Statistics.Distribution.CauchyLorentz:$cdensity from math-functions-0.1.5.2

Time bar (total: 10.4s)

analyze59.0ms (0.6%)

Memory
6.0MiB live, 82.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
56.3%56.2%43.7%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
76.6%76.5%23.4%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.4s (13.7%)

Memory
1.1MiB live, 1 077.8MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 357.0ms
ival-mult: 170.0ms (47.6% of total)
ival-div: 132.0ms (36.9% of total)
ival-add: 44.0ms (12.3% of total)
ival-true: 6.0ms (1.7% of total)
...in/eval/compile.rkt:76:19: 3.0ms (0.8% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess284.0ms (2.7%)

Memory
-13.7MiB live, 70.6MiB allocated
Algorithm
egg-herbie
Rules
1 198×fma-define
858×fmm-def
547×unsub-neg
417×distribute-lft-in
379×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042485
1140429
2374429
31232429
42997429
55308429
66628429
76877429
86988429
97001429
107502429
117806429
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z))))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y y))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 x x #s(literal 1 binary64)) z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (fma.f64 y y #s(literal 1 binary64)))))
Symmetry

(abs z)

(negabs x)

(negabs y)

(sort x y)

explain142.0ms (1.4%)

Memory
13.2MiB live, 207.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
271(4.6226119864022235e-105 2091605.8140379973 4.2277062085509997e+210)0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
110-0-(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-z
00-0-(+.f64 #s(literal 1 binary64) (*.f64 z z))
00-0-(*.f64 z z)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))n/o280
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))overflow89
(+.f64 #s(literal 1 binary64) (*.f64 z z))overflow73
(*.f64 z z)overflow73
*.f64(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))n*o110
Confusion
Predicted +Predicted -
+380
-1217
Precision
0.9743589743589743
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3800
-10217
Precision?
0.9743589743589743
Recall?
1.0
Freqs
test
numberfreq
0217
139
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
Compiler

Compiled 98 to 40 computations (59.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 10.0ms (49.4% of total)
ival-mult: 7.0ms (34.6% of total)
ival-add: 2.0ms (9.9% 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)

eval0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Compiler

Compiled 23 to 11 computations (52.2% saved)

prune1.0ms (0%)

Memory
3.5MiB live, 3.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
89.8%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
Compiler

Compiled 27 to 17 computations (37% saved)

simplify15.0ms (0.1%)

Memory
-20.1MiB live, 18.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
cost-diff-6272
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
cost-diff0
(*.f64 z z)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 z z #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
Rules
46×fma-define
36×associate-*r*
31×associate-*l*
23×associate-/r*
21×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020227
146227
281227
3165227
4246227
5283227
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
#s(literal 1 binary64)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 z z #s(literal 1 binary64))
z
(*.f64 x y)
x
y
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
z
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
#s(literal 1 binary64)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 z z #s(literal 1 binary64))
z
(*.f64 x y)
x
y
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(fma.f64 z z #s(literal 1 binary64))
(*.f64 z z)
z

localize189.0ms (1.8%)

Memory
3.2MiB live, 83.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy100.0%
(*.f64 z z)
accuracy96.0%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
accuracy90.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
accuracy100.0%
(*.f64 x y)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
accuracy89.9%
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
Samples
175.0ms256×0valid
Compiler

Compiled 64 to 15 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-div: 154.0ms (93.7% of total)
ival-mult: 6.0ms (3.7% of total)
ival-add: 4.0ms (2.4% 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)

series24.0ms (0.2%)

Memory
6.9MiB live, 45.6MiB allocated
Counts
9 → 168
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))>
#<alt (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))>
#<alt (fma.f64 z z #s(literal 1 binary64))>
#<alt (*.f64 x y)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 z z)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 z z))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
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#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
Calls

51 calls:

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

rewrite456.0ms (4.4%)

