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

Time bar (total: 10.4s)

analyze56.0ms (0.5%)

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

Compiled 19 to 12 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 19.0ms (67.5% of total)
ival-sub: 3.0ms (10.7% of total)
ival-add: 3.0ms (10.7% of total)
ival-div: 2.0ms (7.1% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

sample958.0ms (9.2%)

Results
684.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 431.0ms
ival-mult: 266.0ms (61.7% of total)
ival-div: 64.0ms (14.9% of total)
ival-add: 45.0ms (10.4% of total)
ival-sub: 43.0ms (10% of total)
const: 11.0ms (2.6% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess113.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

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

(abs x)

(abs z)

(negabs y)

explain104.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
670-0-(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
260-0-(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-x
00-0-(*.f64 y y)
00-0-(*.f64 z z)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-(*.f64 y #s(literal 2 binary64))
00-0-(*.f64 x x)
00-0-z
Results
61.0ms512×0valid
Compiler

Compiled 124 to 35 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 15.0ms (62.6% of total)
ival-div: 4.0ms (16.7% of total)
ival-sub: 2.0ms (8.4% of total)
ival-add: 2.0ms (8.4% of total)
const: 1.0ms (4.2% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 45 to 17 computations (62.2% saved)

prune176.0ms (1.7%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.2%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶70.7%
(*.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)

localize123.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(-.f64 (*.f64 y y) (*.f64 z z))
✓cost-diff128
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
✓accuracy100.0%
(*.f64 y #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy91.0%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
✓accuracy75.8%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
✓accuracy99.7%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
✓accuracy97.7%
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
✓accuracy93.7%
(-.f64 (*.f64 y y) (*.f64 z z))
✓accuracy75.8%
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
Rules
616×fma-neg
442×distribute-lft-in
411×associate-+l-
411×unsub-neg
405×distribute-rgt-in
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
023423
149423
2101423
3252423
4689423
51837414
64031396
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
x
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y)
(fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))
(fma.f64 y y (fma.f64 x x (*.f64 z (neg.f64 z))))
x
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))
(fma.f64 y y (fma.f64 x x (*.f64 z (neg.f64 z))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
Results
43.0ms256×0valid
Compiler

Compiled 106 to 17 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (42.5% of total)
ival-fma: 5.0ms (23.6% of total)
ival-div: 3.0ms (14.2% of total)
ival-sub: 2.0ms (9.4% of total)
ival-add: 1.0ms (4.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series183.0ms (1.8%)

Counts
10 → 252
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 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))>
#<alt (*.f64 x x)>
#<alt (*.f64 y #s(literal 2 binary64))>
#<alt (*.f64 y y)>
#<alt (*.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))))>
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#<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 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 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 (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))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<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 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
Calls

63 calls:

TimeVariablePointExpression
155.0ms
x
@-inf
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms
x
@0
(/ (+ (* x x) (- (* y y) (* z z))) y)
1.0ms
y
@0
(/ (+ (* x x) (- (* y y) (* z z))) y)
1.0ms
x
@inf
(/ (+ (* x x) (- (* y y) (* z z))) y)
1.0ms
y
@inf
(/ (+ (* x x) (- (* y y) (* z z))) y)

rewrite356.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
1169×log1p-expm1-u
595×expm1-log1p-u
152×add-cube-cbrt
151×add-exp-log
151×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023299
1353274
25104274
Stop Event
1×node limit
Counts
10 → 335
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 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(*.f64 x x)
(*.f64 y #s(literal 2 binary64))
(*.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))
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(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))

simplify362.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
681×fma-neg
415×associate-*r*
358×associate-*l*
262×times-frac
210×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067028041
1158226092
2693126050
Stop Event
1×node limit
Counts
587 → 424
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
y
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
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(+.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 (+.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 (-.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 (+.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 (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 (+.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 (-.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 (+.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 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))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
Outputs
(/.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))
(+.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 (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.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 (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.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 (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
y
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(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)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 y #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 y #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 y #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(pow.f64 z #s(literal 2 binary64))

eval57.0ms (0.6%)

Compiler

Compiled 9343 to 1590 computations (83% saved)

prune158.0ms (1.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New43912451
Fresh000
Picked112
Done000
Total44013453
Accuracy
93.1%
Counts
453 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.0%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
✓70.2%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
70.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
▶33.6%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
28.8%
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
44.8%
(*.f64 (/.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)))) #s(literal 2 binary64)))
70.0%
(*.f64 (/.f64 #s(literal 1/2 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)))
57.5%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
▶33.7%
(*.f64 y #s(literal 1/2 binary64))
▶61.1%
(*.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))
▶79.7%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
52.3%
(*.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)))))
42.7%
(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))))
Compiler

