqrt (+ (* y y) (* x x))) 2) (pow z 2)) (sqrt y))

rewrite314.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
282×log1p-expm1-u
282×expm1-log1p-u
274×add-exp-log
273×add-log-exp
272×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036499
1608495
Stop Event
node limit
Counts
13 → 351
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.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))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y))))
(/.f64 y (pow.f64 z #s(literal 2 binary64)))
(/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #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 y x) #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 y 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 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #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 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #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 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 y)))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) y)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) y)) (cbrt.f64 y)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) y)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))) (sqrt.f64 y)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (cbrt.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 z (sqrt.f64 y))) (/.f64 (cbrt.f64 x) (*.f64 z (sqrt.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (*.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify328.0ms (2.8%)

Algorithm
egg-herbie
Rules
629×associate-*r*
582×associate-*l*
444×fma-define
416×times-frac
265×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119641207
1311438724
Stop Event
node limit
Counts
687 → 721
Calls
Call 1
Inputs
(/.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)))))
(*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
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(-.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 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)))
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(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
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(-.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 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 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))))
(+.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))))
(+.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))))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.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)))
(*.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)))
(*.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)))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.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)))
(*.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)))
(*.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)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
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(/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 5 binary64))) (*.f64 (sqrt.f64 y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) y)
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(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
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(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(fma.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)) (*.f64 (fma.f64 x (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (cbrt.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) z))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (cbrt.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 y) (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(log.f64 (exp.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) z) (/.f64 (sqrt.f64 (/.f64 x y)) z))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 x y))
(*.f64 (/.f64 x y) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 x (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 y))) (/.f64 x (*.f64 z (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (cbrt.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 z (sqrt.f64 y))) (/.f64 (cbrt.f64 x) (*.f64 z (sqrt.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (*.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(/.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 (fma.f64 y y (pow.f64 x #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 (-.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 (fma.f64 y y (pow.f64 x #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 (-.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 (fma.f64 y y (pow.f64 x #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)
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)))))
(*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 y #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64)))))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64)))))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64)))))) (neg.f64 y))
(/.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 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))
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(*.f64 (pow.f64 z #s(literal 2 binary64)) y)
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)

eval663.0ms (5.6%)

Compiler

Compiled 18889 to 12940 computations (31.5% saved)

prune278.0ms (2.4%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New7129721
Fresh134
Picked325
Done011
Total71615731
Accuracy
94.2%
Counts
731 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.2%
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
29.9%
(pow.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
68.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
30.0%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
31.7%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
55.0%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
34.2%
(*.f64 y #s(literal 1/2 binary64))
67.6%
(*.f64 #s(literal 1/2 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 3 binary64)) y))
31.6%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
29.9%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y)))
29.9%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)))
55.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) (/.f64 #s(literal -1 binary64) y)))))
53.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))
51.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))))
25.2%
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))
Compiler

Compiled 448 to 338 computations (24.6% saved)

localize414.0ms (3.5%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
93.3%
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))
92.7%
(/.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
99.8%
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))
86.0%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
68.8%
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))
99.7%
(/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))
99.5%
(pow.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
85.5%
(*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))))
99.8%
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
99.5%
(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))
89.8%
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
75.0%
(/.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 3 binary64)) y)
43.4%
(cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
Results
171.0ms152×256valid
115.0ms104×256infinite
Compiler

Compiled 201 to 131 computations (34.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 218.0ms
Operation ival-pow, time spent: 120.0ms, 55.0% of total-time
Operation ival-div, time spent: 33.0ms, 15.0% of total-time
Operation ival-mult, time spent: 18.0ms, 8.0% of total-time
Operation ival-cbrt, time spent: 12.0ms, 6.0% of total-time
Operation composed, time spent: 10.0ms, 5.0% of total-time
Operation const, time spent: 8.0ms, 4.0% of total-time
Operation ival-sub, time spent: 7.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 2.0% of total-time
Operation ival-neg, time spent: 4.0ms, 2.0% of total-time
Operation ival-add, time spent: 2.0ms, 1.0% of total-time

series223.0ms (1.9%)