Memory
19.6MiB live, 372.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
786×log1p-expm1-u
786×expm1-log1p-u
289×prod-diff
270×fma-define
201×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020198
1295198
23918198
Stop Event
node limit
Counts
9 → 356
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 z z #s(literal 1 binary64))
(*.f64 x y)
(/.f64 #s(literal 1 binary64) x)
(*.f64 z z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))))
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(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64))) y)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z) y)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) y)
(fma.f64 (*.f64 y z) z y)
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z z #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z z #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 z z #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))

simplify265.0ms (2.5%)

Memory
22.7MiB live, 361.1MiB allocated
Algorithm
egg-herbie
Rules
447×cancel-sign-sub-inv
360×cube-prod
316×exp-prod
257×associate-*r*
253×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056317952
1127217670
2438017531
Stop Event
node limit
Counts
524 → 389
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 x y)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 x y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 (*.f64 x y)))) #s(literal 1 binary64)))
(+.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 y (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (-.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) y) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z z #s(literal 1 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) y)
(fma.f64 z (*.f64 z y) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) y y)
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 2 binary64))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64))) y)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z) y)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) y)
(fma.f64 (*.f64 y z) z y)
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z z #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z z #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 z z #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 z x) (/.f64 z y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
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(fma.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
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(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
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eval71.0ms (0.7%)

Memory
-11.2MiB live, 141.1MiB allocated
Compiler

Compiled 6 169 to 1 132 computations (81.7% saved)

prune70.0ms (0.7%)

Memory
20.2MiB live, 183.7MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New36920389
Fresh000
Picked112
Done000
Total37021391
Accuracy
100.0%
Counts
391 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
94.8%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
85.8%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
85.9%
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
55.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
63.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))
62.9%
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (cbrt.f64 x))) (fma.f64 z z #s(literal 1 binary64)))
99.4%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
56.3%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
90.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
89.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64)))
39.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (-.f64 y (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (-.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
86.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
56.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
94.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
55.5%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
56.9%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
89.6%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
90.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
Compiler

Compiled 616 to 409 computations (33.6% saved)

simplify47.0ms (0.5%)

Memory
-11.2MiB live, 30.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 x y))
cost-diff0
(hypot.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
cost-diff0
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
cost-diff-6272
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
cost-diff-6272
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
cost-diff0
(pow.f64 z #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x y))
cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
cost-diff0
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
cost-diff19456
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
Rules
243×associate-/r*
171×associate-*r*
105×associate-*l*
88×fma-define
56×associate-/l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034573
168570
2126570
3275543
4426543
5621543
6913543
7957543
8957543
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
#s(literal 1 binary64)
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 y)
y
(/.f64 #s(literal 1 binary64) (*.f64 x y))
#s(literal 1 binary64)
(*.f64 x y)
x
y
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt.f64 x)
x
#s(literal -2 binary64)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
#s(literal 1 binary64)
(*.f64 z z)
z
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal -2 binary64)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 y))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (hypot.f64 #s(literal 1 binary64) z))) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (*.f64 x (hypot.f64 #s(literal 1 binary64) z))))
#s(literal 1 binary64)
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (*.f64 x (hypot.f64 #s(literal 1 binary64) z)))
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(hypot.f64 #s(literal 1 binary64) z)
z
(sqrt.f64 y)
y
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
#s(literal 1 binary64)
(*.f64 x y)
x
y
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt.f64 x)
x
#s(literal -2 binary64)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 z z #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z z)
(pow.f64 z #s(literal 2 binary64))
z
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
(hypot.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal -2 binary64)

localize96.0ms (0.9%)

Memory
3.0MiB live, 200.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy99.8%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
accuracy99.5%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
accuracy75.8%
(sqrt.f64 (*.f64 x y))
accuracy100.0%
(sqrt.f64 x)
accuracy99.2%
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
accuracy96.0%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
accuracy90.2%
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy83.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x y)
accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy99.8%
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
accuracy95.6%
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
Samples
61.0ms256×0valid
Compiler

