Data.Array.Repa.Algorithms.Pixel:doubleRmsOfRGB8 from repa-algorithms-3.4.0.1

Time bar (total: 7.0s)

analyze2.0ms (0%)

Memory
-37.0MiB live, 1.8MiB allocated
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
0%0%99.9%0.1%0%0%0%3
100%99.9%0%0.1%0%0%0%4
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.7s (23.9%)

Memory
39.4MiB live, 1 431.1MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 979.0ms
ival-mult: 333.0ms (34% of total)
ival-add: 325.0ms (33.2% of total)
ival-div: 247.0ms (25.2% of total)
ival-sqrt: 63.0ms (6.4% of total)
ival-true: 6.0ms (0.6% of total)
...in/eval/compile.rkt:76:19: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess105.0ms (1.5%)

Memory
0.7MiB live, 158.0MiB allocated
Algorithm
1×egg-herbie
Rules
696×fmm-def
285×fma-define
111×cancel-sign-sub
88×div-sub
75×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050617
192573
2184573
3414573
4788573
51226573
61834573
72225573
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64)))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) #s(literal 3 binary64)))
Outputs
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

explain135.0ms (1.9%)

Memory
6.8MiB live, 330.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1540-0-(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
00-0-(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
00-0-#s(literal 3 binary64)
00-0-z
00-0-(*.f64 x x)
00-0-(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-(*.f64 z z)
00-0-y
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))oflow-rescue1510
↳(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))overflow151
↳(*.f64 y y)overflow32
↳(*.f64 x x)overflow6
↳(*.f64 z z)overflow151
↳(+.f64 (*.f64 x x) (*.f64 y y))overflow32
↳(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))overflow151
sqrt.f64(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))uflow-rescue30
↳(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))underflow3
↳(*.f64 y y)underflow28
↳(*.f64 x x)underflow135
↳(*.f64 z z)underflow3
↳(+.f64 (*.f64 x x) (*.f64 y y))underflow28
↳(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))underflow3
Confusion
Predicted +Predicted -
+1540
-0102
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+15400
-00102
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0102
1154
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
44.0ms512×0valid
Compiler

Compiled 154 to 48 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 13.0ms (52.9% of total)
ival-add: 4.0ms (16.3% of total)
ival-sqrt: 4.0ms (16.3% of total)
ival-div: 3.0ms (12.2% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval32.0ms (0.5%)

Memory
-37.3MiB live, 1.2MiB allocated
Compiler

Compiled 52 to 22 computations (57.7% saved)

prune2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶43.9%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
▶43.9%
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
▶43.9%
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Compiler

Compiled 48 to 30 computations (37.5% saved)

simplify16.0ms (0.2%)

Memory
20.3MiB live, 20.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 (*.f64 x x) (*.f64 y y))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 x x)
✓cost-diff-6272
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(fma.f64 z z (*.f64 y y))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 x x (*.f64 z z))
✓cost-diff0
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
✓cost-diff0
(*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Rules
49×fma-define
13×*-commutative
12×distribute-rgt-in
12×distribute-lft-in
6×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028615
139615
254615
384615
4128615
5160615
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
y
(fma.f64 x x (*.f64 z z))
x
(*.f64 z z)
z
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))
(+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y)))
(*.f64 x x)
x
(fma.f64 z z (*.f64 y y))
z
(*.f64 y y)
y
#s(literal 3 binary64)
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #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
#s(literal 3 binary64)
Outputs
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
y
(fma.f64 x x (*.f64 z z))
x
(*.f64 z z)
z
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))
(/.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))
(/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64))
(+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y)))
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
(*.f64 x x)
x
(fma.f64 z z (*.f64 y y))
(fma.f64 y y (*.f64 z z))
z
(*.f64 y y)
y
#s(literal 3 binary64)
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
(/.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))
(/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(fma.f64 y y (fma.f64 x x (*.f64 z 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
#s(literal 3 binary64)

localize119.0ms (1.7%)

Memory
-15.9MiB live, 101.9MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
✓accuracy100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
✓accuracy99.8%
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
✓accuracy44.0%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))
✓accuracy44.0%
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
✓accuracy99.7%
(*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))
✓accuracy44.0%
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Samples
89.0ms256×0valid
Compiler

