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

Time bar (total: 10.8s)

analyze49.0ms (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 17 to 13 computations (23.5% saved)

sample1.3s (12.3%)

Results
912.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 549.0ms
ival-mult: 396.0ms (72.1% of total)
ival-div: 63.0ms (11.5% of total)
ival-sub: 38.0ms (6.9% of total)
ival-add: 38.0ms (6.9% of total)
ival-true: 7.0ms (1.3% of total)
ival-assert: 5.0ms (0.9% of total)
...in/eval/compile.rkt:70:19: 3.0ms (0.5% of total)
Bogosity

preprocess108.0ms (1%)

Algorithm
1×egg-herbie
Rules
684×div-sub
578×sub-neg
550×fmm-def
425×associate-/l*
376×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)

explain483.0ms (4.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
690-1(1.5953987488815763e-155 8.588737083145038e-250 1.5884679684962136e-213)(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
300-0-(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-z
00-0-(*.f64 x x)
00-0-(*.f64 y #s(literal 2 binary64))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 z z)
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))o/n660
↳(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))overflow153
↳(*.f64 y y)overflow67
↳(*.f64 x x)overflow69
↳(+.f64 (*.f64 x x) (*.f64 y y))overflow117
↳(*.f64 z z)overflow66
-.f64(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))nan-rescue300
↳(*.f64 y y)overflow67
↳(*.f64 x x)overflow69
↳(+.f64 (*.f64 x x) (*.f64 y y))overflow117
↳(*.f64 z z)overflow66
/.f64(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))u/n20
↳(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))underflow2
↳(*.f64 y y)underflow59
↳(*.f64 x x)underflow66
↳(+.f64 (*.f64 x x) (*.f64 y y))underflow16
↳(*.f64 z z)underflow54
Confusion
Predicted +Predicted -
+861
-0169
Precision
1.0
Recall
0.9885057471264368
Confusion?
Predicted +Predicted MaybePredicted -
+8601
-00169
Precision?
1.0
Recall?
0.9885057471264368
Freqs
test
numberfreq
0170
174
212
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
401.0ms512×0valid
Compiler

Compiled 138 to 48 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 15.0ms (63.1% of total)
ival-div: 4.0ms (16.8% of total)
ival-sub: 2.0ms (8.4% of total)
ival-add: 2.0ms (8.4% of total)
ival-true: 1.0ms (4.2% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 45 to 17 computations (62.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶67.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶70.6%
(*.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)

simplify66.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 8 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))
Rules
616×fmm-def
443×distribute-lft-in
411×associate-+l-
403×distribute-rgt-in
376×unsub-neg
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
023423
149423
2101423
3252423
4689423
51833414
64026396
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)

localize59.0ms (0.5%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
✓accuracy89.5%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
✓accuracy75.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
✓accuracy97.3%
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
✓accuracy94.8%
(-.f64 (*.f64 y y) (*.f64 z z))
✓accuracy75.3%
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
Results
38.0ms256×0valid
Compiler

Compiled 104 to 18 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 10.0ms (51.4% of total)
ival-div: 3.0ms (15.4% of total)
ival-fma: 3.0ms (15.4% of total)
ival-sub: 2.0ms (10.3% of total)
ival-add: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.3%)

Counts
11 → 276
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))>
#<alt (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)>
#<alt (-.f64 (*.f64 y y) (*.f64 z z))>
#<alt (*.f64 y y)>
#<alt (*.f64 x x)>
#<alt (*.f64 z z)>
#<alt (*.f64 y #s(literal 2 binary64))>
#<alt (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))>
#<alt (+.f64 (*.f64 x x) (*.f64 y y))>
Outputs
#<alt (*.f64 #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))))>
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#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
Calls

69 calls:

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

rewrite468.0ms (4.3%)

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
023323
1353293
25104293
Stop Event
1×node limit
Counts
11 → 370
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
(*.f64 x x)
(*.f64 z z)
(*.f64 y #s(literal 2 binary64))
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
Outputs
(+.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(-.f64 (*.f64 (pow.f64 (hypot.f64 x y) #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 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #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 (*.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.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))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (*.f64 y #s(literal 2 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))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 (*.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal -2 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #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))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (*.f64 (*.f64 (pow.f64 z #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 (*.f64 (pow.f64 (hypot.f64 x y) #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 (-.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 (pow.f64 z #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 (*.f64 (pow.f64 (hypot.f64 x y) #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 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (*.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 1/2 binary64) y)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.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 1/2 binary64) y)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.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 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
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(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

simplify343.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
991×fmm-def
475×associate-*r*
415×associate-*l*
325×times-frac
256×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073330256
1172328132
2767728090
Stop Event
1×node limit
Counts
646 → 462
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 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 (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))))
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(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 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 #s(literal 1/2 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)) (fma.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) 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)) (fma.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) 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)) (fma.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) 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 #s(literal 1/2 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)) (fma.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) 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)) (fma.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) 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)) (fma.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) 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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.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 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.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 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 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))))))
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(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
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(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
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(sqrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
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(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
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(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

eval61.0ms (0.6%)