Compiled 442 to 279 computations (36.9% saved)

localize409.0ms (3.9%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
✓cost-diff13056
(fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))
✓cost-diff13120
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
✓cost-diff13184
(/.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)
✓cost-diff13184
(*.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))
✓cost-diff0
(sqrt.f64 (*.f64 y #s(literal 2 binary64)))
cost-diff0
(*.f64 y y)
✓cost-diff320
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
✓cost-diff12864
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
✓cost-diff0
(*.f64 y #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
✓cost-diff64
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
✓cost-diff128
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
✓accuracy99.7%
(*.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))
✓accuracy97.7%
(fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))))
✓accuracy75.8%
(/.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)
✓accuracy29.9%
(fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 (*.f64 y #s(literal 2 binary64)))
✓accuracy99.2%
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
accuracy91.0%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
✓accuracy75.8%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
✓accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy88.2%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy99.7%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
✓accuracy93.9%
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
✓accuracy88.3%
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
✓accuracy84.5%
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
Rules
866×fma-define
801×sub-neg
481×times-frac
387×unsub-neg
341×associate-+l-
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040805
181772
2173746
3494711
41876671
55685671
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
#s(literal 1/2 binary64)
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
y
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 z #s(literal 2 binary64))
z
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y))
#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)
(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)))))
x
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 y z)
y
z
(-.f64 y z)
(fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))
(neg.f64 z)
(pow.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y)))
#s(literal 1/2 binary64)
(-.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)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 y (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y))
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 x (/.f64 x y) y)
y
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 z #s(literal 2 binary64))
z
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 y y)
y
(*.f64 z z)
(pow.f64 z #s(literal 2 binary64))
z
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 y #s(literal 2 binary64))
(sqrt.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y)))
#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 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 y (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y))
(fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))))
(-.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
x
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 z (+.f64 (neg.f64 z) z)))
(fma.f64 z (*.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 y y) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 y y) (pow.f64 z #s(literal 2 binary64)))
(+.f64 y z)
y
z
(-.f64 y z)
(fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))
(*.f64 z (+.f64 (neg.f64 z) z))
(*.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))
#s(literal 0 binary64)
(neg.f64 z)
(pow.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
Results
146.0ms181×1valid
29.0ms75×0valid
Compiler

Compiled 238 to 33 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 22.0ms (20.4% of total)
ival-fma: 21.0ms (19.5% of total)
ival-div: 16.0ms (14.9% of total)
ival-pow: 15.0ms (13.9% of total)
backward-pass: 12.0ms (11.1% of total)
ival-add: 8.0ms (7.4% of total)
ival-sub: 8.0ms (7.4% of total)
ival-sqrt: 3.0ms (2.8% of total)
ival-neg: 2.0ms (1.9% of total)
const: 1.0ms (0.9% of total)

series69.0ms (0.7%)

Counts
17 → 330
Calls
Call 1
Inputs
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #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 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (*.f64 y #s(literal 1/2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 y #s(literal 2 binary64)))>
#<alt (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y)>
#<alt (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #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))>
#<alt (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (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 y>
#<alt (*.f64 #s(literal -1 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 #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 #s(literal -1 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 #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 #s(literal -1 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 #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 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 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 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #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 y (/.f64 (pow.f64 x #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 y (/.f64 (pow.f64 x #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 y (/.f64 (pow.f64 x #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))))>
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#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))) y)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))) y)) #s(literal 1/2 binary64))))>
#<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 (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 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #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 (pow.f64 x #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 (pow.f64 x #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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt 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 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 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 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 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 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 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 y (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z)))) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 y (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z)))) (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 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 z y) (/.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 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 z y) (/.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 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y))) y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y))) y))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (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 #s(literal -1 binary64) (/.f64 y z)) (/.f64 y z)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 y z) (/.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 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 y z) (/.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 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) z)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) z)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) z)) #s(literal 1 binary64)))>
Calls

102 calls:

TimeVariablePointExpression
5.0ms
y
@inf
(/ (pow x 2) y)
4.0ms
y
@0
(/ (- (+ (* x x) (* y y)) (* z z)) (pow (sqrt (* y 2)) 2))
3.0ms
y
@0
(pow (sqrt (* y 2)) 2)
2.0ms
y
@0
(/ (pow z 2) y)
1.0ms
x
@0
(/ (- (+ (* x x) (* y y)) (* z z)) (pow (sqrt (* y 2)) 2))

rewrite188.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
307×log1p-expm1-u
307×expm1-log1p-u
301×add-cube-cbrt
297×add-exp-log
297×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040643
1700568
Stop Event
1×node limit
Counts
17 → 364
Calls
Call 1
Inputs
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #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 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))
(/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y)
(fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #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 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 (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 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 z (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) (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 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 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)))
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(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)
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(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) y)
(+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 z z (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 z z (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))))
(pow.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify408.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
529×associate-*r*
493×fma-define
478×associate-*l*
327×times-frac
294×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0110335365
1272331083
Stop Event
1×node limit
Counts
694 → 703
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)))))
y
(*.f64 #s(literal -1 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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
(-.f64 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 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 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 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
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(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.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))))
(*.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))))
(*.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))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.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))))
(*.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))))
(*.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))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
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(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
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(*.f64 #s(literal 1/2 binary64) y)
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(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (hypot.f64 x (sqrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))) (hypot.f64 x (sqrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (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 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))))
(pow.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))) y)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))) (neg.f64 y))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))))
(pow.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(cbrt.f64 (pow.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(log1p.f64 (expm1.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(exp.f64 (log.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)
(fma.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)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) y)
(+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 z z (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 z z (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))))
(pow.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (fma.f64 z z (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 (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 (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 (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 (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 (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 (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)))))
y
(*.f64 #s(literal -1 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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 (neg.f64 y) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
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eval111.0ms (1.1%)