Compiled 156 to 22 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 52.0ms (69.1% of total)
ival-mult: 7.0ms (9.3% of total)
ival-sqrt: 7.0ms (9.3% of total)
ival-add: 6.0ms (8% of total)
...in/eval/compile.rkt:77:19: 3.0ms (4% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series49.0ms (0.7%)

Memory
15.0MiB live, 91.8MiB allocated
Counts
14 → 396
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))>
#<alt (fma.f64 y y (fma.f64 x x (*.f64 z z)))>
#<alt (fma.f64 x x (*.f64 z z))>
#<alt (*.f64 x x)>
#<alt (fma.f64 z z (*.f64 y y))>
#<alt (*.f64 y y)>
#<alt (sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))>
#<alt (*.f64 z z)>
#<alt (+.f64 (*.f64 x x) (*.f64 y y))>
#<alt (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))>
#<alt (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))>
#<alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))>
Outputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))>
#<alt (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))>
#<alt (*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.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)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 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 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 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 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 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 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 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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Calls

99 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(+ (* y y) (+ (* x x) (* z z)))
2.0ms
z
@0
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))
2.0ms
y
@0
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))
1.0ms
y
@inf
(sqrt (/ (+ (* x x) (+ (* z z) (* y y))) 3))
1.0ms
x
@0
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))

rewrite452.0ms (6.5%)

Memory
2.9MiB live, 360.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
980×log1p-expm1-u
582×expm1-log1p-u
179×add-exp-log
179×add-log-exp
177×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028454
1413341
25823341
Stop Event
1×node limit
Counts
14 → 435
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
(fma.f64 x x (*.f64 z z))
(*.f64 x x)
(fma.f64 z z (*.f64 y y))
(*.f64 y y)
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(*.f64 z z)
(+.f64 (*.f64 x x) (*.f64 y y))
(/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))
(*.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (hypot.f64 y (hypot.f64 x z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 y (hypot.f64 x z))))
(/.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (neg.f64 (hypot.f64 y (hypot.f64 x z))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))) #s(literal 2 binary64))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 y (hypot.f64 x z))) (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal -3 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #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))) (*.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))) (hypot.f64 y (hypot.f64 x z))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (*.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))) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))
(/.f64 (*.f64 (hypot.f64 y (hypot.f64 x z)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(+.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))
(+.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (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 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #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 (hypot.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(*.f64 (hypot.f64 y (hypot.f64 x z)) (hypot.f64 y (hypot.f64 x z)))
(*.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #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))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #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 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #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 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z 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))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #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))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))
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(pow.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #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 (hypot.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(*.f64 (hypot.f64 y (hypot.f64 x z)) (hypot.f64 y (hypot.f64 x z)))
(*.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #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))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #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 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #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 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z 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))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #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))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 z 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 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))))
(/.f64 (neg.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)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y y (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))
(fma.f64 z z (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #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 (hypot.f64 z y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 z #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 (hypot.f64 x 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)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (hypot.f64 z y) (hypot.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (hypot.f64 y x) (hypot.f64 y x) (pow.f64 z #s(literal 2 binary64)))

simplify574.0ms (8.2%)

Memory
30.9MiB live, 740.6MiB allocated
Algorithm
1×egg-herbie
Rules
483×associate-*r*
412×associate-*l*
331×fmm-def
301×*-commutative
292×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075644343
1178339268
2605039268
Stop Event
1×node limit
Counts
831 → 478
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.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 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.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 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
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(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y y (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))
(fma.f64 z z (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #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 (hypot.f64 z y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 z #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 (hypot.f64 x 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)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (hypot.f64 z y) (hypot.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (hypot.f64 y x) (hypot.f64 y x) (pow.f64 z #s(literal 2 binary64)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/8 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64))))))))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/16 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.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 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 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 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.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 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 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 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 4 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.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 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 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 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (/.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))
(neg.f64 (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 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 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
(neg.f64 (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))
(*.f64 (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.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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(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 (hypot.f64 x z) y) #s(literal 2 binary64))
(pow.f64 (hypot.f64 x (hypot.f64 z y)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 (hypot.f64 x z) y) #s(literal 2 binary64))
(pow.f64 (hypot.f64 x (hypot.f64 z y)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 (hypot.f64 x z) y) #s(literal 2 binary64))
(pow.f64 (hypot.f64 x (hypot.f64 z 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 (hypot.f64 x 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)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(fma.f64 (hypot.f64 z y) (hypot.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 (hypot.f64 x z) y) #s(literal 2 binary64))
(pow.f64 (hypot.f64 x (hypot.f64 z y)) #s(literal 2 binary64))
(fma.f64 (hypot.f64 y x) (hypot.f64 y x) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 (hypot.f64 x z) y) #s(literal 2 binary64))
(pow.f64 (hypot.f64 x (hypot.f64 z y)) #s(literal 2 binary64))

eval72.0ms (1%)