Counts
11 → 264
Calls
Call 1
Inputs
#<alt (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.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 3 binary64)) y)>
#<alt (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))>
#<alt (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))>
#<alt (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (pow.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))>
#<alt (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))>
#<alt (/.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))>
#<alt (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))>
Outputs
#<alt (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64))))) (*.f64 #s(literal 5/81 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 8 binary64)))))))))))>
#<alt (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 25 binary64)))) (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64))))) (*.f64 #s(literal 5/81 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 8 binary64)))))))))))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 13 binary64)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 25 binary64)))) (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 13 binary64)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 5 binary64))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (cbrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
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Calls

69 calls:

TimeVariablePointExpression
134.0ms
z
@-inf
(cbrt (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2)))
20.0ms
z
@-inf
(pow (* y (/ -2 (pow z 2))) -1)
14.0ms
y
@inf
(/ (neg (pow z 2)) (sqrt y))
6.0ms
y
@-inf
(pow (/ 2 y) -1)
3.0ms
x
@inf
(cbrt (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2)))

rewrite380.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
630×prod-diff
220×log1p-expm1-u
220×expm1-log1p-u
216×pow1
213×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035315
1537271
27136271
Stop Event
node limit
Counts
11 → 555
Calls
Call 1
Inputs
(cbrt.f64 (-.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 3 binary64)) y)
(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 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))
(/.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (hypot.f64 (hypot.f64 x y) z)) (cbrt.f64 (hypot.f64 (hypot.f64 x y) z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 1/3 binary64)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (cbrt.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)))))
(pow.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (hypot.f64 x y) z)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) 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 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) y))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) (*.f64 (cbrt.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 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) y))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) (sqrt.f64 y)) (/.f64 (hypot.f64 (hypot.f64 x y) z) (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 (hypot.f64 (hypot.f64 x y) z) y))
(*.f64 (hypot.f64 (hypot.f64 x y) z) (*.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) y))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 1 binary64)) (/.f64 (hypot.f64 (hypot.f64 x y) z) y))
(*.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (hypot.f64 (hypot.f64 x y) z) (cbrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) y))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(+.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 (neg.f64 z)) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (neg.f64 z) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) z) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) z)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 (*.f64 (cbrt.f64 z) z) (cbrt.f64 (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) z)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z))))
(+.f64 (fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 z (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 z)))))
(+.f64 (fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))))
(+.f64 (fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (*.f64 z (*.f64 #s(literal -1 binary64) z)))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) z) (*.f64 z (*.f64 #s(literal -1 binary64) z))))
(+.f64 (fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))))
(+.f64 (fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 z (cbrt.f64 (pow.f64 z #s(literal 2 binary64))))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 z (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (cbrt.f64 z) (*.f64 z (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (fma.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (fma.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (fma.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (fma.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (neg.f64 z)) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (fma.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (fma.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (fma.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))
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(*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 z (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (*.f64 z (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
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(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
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(/.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
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(/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) y)
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)))
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(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 z (/.f64 z y))
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(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
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(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (cbrt.f64 y)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) (cbrt.f64 y)) (/.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 z (/.f64 z (sqrt.f64 y)))
(*.f64 z (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (neg.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))))
(*.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) (/.f64 z (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 z (cbrt.f64 y)) (/.f64 z (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (cbrt.f64 y)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(*.f64 (neg.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64)))) (/.f64 z (pow.f64 y #s(literal 1/4 binary64))))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))) #s(literal 1 binary64)))

simplify674.0ms (5.7%)