Compiler

Compiled 10089 to 1737 computations (82.8% saved)

prune182.0ms (1.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New47415489
Fresh000
Picked112
Done000
Total47516491
Accuracy
95.0%
Counts
491 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.0%
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
67.7%
(/.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)))
▶67.4%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
✓67.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
50.6%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
57.4%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
▶55.2%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))) (*.f64 y #s(literal 2 binary64)))
64.5%
(/.f64 (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
67.8%
(/.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)))))
28.6%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
31.7%
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
53.2%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
▶44.4%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y))
▶72.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y))
63.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
▶37.0%
(*.f64 #s(literal 1/2 binary64) y)
Compiler

Compiled 524 to 353 computations (32.6% saved)

simplify57.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 y y)
✓cost-diff6656
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
✓cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(pow.f64 z #s(literal 6 binary64))
✓cost-diff0
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
cost-diff0
(*.f64 y y)
✓cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff0
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
✓cost-diff6336
(/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y)
✓cost-diff6336
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(+.f64 y z)
✓cost-diff0
(-.f64 y z)
✓cost-diff64
(/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y)
✓cost-diff64
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y))
Rules
701×distribute-lft-in
626×fma-define
585×associate-+l-
574×distribute-rgt-in
453×div-sub
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
039766
189754
2215754
3518754
41341754
53839732
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y)
(fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z)))
x
(*.f64 (-.f64 y z) (+.f64 y z))
(-.f64 y z)
y
z
(+.f64 y z)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y)
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
y
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64))))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(pow.f64 z #s(literal 6 binary64))
z
#s(literal 6 binary64)
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 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 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (*.f64 z z)) y))
(*.f64 (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 y z) (+.f64 y z) (pow.f64 x #s(literal 2 binary64))) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z z)) y)))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y)
(/.f64 (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (*.f64 z z)) y)
(/.f64 (fma.f64 (-.f64 y z) (+.f64 y z) (pow.f64 x #s(literal 2 binary64))) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z z)) y))
(fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z)))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (*.f64 z z))
(fma.f64 (-.f64 y z) (+.f64 y z) (pow.f64 x #s(literal 2 binary64)))
x
(*.f64 (-.f64 y z) (+.f64 y z))
(-.f64 (*.f64 y y) (*.f64 z z))
(fma.f64 z (neg.f64 z) (*.f64 y y))
(-.f64 y z)
y
z
(+.f64 y z)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y))
(*.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) y)))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y)
(-.f64 y (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) y))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
y
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64))))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))) y)) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 6 binary64))))
(fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))))
(+.f64 (*.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
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(pow.f64 z #s(literal 6 binary64))
z
#s(literal 6 binary64)
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 y z) (+.f64 y z) (pow.f64 x #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (*.f64 z z)) y) #s(literal 2 binary64))
(/.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z z)) y)) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z)))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (*.f64 z z))
(fma.f64 (-.f64 y z) (+.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.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)
z
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 y #s(literal 2 binary64))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

localize143.0ms (1.3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
✓accuracy99.0%
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
accuracy89.5%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
✓accuracy75.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
accuracy100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
✓accuracy89.5%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64))))
✓accuracy75.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))) (*.f64 y #s(literal 2 binary64)))
✓accuracy68.9%
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
✓accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y))
✓accuracy100.0%
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
✓accuracy70.6%
(/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(*.f64 (-.f64 y z) (+.f64 y z))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y))
✓accuracy97.3%
(fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z)))
✓accuracy75.3%
(/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y)
Results
99.0ms256×0valid
Compiler

Compiled 210 to 33 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 17.0ms (27.2% of total)
ival-sub: 17.0ms (27.2% of total)
ival-div: 9.0ms (14.4% of total)
ival-pow: 8.0ms (12.8% of total)
ival-fma: 5.0ms (8% of total)
ival-cbrt: 3.0ms (4.8% of total)
ival-add: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series60.0ms (0.6%)

Counts
18 → 387
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y))>
#<alt (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y)>
#<alt (-.f64 y z)>
#<alt (+.f64 y z)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y))>
#<alt (/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y)>
#<alt (fma.f64 y y (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))>
#<alt (pow.f64 z #s(literal 6 binary64))>
#<alt (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z)))>
#<alt (*.f64 (-.f64 y z) (+.f64 y z))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))) (*.f64 y #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64))))>
#<alt (cbrt.f64 (*.f64 y #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) 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 (+.f64 y z) (-.f64 y z)) 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 (+.f64 y z) (-.f64 y z)) 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 (+.f64 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.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 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.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 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.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 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.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 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.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 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #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 -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #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 -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #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 -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #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 -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #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 -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #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 -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #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)))>
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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))))>
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#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -2 binary64))))>
Calls

108 calls:

TimeVariablePointExpression
5.0ms
y
@inf
(cbrt (* y 2))
3.0ms
y
@0
(pow (cbrt (* y 2)) 3)
3.0ms
y
@-inf
(/ (+ (* y y) (pow x 2)) y)
2.0ms
z
@-inf
(+ y z)
2.0ms
x
@inf
(/ (- (+ (* x x) (* y y)) (* z z)) (pow (cbrt (* y 2)) 3))

rewrite159.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
275×log1p-expm1-u
275×expm1-log1p-u
256×add-cube-cbrt
253×add-exp-log
253×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039545
1635454
Stop Event
1×node limit
Counts
18 → 577
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y))
(/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y)
(-.f64 y z)
(+.f64 y z)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y))
(/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y)
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(pow.f64 z #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z)))
(*.f64 (-.f64 y z) (+.f64 y z))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64))))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) (neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))) #s(literal 1 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 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.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))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (*.f64 y #s(literal 2 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))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 (*.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #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 (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)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 y)))
(pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #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 (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 (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 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.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 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify428.0ms (4%)