Memory
-27.5MiB live, 164.9MiB allocated
Compiler

Compiled 10 678 to 2 031 computations (81% saved)

prune75.0ms (1.1%)

Memory
31.7MiB live, 192.4MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New5143517
Fresh000
Picked213
Done000
Total5164520
Accuracy
100.0%
Counts
520 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.f64 (hypot.f64 (hypot.f64 x z) y) (sqrt.f64 #s(literal 3 binary64)))
▶99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
▶97.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓43.9%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify48.0ms (0.7%)

Memory
-28.6MiB live, 10.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 #s(literal 3 binary64))
✓cost-diff0
(hypot.f64 x z)
✓cost-diff0
(hypot.f64 (hypot.f64 x z) y)
✓cost-diff0
(/.f64 (hypot.f64 (hypot.f64 x z) y) (sqrt.f64 #s(literal 3 binary64)))
✓cost-diff0
(hypot.f64 z y)
✓cost-diff0
(sqrt.f64 #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓cost-diff0
(sqrt.f64 #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
Rules
10×fma-define
4×+-commutative
3×associate-+r+
3×hypot-define
3×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020159
132159
240159
353159
459159
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
z
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(hypot.f64 z y)
z
y
(/.f64 (hypot.f64 (hypot.f64 x z) y) (sqrt.f64 #s(literal 3 binary64)))
(hypot.f64 (hypot.f64 x z) y)
(hypot.f64 x z)
x
z
y
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
z
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(hypot.f64 z y)
z
y
(/.f64 (hypot.f64 (hypot.f64 x z) y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))
(hypot.f64 (hypot.f64 x z) y)
(hypot.f64 y (hypot.f64 z x))
(hypot.f64 x z)
(hypot.f64 z x)
x
z
y
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)

localize57.0ms (0.8%)

Memory
23.7MiB live, 140.6MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(hypot.f64 (hypot.f64 x z) y)
✓accuracy100.0%
(hypot.f64 x z)
✓accuracy100.0%
(sqrt.f64 #s(literal 3 binary64))
✓accuracy99.4%
(/.f64 (hypot.f64 (hypot.f64 x z) y) (sqrt.f64 #s(literal 3 binary64)))
✓accuracy100.0%
(hypot.f64 z y)
✓accuracy100.0%
(sqrt.f64 #s(literal 1/3 binary64))
✓accuracy99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/3 binary64))
✓accuracy99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
Samples
40.0ms256×0valid
Compiler

Compiled 46 to 15 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-hypot: 11.0ms (42.8% of total)
ival-sqrt: 6.0ms (23.4% of total)
...in/eval/compile.rkt:77:19: 4.0ms (15.6% of total)
ival-mult: 3.0ms (11.7% of total)
ival-div: 2.0ms (7.8% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series46.0ms (0.7%)

Memory
-11.4MiB live, 83.5MiB allocated
Counts
8 → 156
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)>
#<alt (sqrt.f64 #s(literal 1/3 binary64))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))>
#<alt (hypot.f64 z y)>
#<alt (/.f64 (hypot.f64 (hypot.f64 x z) y) (sqrt.f64 #s(literal 3 binary64)))>
#<alt (hypot.f64 (hypot.f64 x z) y)>
#<alt (hypot.f64 x z)>
#<alt (sqrt.f64 #s(literal 3 binary64))>
Outputs
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) y)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))))>
#<alt (+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (+.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))>
#<alt (+.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 5 binary64)))))))))>
#<alt (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))>
#<alt (+.f64 z (*.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 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.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 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (sqrt.f64 (+.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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.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)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 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 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 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 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 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 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 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 z>
#<alt (+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (+.f64 z (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))>
#<alt (+.f64 z (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #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 z #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #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 z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
Calls