Algorithm
egg-herbie
Rules
341×associate-*r/
328×fma-define
308×*-commutative
274×associate-*l/
259×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0136146264
1322242213
Stop Event
node limit
Counts
819 → 843
Calls
Call 1
Inputs
(cbrt.f64 (-.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)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(+.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))))))
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(*.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) (/.f64 z (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 z (cbrt.f64 y)) (/.f64 z (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (cbrt.f64 y)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(*.f64 (neg.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64)))) (/.f64 z (pow.f64 y #s(literal 1/4 binary64))))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))) #s(literal 1 binary64)))
Outputs
(cbrt.f64 (-.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)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.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 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))))))
(+.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))) (cbrt.f64 (-.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)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64))))) (*.f64 #s(literal 5/81 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 8 binary64)))))))))))
(+.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 5/81 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 8 binary64)))))))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 8 binary64)))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.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)))))
(cbrt.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
(*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64))))))))
(*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 25 binary64)))) (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 25 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -5/27 binary64))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 25 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -5/27 binary64))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64))))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))))))
(*.f64 x (neg.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal -1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))))))
(*.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))
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(/.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(neg.f64 (pow.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (cbrt.f64 y)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (neg.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))))
(*.f64 (neg.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64)))) (/.f64 z (pow.f64 y #s(literal 1/4 binary64))))
(neg.f64 (pow.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))
(pow.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (pow.f64 z #s(literal -2 binary64)))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (sqrt.f64 y)))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))) #s(literal 1 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))

eval524.0ms (4.4%)

Compiler

Compiled 21899 to 14194 computations (35.2% saved)

prune213.0ms (1.8%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New88613899
Fresh347
Picked505
Done123
Total89519914
Accuracy
99.8%
Counts
914 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.7%
(pow.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) z) z) #s(literal -1 binary64))
68.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
29.8%
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/8 binary64))) y)
34.0%
(/.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) #s(literal 2 binary64))
34.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
33.5%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
33.5%
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 2 binary64)))
31.7%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
55.0%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
32.7%
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
34.2%
(*.f64 y #s(literal 1/2 binary64))
66.8%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) (sqrt.f64 y)) #s(literal 2 binary64)))
31.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) y))
31.6%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
51.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))))
67.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 (hypot.f64 (hypot.f64 x y) z) y)))
7.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z y)))
32.7%
(*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
31.2%
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
Compiler

Compiled 464 to 344 computations (25.9% saved)

localize218.0ms (1.8%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
92.5%
(/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
92.1%
(/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))
99.6%
(/.f64 z (sqrt.f64 y))
99.6%
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
99.7%
(/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) z) z)
99.5%
(pow.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) z) z) #s(literal -1 binary64))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
100.0%
(/.f64 (hypot.f64 (hypot.f64 x y) z) y)
99.9%
(*.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 (hypot.f64 (hypot.f64 x y) z) y))
Results
91.0ms152×256valid
63.0ms104×256infinite
Compiler

Compiled 157 to 67 computations (57.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
Operation ival-pow, time spent: 28.0ms, 25.0% of total-time
Operation ival-div, time spent: 26.0ms, 23.0% of total-time
Operation ival-mult, time spent: 23.0ms, 21.0% of total-time
Operation composed, time spent: 19.0ms, 17.0% of total-time
Operation ival-sqrt, time spent: 6.0ms, 5.0% of total-time
Operation const, time spent: 4.0ms, 4.0% of total-time
Operation ival-add, time spent: 3.0ms, 3.0% of total-time
Operation ival-neg, time spent: 2.0ms, 2.0% of total-time

series38.0ms (0.3%)

Counts
9 → 228
Calls
Call 1
Inputs
#<alt (*.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 (hypot.f64 (hypot.f64 x y) z) y))>
#<alt (/.f64 (hypot.f64 (hypot.f64 x y) z) y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))>
#<alt (pow.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) z) z) #s(literal -1 binary64))>
#<alt (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) z) z)>
#<alt (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))>
#<alt (/.f64 z (sqrt.f64 y))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))>
#<alt (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))>
Outputs
#<alt (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (+.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (/.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 #s(literal 1 binary64) y) (+.f64 (/.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 #s(literal 1 binary64) y) (+.f64 (/.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 #s(literal 1 binary64) y) (+.f64 (/.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 #s(literal 1 binary64) y) (+.f64 (/.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 #s(literal 1 binary64) y) (+.f64 (/.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 #s(literal 1 binary64) y) (+.f64 (/.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 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<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 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))))>
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#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.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)) y)>
#<alt (/.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)) y)>
#<alt (/.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)) y)>
#<alt (/.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)) y)>
#<alt (/.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)) y)>
#<alt (/.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)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
Calls

57 calls:

TimeVariablePointExpression
5.0ms
z
@-inf
(/ z (sqrt y))
3.0ms
z
@inf
(* (sqrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z))) (/ (sqrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z))) y))
2.0ms
y
@-inf
(/ (sqrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z))) y)
1.0ms
x
@0
(/ (sqrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z))) y)
1.0ms
z
@0
(/ (sqrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z))) y)

rewrite228.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
924×log1p-expm1-u
279×prod-diff
194×pow1
194×expm1-log1p-u
191×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030243
1450209
26158209
Stop Event
node limit
Counts
9 → 359
Calls
Call 1
Inputs
(*.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 (hypot.f64 (hypot.f64 x y) z) y))
(/.f64 (hypot.f64 (hypot.f64 x y) z) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(pow.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) z) z) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) z) z)
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 z (sqrt.f64 y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))
(/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(/.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 y (hypot.f64 (hypot.f64 x y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)
(/.f64 (*.f64 (hypot.f64 (hypot.f64 x y) z) (neg.f64 (hypot.f64 (hypot.f64 x y) z))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (hypot.f64 (hypot.f64 x y) z)) (hypot.f64 (hypot.f64 x y) z)) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (hypot.f64 x y) z) y))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (hypot.f64 x y) z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (hypot.f64 x y) z)) y))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (hypot.f64 x y) z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 (hypot.f64 x y) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)))
(*.f64 (sqrt.f64 (hypot.f64 (hypot.f64 x y) z)) (/.f64 (sqrt.f64 (hypot.f64 (hypot.f64 x y) z)) y))
(*.f64 (sqrt.f64 (hypot.f64 (hypot.f64 x y) z)) (*.f64 (sqrt.f64 (hypot.f64 (hypot.f64 x y) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)) (sqrt.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)))
(*.f64 (neg.f64 (hypot.f64 (hypot.f64 x y) z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (hypot.f64 (hypot.f64 x y) z) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (hypot.f64 (hypot.f64 x y) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (hypot.f64 (hypot.f64 x y) z) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (hypot.f64 x y) z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (hypot.f64 x y) z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (hypot.f64 x y) z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (hypot.f64 (hypot.f64 x y) z)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (hypot.f64 x y) z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (hypot.f64 x y) z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 (hypot.f64 x y) z)) y))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (hypot.f64 x y) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (hypot.f64 x y) z)) (cbrt.f64 y)))
(pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (hypot.f64 (hypot.f64 x y) z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 (hypot.f64 x y) z)) y))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (hypot.f64 x y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (neg.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z)))) #s(literal 1 binary64))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z))) (cbrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (*.f64 y (/.f64 #s(literal -2 binary64) z))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal -2 binary64) z))))
(*.f64 (/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal -2 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 y #s(literal -2 binary64))) z)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 y #s(literal -2 binary64))) z)))
(*.f64 (pow.f64 (*.f64 y (/.f64 #s(literal -2 binary64) z)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal -2 binary64))) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal -2 binary64))) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (*.f64 y (/.f64 #s(literal -2 binary64) z))))
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(expm1.f64 (log1p.f64 (/.f64 z (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 z (sqrt.f64 y))))
(exp.f64 (log.f64 (/.f64 z (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 x (sqrt.f64 y)))
(*.f64 x (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 x (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 y)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 y))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 x (/.f64 x y))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))) (sqrt.f64 y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 y)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (cbrt.f64 y)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (cbrt.f64 y)) (/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 y))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))))
(neg.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))

simplify297.0ms (2.5%)