Compiler

Compiled 15918 to 2673 computations (83.2% saved)

prune201.0ms (1.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New72310733
Fresh707
Picked325
Done011
Total73313746
Accuracy
99.6%
Counts
746 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶33.4%
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓70.0%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
✓70.2%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶68.0%
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))
28.8%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
▶33.6%
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
✓33.7%
(*.f64 y #s(literal 1/2 binary64))
▶85.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
85.3%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
79.6%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))))
▶85.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
79.7%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
85.2%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
Compiler

Compiled 369 to 251 computations (32% saved)

localize585.0ms (5.6%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff6400
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
✓cost-diff6464
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y)
✓cost-diff6528
(-.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
✓cost-diff6528
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))
✓cost-diff12864
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓cost-diff-64
(fma.f64 x (/.f64 x y) y)
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))
cost-diff-6336
(*.f64 x x)
✓cost-diff-6336
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(pow.f64 x #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
cost-diff64
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
✓cost-diff128
(/.f64 z #s(literal 1 binary64))
✓accuracy99.7%
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
✓accuracy99.6%
(/.f64 x (sqrt.f64 y))
✓accuracy93.9%
(-.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
accuracy84.5%
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))
✓accuracy99.2%
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.9%
(fma.f64 x (/.f64 x y) y)
✓accuracy99.7%
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
accuracy100.0%
(*.f64 x x)
✓accuracy88.2%
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
✓accuracy99.8%
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
✓accuracy99.7%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
✓accuracy93.9%
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))
accuracy88.3%
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
Rules
848×fma-define
544×distribute-rgt-in
491×unsub-neg
477×distribute-lft-in
453×distribute-lft-neg-in
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
039640
179613
2167613
3347613
4727609
51145601
61808601
73619581
85166581
96021581
106194581
116231581
126269581
136274581
147104581
157466581
167538581
177898581
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
#s(literal 1/2 binary64)
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
y
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(/.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(/.f64 z y)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 x y) y)
x
(/.f64 x y)
y
#s(literal 1/2 binary64)
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
#s(literal 1/2 binary64)
(-.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y)
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 x (sqrt.f64 y))
x
(sqrt.f64 y)
y
#s(literal 2 binary64)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 z #s(literal 2 binary64))
z
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
#s(literal 1/2 binary64)
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))
(+.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (fma.f64 x (/.f64 x y) 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 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 x (/.f64 x y) y)
y
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 z #s(literal 1 binary64))
z
z
#s(literal 1 binary64)
(/.f64 z y)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
(fma.f64 x (/.f64 x y) y)
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
x
(/.f64 x y)
y
#s(literal 1/2 binary64)
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
#s(literal 1/2 binary64)
(-.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #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 (fma.f64 x (/.f64 x y) 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 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y)
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 x (/.f64 x y) y)
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 x (sqrt.f64 y))
x
(sqrt.f64 y)
y
#s(literal 2 binary64)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 z #s(literal 2 binary64))
z
Results
210.0ms256×0valid
Compiler

Compiled 185 to 32 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 17.0ms (29.1% of total)
ival-pow: 13.0ms (22.2% of total)
ival-div: 12.0ms (20.5% of total)
ival-sub: 6.0ms (10.3% of total)
ival-sqrt: 4.0ms (6.8% of total)
ival-add: 3.0ms (5.1% of total)
ival-fma: 3.0ms (5.1% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series45.0ms (0.4%)

Counts
15 → 348
Calls
Call 1
Inputs
#<alt (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))>
#<alt (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))>
#<alt (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))>
#<alt (fma.f64 x (/.f64 x y) y)>
#<alt (/.f64 x y)>
#<alt (pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (/.f64 x (sqrt.f64 y))>
#<alt (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))>
#<alt (/.f64 z #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y)>
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 y>
#<alt (*.f64 #s(literal -1 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 #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 #s(literal -1 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 #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 #s(literal -1 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 #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 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 (+.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 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)))>
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#<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 y>
#<alt (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 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 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 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 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 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 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 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.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 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.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)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.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)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.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)))) #s(literal 1 binary64))))>
Calls

93 calls:

TimeVariablePointExpression
6.0ms
x
@0
(/ x (sqrt y))
2.0ms
y
@0
(* 1/2 (- (+ y (/ (pow x 2) y)) (* (/ z 1) (/ z y))))
2.0ms
z
@-inf
(- (+ (pow (/ x (sqrt y)) 2) y) (/ (pow z 2) y))
1.0ms
y
@0
(pow (sqrt (* y 1/2)) 2)
1.0ms
y
@-inf
(- (+ (pow (/ x (sqrt y)) 2) y) (/ (pow z 2) y))

rewrite351.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
270×log1p-expm1-u
270×expm1-log1p-u
260×add-exp-log
260×add-log-exp
257×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039432
1676392
Stop Event
1×node limit
Counts
15 → 509
Calls
Call 1
Inputs
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 x y) y)
(/.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 x (sqrt.f64 y))
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 z #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y)
Outputs
(+.f64 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)) y) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(+.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (fma.f64 (neg.f64 (/.f64 z y)) z (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (fma.f64 (neg.f64 (/.f64 z (sqrt.f64 y))) (/.f64 z (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64)) (*.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) y) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) y) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 x y) y)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 x y) y)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(*.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (fma.f64 x (/.f64 x y) y))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 (+.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) (/.f64 z (sqrt.f64 y))) (-.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) (/.f64 z (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (fma.f64 x (/.f64 x y) y)))) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (fma.f64 x (/.f64 x y) y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) y))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 y)) (*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) y) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) y))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (neg.f64 y)) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (neg.f64 y)))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 y))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1/2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 y))))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fabs.f64 (/.f64 x (sqrt.f64 y)))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 y))))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (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)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.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 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (/.f64 x (sqrt.f64 y))))
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 x 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 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 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (pow.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 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) x) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (cbrt.f64 (/.f64 x (sqrt.f64 y))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(/.f64 x (/.f64 y x))
(/.f64 x (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (neg.f64 y)))
(neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) y))
(sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 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 x (sqrt.f64 y)) #s(literal 6 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 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)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (neg.f64 z) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(neg.f64 (neg.f64 z))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(fabs.f64 z)
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))))
(+.f64 (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #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 y (/.f64 (-.f64 (pow.f64 x #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 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 x y) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 x y) y)))
(*.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))))
(*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))) (neg.f64 (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 x y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 x y) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x y) y)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 x y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x y) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) y)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))

simplify561.0ms (5.4%)

Algorithm
1×egg-herbie
Rules
510×associate-/r*
380×associate-/l*
322×fma-define
297×*-commutative
235×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095939890
1238638528
Stop Event
1×node limit
Counts
857 → 550
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
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(*.f64 x (/.f64 x y))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.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 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (/.f64 x (sqrt.f64 y))))
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 x 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 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 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (pow.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 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) x) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (cbrt.f64 (/.f64 x (sqrt.f64 y))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(/.f64 x (/.f64 y x))
(/.f64 x (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (neg.f64 y)))
(neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) y))
(sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 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 x (sqrt.f64 y)) #s(literal 6 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 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)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (neg.f64 z) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(neg.f64 (neg.f64 z))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(fabs.f64 z)
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))))
(+.f64 (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #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 y (/.f64 (-.f64 (pow.f64 x #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 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 x y) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 x y) y)))
(*.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))))
(*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))) (neg.f64 (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 x y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 x y) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x y) y)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 x y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x y) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) y)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
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 (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 (fma.f64 x x (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 (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 (fma.f64 x x (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 (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 (fma.f64 x x (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 #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 (pow.f64 x #s(literal 2 binary64)) (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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(pow.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(pow.f64 (pow.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #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))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (log.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 x y) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) y)))
(-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) y))
(fma.f64 x (/.f64 x y) y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 x y) y)))
(fma.f64 x (/.f64 x y) y)
(*.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))))
(fma.f64 x (/.f64 x y) y)
(*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) y))))
(*.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))) (fma.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))) (neg.f64 (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1 binary64))
(fma.f64 x (/.f64 x y) y)
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 3 binary64))
(fma.f64 x (/.f64 x y) y)
(pow.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (/.f64 x y) y)
(pow.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(fma.f64 x (/.f64 x y) y)
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x (/.f64 x y) y))
(log.f64 (exp.f64 (fma.f64 x (/.f64 x y) y)))
(fma.f64 x (/.f64 x y) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 x y) y))))
(fma.f64 x (/.f64 x y) y)
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)))
(fma.f64 x (/.f64 x y) y)
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x y) y)))
(fma.f64 x (/.f64 x y) y)
(exp.f64 (log.f64 (fma.f64 x (/.f64 x y) y)))
(fma.f64 x (/.f64 x y) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x y) y)
(fma.f64 x (/.f64 x y) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 x (/.f64 x y) y)
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)
(fma.f64 x (/.f64 x y) y)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y) y)
(fma.f64 x (/.f64 x y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 x (/.f64 x y) y)
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) y)
(fma.f64 x (/.f64 x y) y)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 x (/.f64 x y) y)

eval131.0ms (1.3%)