39 calls:

TimeVariablePointExpression
13.0ms
z
@inf
(sqrt (+ (* (sqrt (+ (* x x) (* z z))) (sqrt (+ (* x x) (* z z)))) (* y y)))
3.0ms
z
@0
(sqrt (+ (* z z) (* y y)))
2.0ms
x
@0
(sqrt (+ (* x x) (* z z)))
2.0ms
y
@inf
(/ (sqrt (+ (* (sqrt (+ (* x x) (* z z))) (sqrt (+ (* x x) (* z z)))) (* y y))) (sqrt 3))
1.0ms
x
@0
(/ (sqrt (+ (* (sqrt (+ (* x x) (* z z))) (sqrt (+ (* x x) (* z z)))) (* y y))) (sqrt 3))

rewrite144.0ms (2.1%)

Memory
9.0MiB live, 126.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 019×log1p-expm1-u
1 019×expm1-log1p-u
570×log-prod
204×expm1-undefine
204×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020127
1237127
22861127
Stop Event
1×node limit
Counts
8 → 185
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(hypot.f64 z y)
(/.f64 (hypot.f64 (hypot.f64 x z) y) (sqrt.f64 #s(literal 3 binary64)))
(hypot.f64 (hypot.f64 x z) y)
(hypot.f64 x z)
(sqrt.f64 #s(literal 3 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 z y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 z y))) (cbrt.f64 (exp.f64 (hypot.f64 z y))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z y)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 z y))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 z y))
(*.f64 (cbrt.f64 (hypot.f64 z y)) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 z y)))
(*.f64 (sqrt.f64 (hypot.f64 z y)) (sqrt.f64 (hypot.f64 z y)))
(pow.f64 (hypot.f64 z y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 z y))))
(cbrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 z y)))
(log1p.f64 (expm1.f64 (hypot.f64 z y)))
(exp.f64 (log.f64 (hypot.f64 z y)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 z y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))))) (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y (hypot.f64 z x)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (/.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (*.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 (hypot.f64 y (hypot.f64 z x))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (hypot.f64 y (hypot.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (hypot.f64 y (hypot.f64 z x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (hypot.f64 y (hypot.f64 z x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(pow.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 y (hypot.f64 z x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 y (hypot.f64 z x))) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 y (hypot.f64 z x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x)))) (cbrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y (hypot.f64 z x)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 y (hypot.f64 z x)))
(*.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 y (hypot.f64 z x))))
(*.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (sqrt.f64 (hypot.f64 y (hypot.f64 z x))))
(pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y (hypot.f64 z x)))))
(cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y (hypot.f64 z x))))
(log1p.f64 (expm1.f64 (hypot.f64 y (hypot.f64 z x))))
(exp.f64 (log.f64 (hypot.f64 y (hypot.f64 z x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 z x))) (cbrt.f64 (exp.f64 (hypot.f64 z x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 z x))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 z x))
(*.f64 (cbrt.f64 (hypot.f64 z x)) (pow.f64 (cbrt.f64 (hypot.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 z x)))
(*.f64 (sqrt.f64 (hypot.f64 z x)) (sqrt.f64 (hypot.f64 z x)))
(pow.f64 (hypot.f64 z x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 z x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 z x))))
(cbrt.f64 (pow.f64 (hypot.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 z x)))
(log1p.f64 (expm1.f64 (hypot.f64 z x)))
(exp.f64 (log.f64 (hypot.f64 z x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 z x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))

simplify201.0ms (2.9%)