Algorithm
1×egg-herbie
Rules
646×fma-define
324×distribute-lft-in
302×distribute-rgt-in
289×*-commutative
193×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0131843981
1343240142
Stop Event
1×node limit
Counts
964 → 819
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 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 (+.f64 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.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 (+.f64 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.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 (+.f64 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.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 (+.f64 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.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 (+.f64 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.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 (+.f64 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) y))
(/.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 -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #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)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #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)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y))))
(*.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 -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.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 -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #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 z (*.f64 #s(literal -1 binary64) z)) y)) #s(literal 1/2 binary64))))
(*.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 -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) y))) y)) #s(literal 1/2 binary64))))
(*.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 -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) y))) y)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 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 (*.f64 (+.f64 y z) (-.f64 y z)) y)
(+.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (*.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 (+.f64 y z) (-.f64 y z)) (*.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 (+.f64 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (*.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 (+.f64 y z) (-.f64 y z)) (*.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 (+.f64 y z) (-.f64 y z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))) (pow.f64 x #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 y (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z)))) (pow.f64 x #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 y (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z)))) (pow.f64 x #s(literal 2 binary64)))) y)
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(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (fma.f64 (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 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (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 (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y z) y)) (*.f64 (-.f64 y z) z))
(+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (-.f64 y z))) (*.f64 z (-.f64 y z)))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #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 (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 (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 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.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 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
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(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 z z (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 (hypot.f64 y x) #s(literal 4 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 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 (-.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 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 x x (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #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)))))
(/.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 (hypot.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z (pow.f64 (hypot.f64 y x) #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))
(fma.f64 (+.f64 y z) (-.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #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 3 binary64))
(fma.f64 (+.f64 y z) (-.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 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))
(fma.f64 (+.f64 y z) (-.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 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))
(fma.f64 (+.f64 y z) (-.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #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)))
(fabs.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #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)))))
(fma.f64 (+.f64 y z) (-.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #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))))))
(fma.f64 (+.f64 y z) (-.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 (+.f64 y z) (-.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (+.f64 y z) (-.f64 y z) (pow.f64 x #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 (+.f64 y z) (-.f64 y z) (pow.f64 x #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 (+.f64 y z) (-.f64 y z) (pow.f64 x #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))))
(fma.f64 (+.f64 y z) (-.f64 y z) (pow.f64 x #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 (+.f64 y z) (-.f64 y z) (pow.f64 x #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 (+.f64 y z) (-.f64 y z) (pow.f64 x #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 (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 (+.f64 y z) (-.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #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 (+.f64 y z) (-.f64 y z) (pow.f64 x #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 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))

eval221.0ms (2%)

Compiler

Compiled 19831 to 3523 computations (82.2% saved)

prune141.0ms (1.3%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New96811979
Fresh8210
Picked325
Done011
Total97916995
Accuracy
100.0%
Counts
995 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.2%
(pow.f64 (*.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
36.3%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
28.6%
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
✓67.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
✓55.2%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))) (*.f64 y #s(literal 2 binary64)))
▶44.3%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
67.8%
(/.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)))))
53.2%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
▶64.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64)))
50.4%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))
▶59.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
64.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (hypot.f64 x y) #s(literal 1 binary64)) (/.f64 (hypot.f64 x y) y)))
▶71.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
▶79.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64)))))
✓37.0%
(*.f64 #s(literal 1/2 binary64) y)
34.1%
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 391 to 281 computations (28.1% saved)

simplify125.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(hypot.f64 y x)
✓cost-diff0
(/.f64 (hypot.f64 y x) (sqrt.f64 y))
✓cost-diff6400
(pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64))
✓cost-diff6400
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64)))
✓cost-diff0
(hypot.f64 x y)
✓cost-diff0
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
✓cost-diff0
(/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
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-diff64
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
✓cost-diff0
(/.f64 (-.f64 y z) y)
cost-diff0
(+.f64 y z)
✓cost-diff0
(*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
✓cost-diff64
(+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64))
✓cost-diff128
(neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64)))
✓cost-diff384
(*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64))))
✓cost-diff384
(*.f64 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64)))))
Rules
629×div-sub
585×fmm-def
326×times-frac
276×distribute-lft-neg-in
224×distribute-rgt-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040872
198851
2287831
3993795
43787791
57239791
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64))))
y
(neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64)))
(+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y)
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(neg.f64 y)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
#s(literal 1/2 binary64)
(*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))
(+.f64 y z)
y
z
(/.f64 (-.f64 y z) y)
(-.f64 y z)
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
#s(literal 1/2 binary64)
(+.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 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
y
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(hypot.f64 x y)
x
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 (hypot.f64 y x) (sqrt.f64 y))
(hypot.f64 y x)
y
x
(sqrt.f64 y)
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (neg.f64 y)))) #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))) (*.f64 y (neg.f64 y)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y y)) 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)))
#s(literal 1/2 binary64)
(*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64))))
(*.f64 y (+.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (neg.f64 y)))) #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (neg.f64 y)))))
(fma.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y y)) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
y
(neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64)))
(+.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (neg.f64 y)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (neg.f64 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y y)))
(+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64))
(+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (neg.f64 y))) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y y)))
(+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y)
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 y y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y)
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(neg.f64 y)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(literal 1/2 binary64)
(*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))
(*.f64 (+.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 y z)
y
z
(/.f64 (-.f64 y z) y)
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(-.f64 y z)
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
#s(literal 1/2 binary64)
(+.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 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) y))
#s(literal 1/2 binary64)
(/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(/.f64 y (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
y
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(hypot.f64 x y)
(hypot.f64 y x)
x
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) y))
#s(literal 1/2 binary64)
(pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) y)
(/.f64 (hypot.f64 y x) (sqrt.f64 y))
(hypot.f64 y x)
(hypot.f64 x y)
y
x
(sqrt.f64 y)
#s(literal 2 binary64)