Algorithm
egg-herbie
Rules
478×associate-*r*
472×associate-*r/
458×exp-prod
448×*-commutative
443×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095120194
1227919367
2781719367
Stop Event
node limit
Counts
587 → 561
Calls
Call 1
Inputs
(/.f64 (+.f64 (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)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (/.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)) 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 #s(literal 1 binary64) y) (+.f64 (/.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 (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 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.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 (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 (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 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (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 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 (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)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 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 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))
(/.f64 x y)
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(*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 x (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 y)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 y))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 x (/.f64 x y))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))) (sqrt.f64 y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 y)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (cbrt.f64 y)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (cbrt.f64 y)) (/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 y))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))))
(neg.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (fma.f64 y y (pow.f64 z #s(literal 2 binary64))) y)
(+.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (fma.f64 x (/.f64 x 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 #s(literal 1 binary64) y) (+.f64 (/.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 (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 (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)) 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 (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 (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 (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 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y)
(/.f64 (fma.f64 z z (pow.f64 x #s(literal 2 binary64))) y)
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) y)
(/.f64 (pow.f64 (hypot.f64 (hypot.f64 y x) z) #s(literal 2 binary64)) y)
(/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) y)
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) y)
(/.f64 (pow.f64 (hypot.f64 (hypot.f64 y x) z) #s(literal 2 binary64)) y)
(/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) y)
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) y)
(/.f64 (pow.f64 (hypot.f64 (hypot.f64 y x) z) #s(literal 2 binary64)) y)
(/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (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 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 (neg.f64 y) (fma.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))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (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 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (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 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)
(/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y)
(/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y)
(+.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.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)))))))
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(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
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(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(neg.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(neg.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)

eval476.0ms (4%)

Compiler

Compiled 10528 to 6533 computations (37.9% saved)

prune131.0ms (1.1%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New5529561
Fresh11112
Picked325
Done022
Total56614580
Accuracy
99.8%
Counts
580 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.7%
(/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z))
68.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
32.8%
(/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z))
32.7%
(/.f64 z (*.f64 y (/.f64 #s(literal -2 binary64) z)))
34.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
29.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal -2 binary64) z)))
55.0%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
32.8%
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
34.2%
(*.f64 y #s(literal 1/2 binary64))
35.7%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)))
35.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
32.7%
(*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
30.0%
(*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))))
31.5%
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
Compiler

Compiled 625 to 412 computations (34.1% saved)

regimes186.0ms (1.6%)

Counts
42 → 2
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z y)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
(/.f64 z (*.f64 y (/.f64 #s(literal -2 binary64) z)))
(/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z))
(/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal -2 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 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))
(pow.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) z) z) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/8 binary64))) y)
(*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
(pow.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) (sqrt.f64 y)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 (hypot.f64 (hypot.f64 x y) z) y)))
(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 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) (/.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal 1/2 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 3 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y)))
Outputs
(/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 (hypot.f64 (hypot.f64 x y) z) y)))
Calls

6 calls:

44.0ms
z
43.0ms
x
32.0ms
(*.f64 z z)
31.0ms
y
16.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
80.0%4x
90.5%2y
88.6%3z
94.2%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
80.0%4(*.f64 x x)
88.6%3(*.f64 z z)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
34 → 2
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z y)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
(/.f64 z (*.f64 y (/.f64 #s(literal -2 binary64) z)))
(/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z))
(/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal -2 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 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))
(pow.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) z) z) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/8 binary64))) y)
(*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
(pow.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) (sqrt.f64 y)) #s(literal 2 binary64)))
Outputs
(/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) (sqrt.f64 y)) #s(literal 2 binary64)))
Calls

1 calls:

11.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
93.7%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes194.0ms (1.6%)

Counts
33 → 2
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z y)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
(/.f64 z (*.f64 y (/.f64 #s(literal -2 binary64) z)))
(/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z))
(/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal -2 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 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))
(pow.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) z) z) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 #s(literal -1/8 binary64))) y)
(*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
(pow.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 y #s(literal 1/2 binary64))
Calls

4 calls:

132.0ms
y
33.0ms
z
17.0ms
(*.f64 z z)
11.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
77.4%3(*.f64 z z)
77.4%3z
86.9%2y
74.7%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes13.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z y)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
(/.f64 z (*.f64 y (/.f64 #s(literal -2 binary64) z)))
(/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z))
(/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal -2 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 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))
(pow.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) z) z) #s(literal -1 binary64))
Outputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
Calls

1 calls:

12.0ms
y
Results
AccuracySegmentsBranch
85.0%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes110.0ms (0.9%)

Counts
11 → 4
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z y)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
(/.f64 z (*.f64 y (/.f64 #s(literal -2 binary64) z)))
(/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z))
(/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal -2 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))))
Outputs
(*.f64 y #s(literal 1/2 binary64))
(/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
Calls