Memory
-8.6MiB live, 269.6MiB allocated
Algorithm
1×egg-herbie
Rules
718×fma-define
679×associate-*r*
587×associate-*l*
508×distribute-lft-in
504×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090117132
1233116228
Stop Event
1×node limit
Counts
341 → 569
Calls
Call 1
Inputs
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) y)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))))
(+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 5 binary64)))))))))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))
y
(+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
z
(+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(+.f64 z (*.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 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
(+.f64 z (*.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 z #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
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y
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z
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x
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z
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(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 z y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 z y))) (cbrt.f64 (exp.f64 (hypot.f64 z y))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z y)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 z y))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 z y))
(*.f64 (cbrt.f64 (hypot.f64 z y)) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 z y)))
(*.f64 (sqrt.f64 (hypot.f64 z y)) (sqrt.f64 (hypot.f64 z y)))
(pow.f64 (hypot.f64 z y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 z y))))
(cbrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 z y)))
(log1p.f64 (expm1.f64 (hypot.f64 z y)))
(exp.f64 (log.f64 (hypot.f64 z y)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 z y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))))) (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y (hypot.f64 z x)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (/.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (*.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 (hypot.f64 y (hypot.f64 z x))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (hypot.f64 y (hypot.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (hypot.f64 y (hypot.f64 z x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (hypot.f64 y (hypot.f64 z x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(pow.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 y (hypot.f64 z x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 y (hypot.f64 z x))) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 y (hypot.f64 z x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x)))) (cbrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y (hypot.f64 z x)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 y (hypot.f64 z x)))
(*.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 y (hypot.f64 z x))))
(*.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (sqrt.f64 (hypot.f64 y (hypot.f64 z x))))
(pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y (hypot.f64 z x)))))
(cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y (hypot.f64 z x))))
(log1p.f64 (expm1.f64 (hypot.f64 y (hypot.f64 z x))))
(exp.f64 (log.f64 (hypot.f64 y (hypot.f64 z x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 z x))) (cbrt.f64 (exp.f64 (hypot.f64 z x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 z x))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 z x))
(*.f64 (cbrt.f64 (hypot.f64 z x)) (pow.f64 (cbrt.f64 (hypot.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 z x)))
(*.f64 (sqrt.f64 (hypot.f64 z x)) (sqrt.f64 (hypot.f64 z x)))
(pow.f64 (hypot.f64 z x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 z x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 z x))))
(cbrt.f64 (pow.f64 (hypot.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 z x)))
(log1p.f64 (expm1.f64 (hypot.f64 z x)))
(exp.f64 (log.f64 (hypot.f64 z x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 z x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) y)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) y (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))))
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z
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(hypot.f64 z x)
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y
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z
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x
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x
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z
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(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (log.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 (hypot.f64 y (hypot.f64 z x)) (sqrt.f64 #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 y (hypot.f64 z x)))
(hypot.f64 y (hypot.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x)))) (cbrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y (hypot.f64 z x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 y (hypot.f64 z x))))
(*.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 1 binary64))
(hypot.f64 y (hypot.f64 z x))
(*.f64 #s(literal 1 binary64) (hypot.f64 y (hypot.f64 z x)))
(hypot.f64 y (hypot.f64 z x))
(*.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)))
(hypot.f64 y (hypot.f64 z x))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 y (hypot.f64 z x))))
(hypot.f64 y (hypot.f64 z x))
(*.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) (sqrt.f64 (hypot.f64 y (hypot.f64 z x))))
(hypot.f64 y (hypot.f64 z x))
(pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 1 binary64))
(hypot.f64 y (hypot.f64 z x))
(pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 y (hypot.f64 z x))
(pow.f64 (cbrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 3 binary64))
(hypot.f64 y (hypot.f64 z x))
(pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 y (hypot.f64 z x))
(pow.f64 (sqrt.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 2 binary64))
(hypot.f64 y (hypot.f64 z x))
(sqrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 2 binary64)))
(hypot.f64 y (hypot.f64 z x))
(log.f64 (exp.f64 (hypot.f64 y (hypot.f64 z x))))
(hypot.f64 y (hypot.f64 z x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y (hypot.f64 z x)))))
(hypot.f64 y (hypot.f64 z x))
(cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 z x)) #s(literal 3 binary64)))
(hypot.f64 y (hypot.f64 z x))
(expm1.f64 (log1p.f64 (hypot.f64 y (hypot.f64 z x))))
(log1p.f64 (expm1.f64 (hypot.f64 y (hypot.f64 z x))))
(hypot.f64 y (hypot.f64 z x))
(exp.f64 (log.f64 (hypot.f64 y (hypot.f64 z x))))
(hypot.f64 y (hypot.f64 z x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y (hypot.f64 z x))) #s(literal 1 binary64)))
(hypot.f64 y (hypot.f64 z x))
(+.f64 #s(literal 0 binary64) (hypot.f64 z x))
(hypot.f64 z x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 z x))) (cbrt.f64 (exp.f64 (hypot.f64 z x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 z x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 z x)))
(*.f64 (hypot.f64 z x) #s(literal 1 binary64))
(hypot.f64 z x)
(*.f64 #s(literal 1 binary64) (hypot.f64 z x))
(hypot.f64 z x)
(*.f64 (cbrt.f64 (hypot.f64 z x)) (pow.f64 (cbrt.f64 (hypot.f64 z x)) #s(literal 2 binary64)))
(hypot.f64 z x)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 z x)))
(hypot.f64 z x)
(*.f64 (sqrt.f64 (hypot.f64 z x)) (sqrt.f64 (hypot.f64 z x)))
(hypot.f64 z x)
(pow.f64 (hypot.f64 z x) #s(literal 1 binary64))
(hypot.f64 z x)
(pow.f64 (pow.f64 (hypot.f64 z x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 z x)
(pow.f64 (cbrt.f64 (hypot.f64 z x)) #s(literal 3 binary64))
(hypot.f64 z x)
(pow.f64 (pow.f64 (hypot.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 z x)
(pow.f64 (sqrt.f64 (hypot.f64 z x)) #s(literal 2 binary64))
(hypot.f64 z x)
(sqrt.f64 (pow.f64 (hypot.f64 z x) #s(literal 2 binary64)))
(hypot.f64 z x)
(log.f64 (exp.f64 (hypot.f64 z x)))
(hypot.f64 z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 z x))))
(hypot.f64 z x)
(cbrt.f64 (pow.f64 (hypot.f64 z x) #s(literal 3 binary64)))
(hypot.f64 z x)
(expm1.f64 (log1p.f64 (hypot.f64 z x)))
(log1p.f64 (expm1.f64 (hypot.f64 z x)))
(hypot.f64 z x)
(exp.f64 (log.f64 (hypot.f64 z x)))
(hypot.f64 z x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 z x)) #s(literal 1 binary64)))
(hypot.f64 z x)
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 3 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(sqrt.f64 #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 3 binary64))