localize296.0ms (2.7%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 y)
✓accuracy99.4%
(pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64))
✓accuracy99.4%
(/.f64 (hypot.f64 y x) (sqrt.f64 y))
✓accuracy100.0%
(hypot.f64 x y)
✓accuracy100.0%
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
✓accuracy70.3%
(/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
✓accuracy87.4%
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
accuracy100.0%
(+.f64 y z)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
✓accuracy100.0%
(/.f64 (-.f64 y z) y)
✓accuracy99.9%
(*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))
✓accuracy97.0%
(*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64))))
✓accuracy94.3%
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓accuracy94.0%
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y)
✓accuracy86.5%
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))
Results
103.0ms256×0valid
Compiler

Compiled 233 to 35 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 24.0ms (38% of total)
ival-div: 11.0ms (17.4% of total)
ival-pow: 10.0ms (15.8% of total)
ival-hypot: 7.0ms (11.1% of total)
ival-add: 3.0ms (4.7% of total)
ival-sub: 3.0ms (4.7% of total)
ival-sqrt: 2.0ms (3.2% of total)
ival-neg: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series352.0ms (3.3%)

Counts
22 → 550
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64)))))>
#<alt (*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64))))>
#<alt (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64)))>
#<alt (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))>
#<alt (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))>
#<alt (/.f64 (-.f64 y z) y)>
#<alt (*.f64 #s(literal 1/2 binary64) (+.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 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))>
#<alt (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))>
#<alt (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))>
#<alt (hypot.f64 x y)>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64)))>
#<alt (pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64))>
#<alt (/.f64 (hypot.f64 y x) (sqrt.f64 y))>
#<alt (hypot.f64 y x)>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))>
#<alt (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y)>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (sqrt.f64 y)>
Outputs
#<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 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
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#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #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) (pow.f64 x #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) (pow.f64 x #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 (pow.f64 x #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 (pow.f64 x #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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 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) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 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 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 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 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 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 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 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)) 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 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<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 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (pow.f64 y #s(literal 5 binary64))))) (*.f64 x (sqrt.f64 y))) y)>
#<alt (/.f64 (+.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))) y)>
#<alt (/.f64 (+.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 y)))))))) y)>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 13 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 11 binary64)))))))))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 7 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (pow.f64 y #s(literal 11 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

147 calls:

TimeVariablePointExpression
274.0ms
y
@inf
(/ y (pow (sqrt (+ (* x x) (* y y))) 2))
7.0ms
z
@inf
(* 1/2 (* (+ y z) (/ (- y z) y)))
6.0ms
z
@inf
(/ (/ (- (pow x 2) (pow z 2)) (neg y)) y)
4.0ms
y
@0
(neg (+ (/ (/ (- (pow x 2) (pow z 2)) (neg y)) y) -1))
1.0ms
y
@-inf
(* 1/2 (pow (/ (sqrt (+ (* y y) (* x x))) (sqrt y)) 2))

rewrite272.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
340×log1p-expm1-u
340×expm1-log1p-u
335×add-cube-cbrt
334×add-log-exp
333×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040762
1731690
Stop Event
1×node limit
Counts
22 → 449
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64)))))
(*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64))))
(neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64)))
(+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
(*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))
(/.f64 (-.f64 y z) y)
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(hypot.f64 x y)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 (hypot.f64 y x) (sqrt.f64 y))
(hypot.f64 y x)
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y)
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))
(pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))))
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(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(pow.f64 (/.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 (-.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 (-.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 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 #s(literal -1 binary64) 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 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 2 binary64))
(pow.f64 (/.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #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 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #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)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))

simplify707.0ms (6.5%)

Algorithm
1×egg-herbie
Rules
546×fma-define
407×distribute-rgt-in
402×distribute-lft-in
378×times-frac
312×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0135344957
1329942839
Stop Event
1×node limit
Counts
999 → 895
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #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 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #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)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
Outputs
(*.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)) (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 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #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 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #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 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 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 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
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(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #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)))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #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)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 x x (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 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)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 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)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(sqrt.f64 y)
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(sqrt.f64 y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(sqrt.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(sqrt.f64 y)
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(sqrt.f64 y)
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(sqrt.f64 y)
(log.f64 (exp.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(sqrt.f64 y)
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(exp.f64 (log.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(sqrt.f64 y)

eval317.0ms (2.9%)