Compiler

Compiled 14172 to 2541 computations (82.1% saved)

prune105.0ms (1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New7106716
Fresh325
Picked415
Done033
Total71712729
Accuracy
100.0%
Counts
729 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓70.0%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
✓70.2%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶68.0%
(*.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64))
28.8%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
✓33.6%
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
✓33.7%
(*.f64 y #s(literal 1/2 binary64))
85.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
▶85.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
▶79.6%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))))
85.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 z (/.f64 y z))))
▶85.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
▶92.5%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
Compiler

Compiled 345 to 228 computations (33.9% saved)

localize345.0ms (3.3%)

Algorithm
1×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff64
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
✓cost-diff6656
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
✓cost-diff6656
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))))
✓cost-diff12928
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
✓cost-diff-6272
(+.f64 (/.f64 x (/.f64 y x)) y)
✓cost-diff0
(pow.f64 z #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(*.f64 x (/.f64 #s(literal 1 binary64) y))
✓cost-diff128
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y)
✓cost-diff128
(*.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64))
✓cost-diff-6272
(+.f64 y (/.f64 (*.f64 x x) y))
cost-diff-6208
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
✓cost-diff0
(/.f64 z y)
cost-diff128
(/.f64 z #s(literal 1 binary64))
✓cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 x y)
cost-diff128
(/.f64 z #s(literal 1 binary64))
✓cost-diff128
(/.f64 x #s(literal 1 binary64))
✓accuracy93.9%
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
✓accuracy93.1%
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
✓accuracy91.4%
(/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))
accuracy88.3%
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
✓accuracy99.8%
(/.f64 x (/.f64 y x))
✓accuracy99.7%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
✓accuracy93.9%
(-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
accuracy84.5%
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.9%
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y)
✓accuracy99.7%
(*.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64))
✓accuracy99.7%
(*.f64 x (/.f64 #s(literal 1 binary64) y))
accuracy99.8%
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
✓accuracy99.7%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
✓accuracy93.9%
(-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))
✓accuracy88.3%
(/.f64 (*.f64 x x) y)
✓accuracy99.8%
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))
accuracy99.8%
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
✓accuracy99.7%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
✓accuracy93.9%
(-.f64 (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))
Rules
783×fma-define
548×fma-neg
433×distribute-lft-in
413×distribute-rgt-in
391×times-frac
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
047995
1104976
2215976
3450976
41171968
52229944
64080928
77692928
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
#s(literal 1/2 binary64)
(-.f64 (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y)))
y
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))
(/.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 x y)
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(/.f64 z #s(literal 1 binary64))
z
(/.f64 z y)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
#s(literal 1/2 binary64)
(-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))
(+.f64 y (/.f64 (*.f64 x x) y))
y
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(/.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(/.f64 z y)
(*.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y)
x
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
#s(literal 1/2 binary64)
(-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 (/.f64 x (/.f64 y x)) y)
(/.f64 x (/.f64 y x))
x
(/.f64 y x)
y
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))))
#s(literal 1/2 binary64)
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
y
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))
(pow.f64 z #s(literal 2 binary64))
z
(sqrt.f64 y)
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y))
#s(literal 1/2 binary64)
(-.f64 (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y)
(+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y)))
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 x (/.f64 x y) y)
y
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)
(/.f64 x y)
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 z #s(literal 1 binary64))
z
z
(/.f64 z y)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y))
#s(literal 1/2 binary64)
(-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y)
(+.f64 y (/.f64 (*.f64 x x) y))
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 x (/.f64 x y) y)
y
(/.f64 (*.f64 x x) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 z #s(literal 1 binary64))
z
z
#s(literal 1 binary64)
(/.f64 z y)
(*.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y)
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 x (/.f64 x y) y)
x
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y))
#s(literal 1/2 binary64)
(-.f64 (+.f64 (/.f64 x (/.f64 y x)) 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 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y)
(+.f64 (/.f64 x (/.f64 y x)) y)
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 x (/.f64 x y) y)
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
x
(/.f64 y x)
y
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y))
#s(literal 1/2 binary64)
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y)
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 x (/.f64 x y) y)
y
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))
(pow.f64 z #s(literal 2 binary64))
z
(sqrt.f64 y)
Results
176.0ms256×0valid
Compiler

Compiled 307 to 40 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 21.0ms (35.9% of total)
ival-mult: 16.0ms (27.4% of total)
ival-pow: 7.0ms (12% of total)
ival-add: 5.0ms (8.5% of total)
ival-sub: 5.0ms (8.5% of total)
ival-fma: 3.0ms (5.1% of total)
ival-sqrt: 2.0ms (3.4% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series174.0ms (1.7%)

Counts
23 → 540
Calls
Call 1
Inputs
#<alt (-.f64 (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))>
#<alt (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))>
#<alt (/.f64 (*.f64 x x) y)>
#<alt (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))>
#<alt (*.f64 x (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64))>
#<alt (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (/.f64 x (/.f64 y x))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))>
#<alt (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))>
#<alt (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))>
#<alt (/.f64 x #s(literal 1 binary64))>
#<alt (/.f64 z y)>
#<alt (+.f64 y (/.f64 (*.f64 x x) y))>
#<alt (/.f64 y x)>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (+.f64 (/.f64 x (/.f64 y x)) y)>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))))>
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>
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#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
Calls