eval157.0ms (2.3%)

Memory
-6.3MiB live, 145.1MiB allocated
Compiler

Compiled 13 609 to 2 038 computations (85% saved)

prune107.0ms (1.5%)

Memory
13.9MiB live, 177.5MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New5922594
Fresh000
Picked123
Done011
Total5935598
Accuracy
100.0%
Counts
598 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
▶97.5%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓97.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓43.9%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 49 to 37 computations (24.5% saved)

simplify8.0ms (0.1%)

Memory
-23.6MiB live, 15.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 3 binary64))
cost-diff0
(hypot.f64 z y)
✓cost-diff0
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
cost-diff0
(sqrt.f64 #s(literal 3 binary64))
✓cost-diff0
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
Rules
2×fma-define
1×hypot-define
1×hypot-undefine
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01374
11774
22074
32274
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(hypot.f64 z y)
z
y
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(hypot.f64 z y)
z
y
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)

localize30.0ms (0.4%)

Memory
23.3MiB live, 65.5MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 z y)
accuracy100.0%
(sqrt.f64 #s(literal 3 binary64))
✓accuracy99.4%
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
accuracy100.0%
(sqrt.f64 #s(literal 3 binary64))
✓accuracy99.4%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
Samples
20.0ms256×0valid
Compiler

Compiled 24 to 10 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-hypot: 7.0ms (56.7% of total)
ival-div: 3.0ms (24.3% of total)
ival-sqrt: 2.0ms (16.2% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-26.9MiB live, 12.2MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))>
Outputs
#<alt (/.f64 y (sqrt.f64 #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))>
#<alt (+.f64 (*.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)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))>
#<alt (/.f64 y (sqrt.f64 #s(literal 3 binary64)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/ (sqrt (+ (* z z) (* y y))) (sqrt 3))
1.0ms
z
@inf
(/ (sqrt (+ (* z z) (* y y))) (sqrt 3))
1.0ms
z
@inf
(/ z (sqrt 3))
1.0ms
y
@inf
(/ (sqrt (+ (* z z) (* y y))) (sqrt 3))
1.0ms
z
@-inf
(/ z (sqrt 3))

rewrite182.0ms (2.6%)