3 calls:

76.0ms
y
20.0ms
x
12.0ms
z
Results
AccuracySegmentsBranch
60.7%7z
61.8%4x
59.3%5y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.1%)

Counts
8 → 4
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z y)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
(/.f64 z (*.f64 y (/.f64 #s(literal -2 binary64) z)))
(/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z))
Outputs
(*.f64 y #s(literal 1/2 binary64))
(/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
61.8%4x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Counts
7 → 4
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z y)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
(/.f64 z (*.f64 y (/.f64 #s(literal -2 binary64) z)))
Outputs
(*.f64 y #s(literal 1/2 binary64))
(/.f64 z (*.f64 y (/.f64 #s(literal -2 binary64) z)))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
61.8%4x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Counts
6 → 4
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z y)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
Outputs
(*.f64 y #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y)))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
61.8%4x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
55.3%2x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

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

3 calls:

2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
34.2%1z
34.2%1y
34.2%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.580035057572825e-53
0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.580035057572825e-53
0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
2.0149088802523646e+150
3.2293310092823114e+154
Results
11.0ms98×256valid
3.0ms30×256infinite
Compiler

Compiled 224 to 152 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-mult, time spent: 3.0ms, 48.0% of total-time
Operation ival-sub, time spent: 1.0ms, 16.0% of total-time
Operation ival-div, time spent: 1.0ms, 16.0% of total-time
Operation ival-add, time spent: 1.0ms, 16.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch23.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
2.0149088802523646e+150
3.2293310092823114e+154
Results
13.0ms95×256valid
3.0ms33×256infinite
Compiler

Compiled 232 to 160 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-mult, time spent: 4.0ms, 65.0% of total-time
Operation ival-sub, time spent: 1.0ms, 16.0% of total-time
Operation ival-div, time spent: 1.0ms, 16.0% of total-time
Operation ival-add, time spent: 1.0ms, 16.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch46.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
3.065138413981591e+82
5.18852805953267e+82
22.0ms
2.8137756210173443e-56
1.4523865121429771e-49
11.0ms
1.8226711587400569e-152
5.067270822194891e-152
Results
23.0ms208×256valid
10.0ms80×256infinite
Compiler

Compiled 362 to 282 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-mult, time spent: 8.0ms, 55.0% of total-time
Operation ival-div, time spent: 3.0ms, 20.0% of total-time
Operation ival-sub, time spent: 2.0ms, 14.0% of total-time
Operation ival-add, time spent: 2.0ms, 14.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch58.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3.065138413981591e+82
5.18852805953267e+82
25.0ms
2.8137756210173443e-56
1.4523865121429771e-49
19.0ms
8.76673291429812e-151
9.921057612642405e-148
Results
32.0ms248×256valid
9.0ms88×256infinite
Compiler

Compiled 402 to 310 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
Operation ival-mult, time spent: 15.0ms, 70.0% of total-time
Operation ival-div, time spent: 3.0ms, 14.0% of total-time
Operation ival-sub, time spent: 2.0ms, 9.0% of total-time
Operation ival-add, time spent: 2.0ms, 9.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch47.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3.065138413981591e+82
5.18852805953267e+82
22.0ms
2.8137756210173443e-56
1.4523865121429771e-49
11.0ms
1.8226711587400569e-152
5.067270822194891e-152
Results
24.0ms210×256valid
8.0ms78×256infinite
Compiler

Compiled 348 to 268 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-mult, time spent: 8.0ms, 58.0% of total-time
Operation ival-sub, time spent: 2.0ms, 14.0% of total-time
Operation ival-div, time spent: 2.0ms, 14.0% of total-time
Operation ival-add, time spent: 2.0ms, 14.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch59.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3.065138413981591e+82
5.18852805953267e+82
22.0ms
2.8137756210173443e-56
1.4523865121429771e-49
23.0ms
8.76673291429812e-151
9.921057612642405e-148
Results
33.0ms232×256valid
11.0ms104×256infinite
Compiler