Compiler

Compiled 18410 to 4048 computations (78% saved)

prune192.0ms (1.8%)

Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New95812970
Fresh448
Picked325
Done123
Total96620986
Accuracy
100.0%
Counts
986 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.3%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
✓55.2%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))) (*.f64 y #s(literal 2 binary64)))
28.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
▶36.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
44.3%
(/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (hypot.f64 x y) #s(literal -2 binary64))))
53.2%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
✓64.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #s(literal 2 binary64)))
29.9%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
▶64.8%
(*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y))))
48.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z)) (/.f64 y (-.f64 y z))))
▶50.4%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))
59.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y)))
53.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) y)))
✓71.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
35.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (neg.f64 z) y)))
▶71.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))))
36.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y z) y)))
62.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal -1 binary64)))))
✓37.0%
(*.f64 #s(literal 1/2 binary64) y)
34.1%
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 466 to 335 computations (28.1% saved)

simplify60.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y (hypot.f64 x y))
cost-diff0
(hypot.f64 x y)
✓cost-diff6400
(/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y)))
✓cost-diff6400
(*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))
✓cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
cost-diff0
(+.f64 y z)
✓cost-diff0
(*.f64 (+.f64 y z) (-.f64 y z))
✓cost-diff128
(/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y)
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(+.f64 y z)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))
✓cost-diff256
(*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z))))
✓cost-diff256
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))))
Rules
871×fma-define
864×unsub-neg
504×times-frac
330×associate-*r/
259×distribute-lft-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031544
166520
2157491
3611491
42221483
56450467
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))))
#s(literal 1/2 binary64)
(*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z))))
(+.f64 y z)
y
z
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))
#s(literal 1 binary64)
(/.f64 y (-.f64 y z))
(-.f64 y z)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y)
(*.f64 (+.f64 y z) (-.f64 y z))
(+.f64 y z)
y
z
(-.f64 y z)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(literal 3 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y))))
#s(literal 1/2 binary64)
(/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y)))
(hypot.f64 x y)
x
y
(/.f64 y (hypot.f64 x y))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 y z) y) (-.f64 y z)))
(*.f64 (+.f64 y z) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (+.f64 y z) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(*.f64 (+.f64 y z) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)))
#s(literal 1/2 binary64)
(*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z))))
(*.f64 (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y z)))
(*.f64 (/.f64 (+.f64 y z) y) (-.f64 y z))
(*.f64 (+.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(-.f64 y (/.f64 (*.f64 z z) y))
(+.f64 y z)
y
z
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y z))
(*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
#s(literal 1 binary64)
(/.f64 y (-.f64 y z))
(-.f64 y z)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 y z) y) (-.f64 y z)))
(*.f64 (+.f64 y z) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (+.f64 y z) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(*.f64 (+.f64 y z) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y)
(*.f64 (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y z)))
(*.f64 (/.f64 (+.f64 y z) y) (-.f64 y z))
(*.f64 (+.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(-.f64 y (/.f64 (*.f64 z z) y))
(*.f64 (+.f64 y z) (-.f64 y z))
(-.f64 (*.f64 y y) (*.f64 z z))
(+.f64 y z)
y
z
(-.f64 y z)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(literal 3 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (hypot.f64 x y) y) (hypot.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) y))
#s(literal 1/2 binary64)
(/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y)))
(*.f64 (/.f64 (hypot.f64 x y) y) (hypot.f64 x y))
(/.f64 (fma.f64 y y (*.f64 x x)) y)
(hypot.f64 x y)
(hypot.f64 y x)
x
y
(/.f64 y (hypot.f64 x y))
(/.f64 y (hypot.f64 y x))

localize173.0ms (1.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 x y)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y))))
✓accuracy100.0%
(/.f64 y (hypot.f64 x y))
✓accuracy99.9%
(/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) y)
✓accuracy99.2%
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))
✓accuracy98.9%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
accuracy100.0%
(+.f64 y z)
✓accuracy100.0%
(*.f64 (+.f64 y z) (-.f64 y z))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))
✓accuracy70.1%
(/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
accuracy100.0%
(+.f64 y z)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))))
✓accuracy99.9%
(*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))
Results
138.0ms256×0valid
Compiler

Compiled 142 to 26 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-div: 87.0ms (80.7% of total)
ival-mult: 9.0ms (8.4% of total)
ival-hypot: 4.0ms (3.7% of total)
ival-pow: 3.0ms (2.8% of total)
ival-add: 2.0ms (1.9% of total)
ival-cbrt: 2.0ms (1.9% of total)
ival-sub: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series27.0ms (0.2%)