Memory
37.1MiB live, 76.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
657×log1p-expm1-u
657×expm1-log1p-u
630×unpow-prod-down
353×log-prod
187×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
113837
2180337
Stop Event
1×node limit
Counts
2 → 154
Calls
Call 1
Inputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) z)
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) z) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (cbrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (cbrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z y) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (hypot.f64 z y)) (/.f64 (sqrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 z y)) (*.f64 (sqrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 z y)) (pow.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 (hypot.f64 z y)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 (hypot.f64 z y)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (hypot.f64 z y))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 z y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (hypot.f64 z y) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (hypot.f64 z y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (hypot.f64 z y) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (hypot.f64 z y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (hypot.f64 z y) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (hypot.f64 z y) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (hypot.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (hypot.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 z y) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify169.0ms (2.4%)

Memory
-24.0MiB live, 132.5MiB allocated
Algorithm
1×egg-herbie
Rules
663×times-frac
657×associate-*r/
523×associate-*l/
315×distribute-lft-in
296×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05116634
110866407
230306347
Stop Event
1×node limit
Counts
178 → 279
Calls
Call 1
Inputs
(/.f64 y (sqrt.f64 #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (*.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)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(/.f64 y (sqrt.f64 #s(literal 3 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))
(+.f64 #s(literal 0 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 z y) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(/.f64 y (sqrt.f64 #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (sqrt.f64 #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (sqrt.f64 #s(literal 3 binary64))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 z (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) z)) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) z))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) z) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (*.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)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) z))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) z))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) z) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
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(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (cbrt.f64 (hypot.f64 z y))) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 y z)) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (hypot.f64 y z))))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -2 binary64))
(pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 y z))) #s(literal -2 binary64))
(pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y z) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y)) #s(literal -1 binary64))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y z) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (/.f64 (hypot.f64 z y) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y z) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y z) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1/3 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y))) #s(literal -1 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))

eval55.0ms (0.8%)

Memory
18.2MiB live, 95.4MiB allocated
Compiler

Compiled 6 514 to 1 123 computations (82.8% saved)

prune65.0ms (0.9%)

Memory
-23.6MiB live, 139.3MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4071408
Fresh000
Picked022
Done033
Total4076413
Accuracy
100.0%
Counts
413 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.4%
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
✓97.5%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓97.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
▶96.7%
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
✓43.9%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 60 to 47 computations (21.7% saved)

simplify16.0ms (0.2%)

Memory
30.3MiB live, 30.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
✓cost-diff0
(neg.f64 z)
✓cost-diff64
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
✓cost-diff256
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
Rules
36×fma-define
14×times-frac
14×fmm-def
12×div-sub
11×neg-sub0
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01371
13061
26553
316953
424253
529953
630653
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64)))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)

localize28.0ms (0.4%)

Memory
-19.8MiB live, 55.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
✓accuracy100.0%
(neg.f64 z)
✓accuracy99.4%
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
Samples
18.0ms256×0valid
Compiler

Compiled 25 to 12 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-neg: 4.0ms (41.5% of total)
ival-div: 2.0ms (20.8% of total)
ival-mult: 2.0ms (20.8% of total)
ival-sqrt: 2.0ms (20.8% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Counts
4 → 24
Calls
Call 1
Inputs
#<alt (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))>
#<alt (neg.f64 z)>
#<alt (neg.f64 (sqrt.f64 #s(literal 3 binary64)))>
Outputs
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(neg z)
0.0ms
z
@0
(* (neg z) (/ 1 (neg (sqrt 3))))
0.0ms
z
@inf
(* (neg z) (/ 1 (neg (sqrt 3))))
0.0ms
z
@-inf
(* (neg z) (/ 1 (neg (sqrt 3))))
0.0ms
z
@0
(neg z)

rewrite39.0ms (0.6%)

Memory
14.3MiB live, 51.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
60×add-cube-cbrt
59×add-exp-log
59×add-log-exp
59×log1p-expm1-u
59×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01354
114754
2195754
Stop Event
1×unsound
Counts
4 → 120
Calls
Call 1
Inputs
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(neg.f64 z)
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 #s(literal 3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))

simplify109.0ms (1.6%)