153 calls:

TimeVariablePointExpression
27.0ms
x
@inf
(- (+ y (/ (pow x 2) y)) (/ (/ (pow z 2) (sqrt y)) (sqrt y)))
1.0ms
y
@-inf
(/ (pow z 2) (sqrt y))
1.0ms
z
@0
(/ (pow z 2) (sqrt y))
1.0ms
y
@-inf
(/ (/ (pow z 2) (sqrt y)) (sqrt y))
0.0ms
y
@-inf
(* 1/2 (- (+ y (/ (pow x 2) y)) (/ (/ (pow z 2) (sqrt y)) (sqrt y))))

rewrite352.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
269×frac-times
214×log1p-expm1-u
214×expm1-log1p-u
211×add-cube-cbrt
209×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047708
1920644
Stop Event
1×node limit
Counts
23 → 1015
Calls
Call 1
Inputs
(-.f64 (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))
(/.f64 (*.f64 x x) y)
(-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y)
(/.f64 #s(literal 1 binary64) y)
(-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 x #s(literal 1 binary64))
(/.f64 z y)
(+.f64 y (/.f64 (*.f64 x x) y))
(/.f64 y x)
(pow.f64 z #s(literal 2 binary64))
(+.f64 (/.f64 x (/.f64 y x)) y)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))))
Outputs
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(+.f64 y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(+.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (fma.f64 (neg.f64 (/.f64 z y)) z (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (fma.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (fma.f64 (neg.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 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (fma.f64 (neg.f64 (/.f64 z (sqrt.f64 y))) (/.f64 z (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) (fma.f64 x (/.f64 x y) y))
(+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)
(+.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(*.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 (+.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) (/.f64 z (sqrt.f64 y))) (-.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) (/.f64 z (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) y))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 y)) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (sqrt.f64 y))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (sqrt.f64 y))))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (neg.f64 (sqrt.f64 y))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (*.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) y))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) (*.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))) (*.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 y)) (*.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (*.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (sqrt.f64 y))) (*.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (sqrt.f64 y))))) (*.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (neg.f64 (sqrt.f64 y))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64))) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64))) y) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) y))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 y)) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64))) (neg.f64 y)) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64))) (neg.f64 (sqrt.f64 y))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (sqrt.f64 y))))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (neg.f64 (sqrt.f64 y))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))) (*.f64 (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
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(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x y) y)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 x y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x y) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)
(fma.f64 (/.f64 x y) x y)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(neg.f64 (/.f64 y (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 z z)
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z))
(*.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(/.f64 z (/.f64 #s(literal 1 binary64) z))
(/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 z) (neg.f64 z)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 x y) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) y))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 x y) y)))
(*.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))))
(*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))))) (neg.f64 (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 x y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 x y) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x y) y)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 x y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x y) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)
(fma.f64 (/.f64 x y) x y)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))))) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #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 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64)))

simplify1.0s (9.8%)

Algorithm
1×egg-herbie
Rules
491×associate-*r/
381×fma-define
293×*-commutative
212×fma-neg
195×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119884252
1297382454
Stop Event
1×node limit
Counts
1555 → 770
Calls
Call 1
Inputs
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(*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))))) (neg.f64 (-.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 x y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 x y) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x y) y)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 x y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x y) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y)
(fma.f64 (/.f64 x y) x y)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))))) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #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 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #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 (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 (fma.f64 x x (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 (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 (fma.f64 x x (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 (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 (fma.f64 x x (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 #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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 (neg.f64 y) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 z #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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 (neg.f64 y) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 z #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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 (neg.f64 y) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 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 y (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.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 y (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.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 y (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.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 y (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
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(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.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)) y) #s(literal 1/2 binary64)) (*.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (fma.f64 x (/.f64 x y) y)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (fma.f64 z (/.f64 z y) (fma.f64 x (/.f64 x y) y)) (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))))) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (fma.f64 x (/.f64 x y) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (fma.f64 z (/.f64 z y) (fma.f64 x (/.f64 x y) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (fma.f64 x (/.f64 x y) y)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (fma.f64 z (/.f64 z y) (fma.f64 x (/.f64 x y) y)) (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 x (/.f64 x y) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (fma.f64 x (/.f64 x y) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (fma.f64 z (/.f64 z y) (fma.f64 x (/.f64 x y) y))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))

eval140.0ms (1.4%)

Compiler

Compiled 25175 to 4080 computations (83.8% saved)

prune172.0ms (1.7%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New110381111
Fresh213
Picked505
Done044
Total1110131123
Accuracy
100.0%
Counts
1123 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓70.0%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
✓70.2%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
28.8%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
✓33.6%
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
✓33.7%
(*.f64 y #s(literal 1/2 binary64))
85.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))))
85.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) z)) y)))
85.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) y)))
92.5%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
85.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (/.f64 z (/.f64 y z))))
85.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z (/.f64 z y))))
92.6%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
92.5%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
Compiler