Compiled 159 to 29 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 10.0ms (23.7% of total)
ival-mult: 10.0ms (23.7% of total)
ival-sqrt: 6.0ms (14.2% of total)
ival-pow: 6.0ms (14.2% of total)
ival-hypot: 5.0ms (11.9% of total)
ival-pow2: 4.0ms (9.5% of total)
ival-add: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series131.0ms (1.3%)

Memory
-22.0MiB live, 112.4MiB allocated
Counts
16 → 336
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))>
#<alt (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))>
#<alt (sqrt.f64 x)>
#<alt (/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))>
#<alt (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))>
#<alt (hypot.f64 #s(literal 1 binary64) z)>
#<alt (sqrt.f64 (*.f64 x y))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
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#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x y))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/8 binary64))))))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)))))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 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 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

102 calls:

TimeVariablePointExpression
76.0ms
z
@inf
(/ 1 (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))))
5.0ms
z
@inf
(sqrt (+ (* 1 1) (* z z)))
4.0ms
z
@inf
(* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
3.0ms
x
@0
(/ (/ (/ 1 y) x) (pow z 2))
2.0ms
y
@-inf
(/ (/ 1 (* x (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))

rewrite457.0ms (4.4%)

Memory
3.0MiB live, 231.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
512×prod-diff
234×log1p-expm1-u
234×expm1-log1p-u
230×add-exp-log
228×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034432
1559368
27738368
Stop Event
node limit
Counts
16 → 527
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt.f64 x)
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))
(hypot.f64 #s(literal 1 binary64) z)
(sqrt.f64 (*.f64 x y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y)))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) (hypot.f64 #s(literal 1 binary64) z)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
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(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (fma.f64 z z #s(literal 1 binary64)))))
(exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x y))) (log1p.f64 (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x y))) (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x y))) (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 z z #s(literal 1 binary64)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))

simplify644.0ms (6.2%)

Memory
18.3MiB live, 706.4MiB allocated
Algorithm
egg-herbie
Rules
459×associate-*r/
412×fma-define
401×times-frac
376×fmm-def
341×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0106936463
1250334420
2782534414
Stop Event
node limit
Counts
863 → 735
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
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#s(literal 1 binary64)
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z
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(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 z z #s(literal 1 binary64)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) z))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 z x) (/.f64 z y) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
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#s(literal 1 binary64)
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z
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)))
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -4 binary64))))
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(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64)) #s(literal 3 binary64)))
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(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))
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(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
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(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
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(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
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(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(sqrt.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(sqrt.f64 (*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64))))
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(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
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(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
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(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
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(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))))
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(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
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(*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
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(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
(hypot.f64 #s(literal 1 binary64) z)
(*.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (cbrt.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
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(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64)))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1/2 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 #s(literal 1 binary64) z)
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(hypot.f64 #s(literal 1 binary64) z)
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(hypot.f64 #s(literal 1 binary64) z)
(fabs.f64 (hypot.f64 #s(literal 1 binary64) z))
(hypot.f64 #s(literal 1 binary64) z)
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) z))))
(hypot.f64 #s(literal 1 binary64) z)
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(hypot.f64 #s(literal 1 binary64) z)
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)))
(hypot.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) z)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
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(*.f64 (sqrt.f64 y) (sqrt.f64 x))
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(sqrt.f64 (*.f64 x y))
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(sqrt.f64 (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
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(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 x y))
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(sqrt.f64 (*.f64 x y))

eval363.0ms (3.5%)

Memory
5.3MiB live, 198.9MiB allocated
Compiler

Compiled 19 666 to 2 978 computations (84.9% saved)

prune196.0ms (1.9%)

Memory
-33.3MiB live, 329.5MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New990131 003
Fresh10515
Picked415
Done011
Total1 004201 024
Accuracy
100.0%
Counts
1 024 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
61.8%
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
94.5%
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -4 binary64))
90.0%
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (fma.f64 (*.f64 y z) z y))
56.2%
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
56.3%
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
55.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 z z))
99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
56.3%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
90.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
86.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
56.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
94.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
55.5%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
56.9%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
86.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
60.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
61.3%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z))
56.3%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
Compiler