Counts
13 → 252
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))))>
#<alt (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))>
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))>
#<alt (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y)>
#<alt (*.f64 (+.f64 y z) (-.f64 y z))>
#<alt (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y))))>
#<alt (/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y)))>
#<alt (/.f64 y (hypot.f64 x y))>
Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 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) (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 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 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 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)))))>
#<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 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.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 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 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) y))>
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#<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 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
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#<alt (+.f64 (*.f64 #s(literal 1/2 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) 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 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 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 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 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 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 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))>
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#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
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#<alt y>
#<alt (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
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#<alt (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
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#<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)>
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#<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 #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 (/.f64 y x)>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
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#<alt #s(literal 1 binary64)>
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#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (/.f64 y x)>
#<alt (/.f64 (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))))) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))))) x))>
Calls

66 calls:

TimeVariablePointExpression
3.0ms
y
@0
(pow (cbrt (* 1/2 y)) 3)
2.0ms
y
@-inf
(pow (cbrt (* 1/2 y)) 3)
2.0ms
y
@0
(* 1/2 (/ (sqrt (+ (* x x) (* y y))) (/ y (sqrt (+ (* x x) (* y y))))))
1.0ms
x
@inf
(/ y (sqrt (+ (* x x) (* y y))))
1.0ms
y
@0
(/ y (sqrt (+ (* x x) (* y y))))

rewrite322.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
738×prod-diff
207×log1p-expm1-u
207×add-cube-cbrt
207×expm1-log1p-u
206×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031383
1500323
26941323
Stop Event
1×node limit
Counts
13 → 560
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))))
(*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))
(/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y)
(*.f64 (+.f64 y z) (-.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y))))
(/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y)))
(/.f64 y (hypot.f64 x y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
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(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (hypot.f64 x y) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) y))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 x y)) (/.f64 y (hypot.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 x y)) (/.f64 (hypot.f64 x y) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(*.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 y (hypot.f64 x y))))
(*.f64 (sqrt.f64 (hypot.f64 x y)) (*.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 (hypot.f64 x y) y)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(*.f64 (neg.f64 (hypot.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (hypot.f64 x y))))
(*.f64 (/.f64 (hypot.f64 x y) y) (hypot.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64))) (/.f64 (hypot.f64 x y) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (hypot.f64 x y)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 y (hypot.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (hypot.f64 x y)) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 x y)) (/.f64 y (hypot.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (hypot.f64 x y)))) (/.f64 (cbrt.f64 (hypot.f64 x y)) (sqrt.f64 (/.f64 y (hypot.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 x y)) y) (/.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 y (hypot.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 x y)) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))
(*.f64 (/.f64 (hypot.f64 x y) #s(literal 1 binary64)) (/.f64 (hypot.f64 x y) y))
(*.f64 (*.f64 (/.f64 (hypot.f64 x y) y) #s(literal 1 binary64)) (hypot.f64 x y))
(*.f64 (*.f64 (/.f64 (hypot.f64 x y) y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 x y)))
(*.f64 (*.f64 (/.f64 (hypot.f64 x y) y) (sqrt.f64 (hypot.f64 x y))) (sqrt.f64 (hypot.f64 x y)))
(*.f64 (/.f64 (hypot.f64 x y) (neg.f64 y)) (neg.f64 (hypot.f64 x y)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 x y) (/.f64 (neg.f64 y) (hypot.f64 x y))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 x y)) (/.f64 y (hypot.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 y (hypot.f64 x y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (hypot.f64 x y)))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (hypot.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 y (hypot.f64 x y)))
(*.f64 (/.f64 y (hypot.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (hypot.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (hypot.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 y (hypot.f64 x y))) (sqrt.f64 (/.f64 y (hypot.f64 x y))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (hypot.f64 x y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (hypot.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (hypot.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x y))) (/.f64 y (sqrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))))
(pow.f64 (/.f64 y (hypot.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (hypot.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 x y) y) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 y) (hypot.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 y (hypot.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (hypot.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (hypot.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 y (hypot.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (hypot.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 y (hypot.f64 x y))))
(exp.f64 (log.f64 (/.f64 y (hypot.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (hypot.f64 x y))) #s(literal 1 binary64)))