Compiled 800 to 309 computations (61.4% saved)

regimes76.0ms (0.7%)

Counts
38 → 2
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (/.f64 z (/.f64 y z))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) y)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) z)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 z (/.f64 y z))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 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 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))))
(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))))
(*.f64 (/.f64 #s(literal 1/2 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 (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)))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
Calls

6 calls:

17.0ms
x
13.0ms
z
12.0ms
(*.f64 x x)
11.0ms
(*.f64 z z)
11.0ms
y
Results
AccuracySegmentsBranch
96.1%2x
96.2%2y
92.6%1z
92.6%1(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
96.1%2(*.f64 x x)
92.6%1(*.f64 z z)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes20.0ms (0.2%)

Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (/.f64 z (/.f64 y z))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) y)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) z)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))
Calls

3 calls:

7.0ms
y
5.0ms
x
5.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
96.1%2x
96.1%2(*.f64 x x)
95.7%2y
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes18.0ms (0.2%)

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

3 calls:

6.0ms
(*.f64 x x)
5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
95.7%2y
92.6%1x
92.6%1(*.f64 x x)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
95.7%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.3%)

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

6 calls:

13.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
3.0ms
y
3.0ms
z
3.0ms
x
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
93.7%4x
90.3%2z
90.8%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
91.9%3(*.f64 x x)
90.3%2(*.f64 z z)
91.5%3y
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes3.0ms (0%)

Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 y #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (/.f64 z (/.f64 y z))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) y)))
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) y)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
92.1%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

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

4 calls:

3.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
85.4%1y
88.9%2(*.f64 x x)
85.4%1z
88.9%2x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

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

4 calls:

2.0ms
y
2.0ms
x
2.0ms
z
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
36.6%2z
55.7%2y
52.9%2x
52.9%2(*.f64 x x)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
33.7%1z
33.7%1x
33.7%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
15.0ms
3760268530.197779
24792122336867.426
Results
11.0ms128×0valid
Compiler

Compiled 368 to 240 computations (34.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (60.4% of total)
ival-sub: 1.0ms (15.1% of total)
ival-div: 1.0ms (15.1% of total)
ival-add: 1.0ms (15.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
9.006272615810609e+272
4.290461403260323e+275
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch4.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
4.0ms
1.9425265019666905e-7
5.451567775154419e-7
Results
2.0ms32×0valid
Compiler

Compiled 108 to 70 computations (35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (67.1% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
19.0ms
1.6901917018197184e-13
1.9603384228496667e-10
Results
14.0ms128×0valid
Compiler

Compiled 344 to 224 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (50% of total)
ival-mult: 4.0ms (40% of total)
ival-sub: 1.0ms (10% of total)
ival-add: 1.0ms (10% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
8.606734399318996e+233
2.673351188291594e+239
11.0ms
2.462568982154597e+146
1.65536781020081e+147
13.0ms
2.9102757511031887e+66
5.331076025033178e+67
Results
29.0ms352×0valid
Compiler

Compiled 788 to 508 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 11.0ms (63.1% of total)
ival-sub: 2.0ms (11.5% of total)
ival-div: 2.0ms (11.5% of total)
ival-add: 2.0ms (11.5% of total)
const: 1.0ms (5.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
17.0ms
8.606734399318996e+233
2.673351188291594e+239
4.0ms
3.001045253875824e+136
6.550161374546678e+137
Results
15.0ms176×0valid
Compiler

Compiled 370 to 244 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (60.7% of total)
ival-sub: 1.0ms (12.1% of total)
ival-div: 1.0ms (12.1% of total)
ival-add: 1.0ms (12.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.3973303877331884e+145
4.020682634683224e+145
Results
7.0ms80×0valid
Compiler

Compiled 174 to 116 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (67% of total)
ival-div: 1.0ms (22.3% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
9.985793820476666e+71
9.150271191849729e+73
Results
9.0ms112×0valid
Compiler