Compiled 402 to 310 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
Operation ival-mult, time spent: 16.0ms, 70.0% of total-time
Operation ival-div, time spent: 3.0ms, 13.0% of total-time
Operation ival-sub, time spent: 2.0ms, 9.0% of total-time
Operation ival-add, time spent: 2.0ms, 9.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch10.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
3.065138413981591e+82
5.18852805953267e+82
Results
3.0ms32×256infinite
3.0ms32×256valid
Compiler

Compiled 96 to 72 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
Operation ival-mult, time spent: 2.0ms, 65.0% of total-time
Operation ival-div, time spent: 1.0ms, 33.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify29.0ms (0.2%)

Algorithm
egg-herbie
Rules
18×*-commutative
10×+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096999
1120999
2131999
3141999
4153999
5160999
6165999
7167999
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -336999333339383/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 (hypot.f64 (hypot.f64 x y) z) y))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -336999333339383/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) (sqrt.f64 y)) #s(literal 2 binary64))))
(if (<=.f64 y #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) (*.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 y #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal 4953325682578273/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (*.f64 y #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 7548785066802179/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z)) (if (<=.f64 x #s(literal 38999999999999997561867065942308647122992792815330764133960503144094169314631876608 binary64)) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y))))))
(if (<=.f64 x #s(literal 4750852967037615/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (*.f64 y #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 8222783733480945/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (/.f64 z y) (/.f64 #s(literal -2 binary64) z)) (if (<=.f64 x #s(literal 31000000000000003246602026867727346687574095639038044626445096577466996334119616512 binary64)) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y))))))
(if (<=.f64 x #s(literal 7783797501194429/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (*.f64 y #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 6211571712111507/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (/.f64 z (*.f64 y (/.f64 #s(literal -2 binary64) z))) (if (<=.f64 x #s(literal 36000000000000001378639342986255646626399224312947911420963752090394759515915419648 binary64)) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y))))))
(if (<=.f64 x #s(literal 2073099476525505/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) (*.f64 y #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 8799726592157969/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) (if (<=.f64 x #s(literal 31000000000000003246602026867727346687574095639038044626445096577466996334119616512 binary64)) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y))))))
(if (<=.f64 x #s(literal 31999999999999997481020156661305047741936103969893883257919943171938052749756727296 binary64)) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y))))
(*.f64 y #s(literal 1/2 binary64))
Outputs
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -336999333339383/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 (hypot.f64 (hypot.f64 x y) z) y))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -336999333339383/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 z (/.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 (hypot.f64 (hypot.f64 x y) z) y))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -336999333339383/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 z (/.f64 (*.f64 y (neg.f64 #s(literal 2 binary64))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 (hypot.f64 x y) z) (/.f64 (hypot.f64 (hypot.f64 x y) z) y))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -336999333339383/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) (sqrt.f64 y)) #s(literal 2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -336999333339383/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 z (/.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) (sqrt.f64 y)) #s(literal 2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -336999333339383/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 z (/.f64 (*.f64 y (neg.f64 #s(literal 2 binary64))) z)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 (hypot.f64 x y) z) (sqrt.f64 y)) #s(literal 2 binary64))))
(if (<=.f64 y #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) (*.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 y #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal 4953325682578273/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (*.f64 y #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 7548785066802179/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (/.f64 (neg.f64 z) (/.f64 (*.f64 y #s(literal 2 binary64)) z)) (if (<=.f64 x #s(literal 38999999999999997561867065942308647122992792815330764133960503144094169314631876608 binary64)) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x y))))))
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(*.f64 y #s(literal 1/2 binary64))
Compiler

Compiled 298 to 197 computations (33.9% saved)

soundness1.9s (15.7%)

Rules
1143×log1p-expm1-u
924×log1p-expm1-u
822×expm1-log1p-u
684×div-sub
630×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049720824
1117319857
2450018954
021205
1329185
24754185
0136146264
1322242213
035315
1537271
27136271
030243
1450209
26158209
047672
1164660
2533660
32454660
47758660
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1582 to 794 computations (49.8% saved)

end0.0ms (0%)

preprocess315.0ms (2.7%)

Remove

(abs z)

(abs x)

Compiler

Compiled 1318 to 740 computations (43.9% saved)

Profiling

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