simplify397.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
514×fma-define
469×times-frac
387×distribute-lft-in
375×distribute-rgt-in
300×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0127734451
1326728126
Stop Event
1×node limit
Counts
812 → 791
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 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)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 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)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)))))
(*.f64 #s(literal 1/2 binary64) y)
(*.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))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) 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 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 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 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 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 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 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))))) y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y)))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) y)) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #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 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.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 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) z)) y)
(/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) z)) y)
(/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) z)) y)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
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#s(literal 1 binary64)
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(/.f64 y x)
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(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) y))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(/.f64 (cbrt.f64 #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) y)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (hypot.f64 x y)) (*.f64 #s(literal 1/2 binary64) (hypot.f64 x y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 x y)) (/.f64 y (hypot.f64 x y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 x y))) (/.f64 (neg.f64 y) (hypot.f64 x y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (hypot.f64 x y))) (/.f64 (neg.f64 y) (hypot.f64 x y)))
(/.f64 (*.f64 (neg.f64 (hypot.f64 x y)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) (hypot.f64 x y)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 x y)) y) (/.f64 #s(literal 1 binary64) (hypot.f64 x y)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 x y)) #s(literal 1 binary64)) (/.f64 y (hypot.f64 x y)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 x y)) (sqrt.f64 (/.f64 y (hypot.f64 x y)))) (sqrt.f64 (/.f64 y (hypot.f64 x y))))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (hypot.f64 x y) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) y))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 x y)) (/.f64 y (hypot.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 x y)) (/.f64 (hypot.f64 x y) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(*.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 y (hypot.f64 x y))))
(*.f64 (sqrt.f64 (hypot.f64 x y)) (*.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 (hypot.f64 x y) y)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(*.f64 (neg.f64 (hypot.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (hypot.f64 x y))))
(*.f64 (/.f64 (hypot.f64 x y) y) (hypot.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64))) (/.f64 (hypot.f64 x y) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (hypot.f64 x y)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 y (hypot.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (hypot.f64 x y)) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 x y)) (/.f64 y (hypot.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (hypot.f64 x y)))) (/.f64 (cbrt.f64 (hypot.f64 x y)) (sqrt.f64 (/.f64 y (hypot.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 x y)) y) (/.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 y (hypot.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 x y)) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))
(*.f64 (/.f64 (hypot.f64 x y) #s(literal 1 binary64)) (/.f64 (hypot.f64 x y) y))
(*.f64 (*.f64 (/.f64 (hypot.f64 x y) y) #s(literal 1 binary64)) (hypot.f64 x y))
(*.f64 (*.f64 (/.f64 (hypot.f64 x y) y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 x y)))
(*.f64 (*.f64 (/.f64 (hypot.f64 x y) y) (sqrt.f64 (hypot.f64 x y))) (sqrt.f64 (hypot.f64 x y)))
(*.f64 (/.f64 (hypot.f64 x y) (neg.f64 y)) (neg.f64 (hypot.f64 x y)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 x y) (/.f64 (neg.f64 y) (hypot.f64 x y))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 x y)) (/.f64 y (hypot.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 y (hypot.f64 x y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (hypot.f64 x y)))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (hypot.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 y (hypot.f64 x y)))
(*.f64 (/.f64 y (hypot.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (hypot.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (hypot.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 y (hypot.f64 x y))) (sqrt.f64 (/.f64 y (hypot.f64 x y))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (hypot.f64 x y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (hypot.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (hypot.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x y))) (/.f64 y (sqrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))))
(pow.f64 (/.f64 y (hypot.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (hypot.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 x y) y) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 y) (hypot.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 y (hypot.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (hypot.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (hypot.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 y (hypot.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (hypot.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 y (hypot.f64 x y))))
(exp.f64 (log.f64 (/.f64 y (hypot.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (hypot.f64 x y))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 #s(literal 0 binary64) z)))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 0 binary64)) y)
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(/.f64 y (hypot.f64 x y))
(/.f64 y (hypot.f64 y x))
(pow.f64 (sqrt.f64 (/.f64 y (hypot.f64 x y))) #s(literal 2 binary64))
(/.f64 y (hypot.f64 x y))
(/.f64 y (hypot.f64 y x))
(pow.f64 (/.f64 (hypot.f64 x y) y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 x y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y x) y))
(neg.f64 (/.f64 (neg.f64 y) (hypot.f64 x y)))
(/.f64 y (hypot.f64 x y))
(/.f64 y (hypot.f64 y x))
(sqrt.f64 (pow.f64 (/.f64 y (hypot.f64 x y)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y (hypot.f64 y x)))
(log.f64 (exp.f64 (/.f64 y (hypot.f64 x y))))
(/.f64 y (hypot.f64 x y))
(/.f64 y (hypot.f64 y x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (hypot.f64 x y)))))
(/.f64 y (hypot.f64 x y))
(/.f64 y (hypot.f64 y x))
(cbrt.f64 (pow.f64 (/.f64 y (hypot.f64 x y)) #s(literal 3 binary64)))
(/.f64 y (hypot.f64 x y))
(/.f64 y (hypot.f64 y x))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 3 binary64))))
(/.f64 y (hypot.f64 x y))
(/.f64 y (hypot.f64 y x))
(expm1.f64 (log1p.f64 (/.f64 y (hypot.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 y (hypot.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 y (hypot.f64 x y))))
(/.f64 y (hypot.f64 x y))
(/.f64 y (hypot.f64 y x))
(exp.f64 (log.f64 (/.f64 y (hypot.f64 x y))))
(/.f64 y (hypot.f64 x y))
(/.f64 y (hypot.f64 y x))
(exp.f64 (*.f64 (log.f64 (/.f64 y (hypot.f64 x y))) #s(literal 1 binary64)))
(/.f64 y (hypot.f64 x y))
(/.f64 y (hypot.f64 y x))

eval438.0ms (4.1%)

Compiler

Compiled 20040 to 3631 computations (81.9% saved)

prune357.0ms (3.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New103971046
Fresh7411
Picked415
Done224
Total1052141066
Accuracy
100.0%
Counts
1066 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y z)) (/.f64 y (-.f64 y z)))
28.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
✓36.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
30.3%
(*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y x)))
33.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 y z)) y))
59.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y)))
50.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 y z)))))
62.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal -1 binary64)) (neg.f64 y)))
✓71.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
35.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (neg.f64 z) y)))
71.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (-.f64 y z) (sqrt.f64 y)))))
36.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) #s(literal 1 binary64)))
36.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y z) y)))
✓37.0%
(*.f64 #s(literal 1/2 binary64) y)
Compiler