Memory
-4.9MiB live, 74.3MiB allocated
Algorithm
1×egg-herbie
Rules
832×fmm-def
442×associate-/l*
306×fma-define
297×distribute-rgt-neg-in
279×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02201651
13761625
212551481
343831367
474151367
Stop Event
1×node limit
Counts
144 → 136
Calls
Call 1
Inputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(-.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 #s(literal 3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
Outputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(-.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
(fabs.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(+.f64 #s(literal 0 binary64) z)
z
(-.f64 #s(literal 0 binary64) z)
(neg.f64 z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
z
(*.f64 z #s(literal 1 binary64))
z
(*.f64 z #s(literal -1 binary64))
(neg.f64 z)
(*.f64 #s(literal 1 binary64) z)
z
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
z
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
z
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(neg.f64 z)
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 1 binary64)))
z
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
z
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(neg.f64 z)
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)))
z
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(neg.f64 z)
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(neg.f64 z)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(neg.f64 z)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(neg.f64 z)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(neg.f64 z)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(neg.f64 z)
(pow.f64 z #s(literal 1 binary64))
z
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
z
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
z
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
z
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
z
(log.f64 (exp.f64 z))
z
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
z
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
z
(log1p.f64 (expm1.f64 z))
z
(exp.f64 (log.f64 z))
z
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
z
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(sqrt.f64 #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 3 binary64))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(*.f64 (neg.f64 (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 3 binary64))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(neg.f64 (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 3 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(sqrt.f64 #s(literal 3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 3 binary64))

eval17.0ms (0.2%)

Memory
5.6MiB live, 43.8MiB allocated
Compiler

Compiled 1 265 to 379 computations (70% saved)

prune181.0ms (2.6%)

Memory
-9.3MiB live, 70.7MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1351136
Fresh000
Picked011
Done055
Total1357142
Accuracy
100.0%
Counts
142 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.4%
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
✓97.5%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
97.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓97.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓96.7%
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
✓43.9%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 153 to 92 computations (39.9% saved)

regimes194.0ms (2.8%)

Memory
-120.8MiB live, 75.0MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(/.f64 (hypot.f64 (hypot.f64 x z) y) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Outputs
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
Calls

10 calls:

160.0ms
y
6.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
4.0ms
x
3.0ms
z
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1z
99.4%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
99.4%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
99.4%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
99.4%1(+.f64 (*.f64 x x) (*.f64 y y))
99.4%1(*.f64 x x)
99.4%1(*.f64 y y)
99.4%1(*.f64 z z)
Compiler

Compiled 87 to 56 computations (35.6% saved)

regimes26.0ms (0.4%)

Memory
13.3MiB live, 56.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
Calls

10 calls:

4.0ms
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
3.0ms
y
3.0ms
z
3.0ms
x
2.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1z
99.4%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
99.4%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
99.4%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
99.4%1(+.f64 (*.f64 x x) (*.f64 y y))
99.4%1(*.f64 x x)
99.4%1(*.f64 y y)
99.4%1(*.f64 z z)
Compiler

Compiled 87 to 56 computations (35.6% saved)

regimes24.0ms (0.3%)

Memory
9.4MiB live, 49.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Outputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
Calls

10 calls:

4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
2.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
97.5%1x
97.5%1y
97.5%1z
97.5%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
97.5%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
97.5%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
97.5%1(+.f64 (*.f64 x x) (*.f64 y y))
97.5%1(*.f64 x x)
97.5%1(*.f64 y y)
97.5%1(*.f64 z z)
Compiler

Compiled 87 to 56 computations (35.6% saved)

regimes134.0ms (1.9%)

Memory
-29.1MiB live, 9.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

131.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
97.4%1x
97.4%1y
97.4%1z
Compiler

Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01774
11974
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
Outputs
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))

soundness1.4s (20.5%)

Memory
12.7MiB live, 1 135.2MiB allocated
Rules
980×log1p-expm1-u
718×fma-define
696×fmm-def
679×associate-*r*
587×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075644343
1178339268
2605039268
028454
1413341
25823341
050617
192573
2184573
3414573
4788573
51226573
61834573
72225573
090117132
1233116228
Stop Event
1×fuel
1×node limit
1×saturated
1×node limit
1×node limit
Compiler

Compiled 671 to 218 computations (67.5% saved)

preprocess196.0ms (2.8%)

Memory
6.9MiB live, 204.6MiB allocated
Compiler

Compiled 438 to 316 computations (27.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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