Compiled 150 to 114 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (50.5% of total)
ival-sub: 1.0ms (16.8% of total)
ival-div: 1.0ms (16.8% of total)
ival-add: 1.0ms (16.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify88.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
207×unsub-neg
206×distribute-lft-neg-in
152×neg-mul-1
151×cancel-sign-sub
132×neg-sub0
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0971154
11541150
22021146
32501146
43071146
54401146
67001146
79631146
812221146
914441146
1015891146
1116521146
1216731146
1316771146
1416771146
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 1500000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))))
(if (<=.f64 (*.f64 x x) #s(literal 999999999999999945402341696592674884578976541955442659132610359825718694242914119314842162820675279649039207299571308833846909191138684972507989282336695782607667040225918275050684065261167516978177354790265605065466066369376850351293060923539046438669680406904714953752576 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))) (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64)))
(if (<=.f64 y #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))))
(if (<=.f64 y #s(literal 5415987671873539/77371252455336267181195264 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))))
(if (<=.f64 x #s(literal 38500000000000001355745731127104747646147076817976235644883163938816 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z (/.f64 z y)))) (if (<=.f64 x #s(literal 249999999999999994499095601414415043591205972366950270193063311242315984807276873106731512355815128492442067103884269367209608076682786598840958976 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 18499999999999999006761592663451259294286515420963932454762661729926932037859154746115076686157264147585840414692149494202952474706601654979055244056814083833306303294206038998324774727059957076943157254636454517710636686370993149575168 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) y))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 x #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z (/.f64 z y)))) (if (<=.f64 x #s(literal 31000000000000001218896487818800060567440529168156377788000821658396279967228619852115051088280673232286901222343827951708670824188798847132083446944447827978531358781720284714213221214291932689789862710049422794343715843985264712693579776 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) y))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z (/.f64 z y)))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 y #s(literal 1649999999999999995544731219386240431135208576741717353487177859668639744 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
Outputs
(if (<=.f64 y #s(literal 1500000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))))
(if (<=.f64 y #s(literal 1500000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))) (*.f64 z (/.f64 z y)))))
(if (<=.f64 y #s(literal 1500000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 y (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))) (*.f64 z (/.f64 z y)))))
(if (<=.f64 y #s(literal 1500000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) x)))) (*.f64 z (/.f64 z y)))))
(if (<=.f64 (*.f64 x x) #s(literal 999999999999999945402341696592674884578976541955442659132610359825718694242914119314842162820675279649039207299571308833846909191138684972507989282336695782607667040225918275050684065261167516978177354790265605065466066369376850351293060923539046438669680406904714953752576 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))) (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 999999999999999945402341696592674884578976541955442659132610359825718694242914119314842162820675279649039207299571308833846909191138684972507989282336695782607667040225918275050684065261167516978177354790265605065466066369376850351293060923539046438669680406904714953752576 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 x (/.f64 x y))) (*.f64 z (/.f64 z y)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y)))
(if (<=.f64 y #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))))
(if (<=.f64 y #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))) (*.f64 z (/.f64 z y)))))
(if (<=.f64 y #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 y (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) x))) (*.f64 z (/.f64 z y)))))
(if (<=.f64 y #s(literal 5415987671873539/77371252455336267181195264 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y)))))
(if (<=.f64 y #s(literal 5415987671873539/77371252455336267181195264 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (*.f64 x (/.f64 x y))) (*.f64 z (/.f64 z y)))))
(if (<=.f64 x #s(literal 38500000000000001355745731127104747646147076817976235644883163938816 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z (/.f64 z y)))) (if (<=.f64 x #s(literal 249999999999999994499095601414415043591205972366950270193063311242315984807276873106731512355815128492442067103884269367209608076682786598840958976 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 18499999999999999006761592663451259294286515420963932454762661729926932037859154746115076686157264147585840414692149494202952474706601654979055244056814083833306303294206038998324774727059957076943157254636454517710636686370993149575168 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) y))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 x #s(literal 38500000000000001355745731127104747646147076817976235644883163938816 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z (/.f64 z y)))) (if (<=.f64 x #s(literal 249999999999999994499095601414415043591205972366950270193063311242315984807276873106731512355815128492442067103884269367209608076682786598840958976 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 18499999999999999006761592663451259294286515420963932454762661729926932037859154746115076686157264147585840414692149494202952474706601654979055244056814083833306303294206038998324774727059957076943157254636454517710636686370993149575168 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 x (/.f64 y x))) (/.f64 (*.f64 z z) y))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 x #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z (/.f64 z y)))) (if (<=.f64 x #s(literal 31000000000000001218896487818800060567440529168156377788000821658396279967228619852115051088280673232286901222343827951708670824188798847132083446944447827978531358781720284714213221214291932689789862710049422794343715843985264712693579776 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) y))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z (/.f64 z y)))) (if (<=.f64 x #s(literal 31000000000000001218896487818800060567440529168156377788000821658396279967228619852115051088280673232286901222343827951708670824188798847132083446944447827978531358781720284714213221214291932689789862710049422794343715843985264712693579776 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 x (/.f64 y x))) (/.f64 (*.f64 z z) y))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z (/.f64 z y)))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 y #s(literal 1649999999999999995544731219386240431135208576741717353487177859668639744 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))

soundness1.8s (17.8%)

Rules
684×div-sub
681×fma-neg
578×sub-neg
550×fma-neg
529×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047708
1920644
067028041
1158226092
2693126050
039432
1676392
0110335365
1272331083
040643
1700568
047672
1164660
2533660
32454660
47758660
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1494 to 473 computations (68.3% saved)

preprocess102.0ms (1%)

Remove

(abs z)

(abs x)

Compiler

Compiled 954 to 388 computations (59.3% saved)

end0.0ms (0%)

Profiling

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