Compiled 735 to 302 computations (58.9% saved)

regimes108.0ms (1%)

Counts
47 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y z) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 y z)) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (neg.f64 z) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y z)) (/.f64 y (-.f64 y z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 y z)))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.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 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal -1 binary64)) (neg.f64 y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (hypot.f64 x y) #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y))))
(*.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 (hypot.f64 x y) #s(literal 1 binary64)) (/.f64 (hypot.f64 x y) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (-.f64 y z) (sqrt.f64 y)))))
(/.f64 (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 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)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) y) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z)) (/.f64 y (-.f64 y z))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) #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)))))
(pow.f64 (*.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 y)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
Calls

6 calls:

38.0ms
(*.f64 z z)
16.0ms
x
14.0ms
y
13.0ms
z
12.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
93.4%3x
91.6%2y
93.0%3z
96.8%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
93.4%3(*.f64 x x)
93.0%3(*.f64 z z)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes37.0ms (0.3%)

Counts
30 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y z) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 y z)) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (neg.f64 z) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y z)) (/.f64 y (-.f64 y z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 y z)))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.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 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal -1 binary64)) (neg.f64 y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (hypot.f64 x y) #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
Calls

4 calls:

9.0ms
x
9.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
9.0ms
y
8.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
91.6%2y
85.6%2x
84.9%2(*.f64 x x)
91.7%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes30.0ms (0.3%)

Counts
21 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y z) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (-.f64 y z)) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (neg.f64 z) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y z)) (/.f64 y (-.f64 y z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 y z)))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.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 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal -1 binary64)) (neg.f64 y)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))
Calls

4 calls:

10.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
7.0ms
y
6.0ms
z
6.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
91.7%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
83.3%3z
83.3%3(*.f64 z z)
89.6%2y
Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes13.0ms (0.1%)

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

4 calls:

4.0ms
z
3.0ms
y
3.0ms
x
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
74.9%2z
67.4%4(*.f64 x x)
67.4%4x
65.7%3y
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

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

3 calls:

2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
56.7%2y
46.8%4x
56.5%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.4b remaining (-1%)

Threshold costs -0.4b (-1%)

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

3 calls:

2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
37.0%1x
37.0%1z
37.0%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch2.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
1.0926651974736379e-154
Compiler

Compiled 21 to 17 computations (19% saved)

bsearch11.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
8.289285161302945e+111
6.556075669400156e+112
Results
7.0ms96×0valid
Compiler

Compiled 219 to 143 computations (34.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (50.5% of total)
ival-div: 1.0ms (25.2% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
1.0926651974736379e-154
Compiler

Compiled 21 to 17 computations (19% saved)

bsearch77.0ms (0.7%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
76.0ms
1.151658432134613e+141
1.6046809949227168e+142
Results
72.0ms96×0valid
Compiler

Compiled 177 to 125 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (49.3% of total)
ival-div: 1.0ms (24.6% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
4.178113798624552e+113
1.9633150848569236e+114
Results
7.0ms96×0valid
Compiler

Compiled 141 to 107 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (49.6% of total)
ival-div: 1.0ms (24.8% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
12×*-commutative
7×+-commutative
4×sub-neg
4×if-if-or-not
2×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058750
184750
292750
396750
498750
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))))
(if (<=.f64 y #s(literal 37000000000000000404819433916600385306321715192515103866465149687408628307332632395026881364405511562182665437184 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))))
(if (<=.f64 z #s(literal 2099999999999999849496699588967809913836844122475199337545503451002003911984054759539680072362860752673476094061602545314879438024089175851008 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y z) y))))
(if (<=.f64 y #s(literal 919999999999999986974028779321846527670467446197109451785571047831211623349442666879374068729644611568195065610240 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y z) y))) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
Outputs
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))))
(if (or (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) (/.f64 y (hypot.f64 x y)))))
(if (<=.f64 y #s(literal 37000000000000000404819433916600385306321715192515103866465149687408628307332632395026881364405511562182665437184 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 y z) (+.f64 y z))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))))
(if (<=.f64 y #s(literal 37000000000000000404819433916600385306321715192515103866465149687408628307332632395026881364405511562182665437184 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (*.f64 (+.f64 y z) (-.f64 y z))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)))))
(if (or (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y))))
(if (<=.f64 z #s(literal 2099999999999999849496699588967809913836844122475199337545503451002003911984054759539680072362860752673476094061602545314879438024089175851008 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y z) y))))
(if (<=.f64 y #s(literal 919999999999999986974028779321846527670467446197109451785571047831211623349442666879374068729644611568195065610240 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y z) y))) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 919999999999999986974028779321846527670467446197109451785571047831211623349442666879374068729644611568195065610240 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y z) y))) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))

soundness2.0s (18.5%)

Rules
1169×log1p-expm1-u
991×fmm-def
684×div-sub
646×fma-define
595×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023323
1353293
25104293
039545
1635454
073330256
1172328132
2767728090
0131843981
1343240142
047672
1164660
2533660
32454660
47758660
0135344957
1329942839
040762
1731690
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1224 to 351 computations (71.3% saved)

preprocess74.0ms (0.7%)

Remove

(abs x)

Compiler

Compiled 1690 to 700 computations (58.6% saved)

end0.0ms (0%)

Profiling

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