Compiled 468 to 325 computations (30.6% saved)

simplify165.0ms (1.6%)

Memory
14.2MiB live, 89.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 y)
cost-diff0
(pow.f64 (sqrt.f64 y) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
cost-diff0
(*.f64 y z)
cost-diff0
(fma.f64 (*.f64 y z) z y)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z)
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)
cost-diff256
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x))
cost-diff6784
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
Rules
759×fma-define
330×associate-*r/
304×associate-*r*
184×distribute-lft-in
183×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035618
175576
2150570
3463564
41207554
51721554
61881554
72136554
82579554
92949554
103148554
113445554
123549554
133551554
143551554
153551554
163551554
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) z)
z
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(sqrt.f64 y)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
y
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
y
z
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(pow.f64 (sqrt.f64 y) #s(literal -2 binary64))
(sqrt.f64 y)
y
#s(literal -2 binary64)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) x))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 y) x)))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 x (sqrt.f64 y)) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (hypot.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) z)
z
x
(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
(sqrt.f64 y)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) y)) z)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) y)
y
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 z z) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y z) z y)
(fma.f64 y (*.f64 z z) y)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(*.f64 y z)
y
z
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
(/.f64 (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(pow.f64 (sqrt.f64 y) #s(literal -2 binary64))
(sqrt.f64 y)
y
#s(literal -2 binary64)

localize193.0ms (1.8%)

Memory
32.4MiB live, 265.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(sqrt.f64 y)
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
accuracy99.2%
(pow.f64 (sqrt.f64 y) #s(literal -2 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 y z)
accuracy99.9%
(fma.f64 (*.f64 y z) z y)
accuracy90.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy98.0%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z))
accuracy93.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z)
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x))
accuracy95.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)
Samples
155.0ms256×0valid
Compiler

Compiled 172 to 30 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-pow: 94.0ms (72.9% of total)
ival-div: 18.0ms (14% of total)
ival-mult: 8.0ms (6.2% of total)
ival-hypot: 5.0ms (3.9% of total)
ival-sqrt: 2.0ms (1.6% of total)
ival-add: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory
-15.6MiB live, 104.7MiB allocated
Counts
15 → 352
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))>
#<alt (fma.f64 (*.f64 y z) z y)>
#<alt (*.f64 y z)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))>
#<alt (pow.f64 (sqrt.f64 y) #s(literal -2 binary64))>
#<alt (sqrt.f64 y)>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
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#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

99 calls:

TimeVariablePointExpression
8.0ms
z
@inf
(/ (/ 1 x) (+ (* (* y z) z) y))
8.0ms
x
@0
(/ (/ 1 x) (+ (* (* y z) z) y))
4.0ms
y
@inf
(/ (/ (/ 1 y) x) z)
2.0ms
y
@0
(/ (/ 1 (* (/ 1 (/ (pow y -1/2) (sqrt (+ (* 1 1) (* z z))))) x)) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
1.0ms
y
@-inf
(/ (/ 1 x) (+ (* (* y z) z) y))

rewrite283.0ms (2.7%)

Memory
-9.3MiB live, 222.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
282×frac-times
232×log1p-expm1-u
232×expm1-log1p-u
229×add-exp-log
228×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035405
1589358
Stop Event
node limit
Counts
15 → 565
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 y) #s(literal -2 binary64))
(sqrt.f64 y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x))
(*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (/.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (sqrt.f64 y)) (/.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 y)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) x)))
(exp.f64 (neg.f64 (log.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) x)) #s(literal 1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))))

simplify473.0ms (4.5%)

Memory
5.9MiB live, 492.8MiB allocated
Algorithm
egg-herbie
Rules
673×times-frac
646×associate-*l/
492×associate-/r*
342×fma-define
286×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0118233466
1288631003
Stop Event
node limit
Counts
917 → 780
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) z)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) z)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) z)
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) z))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64)))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64)))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
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(exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
(sqrt.f64 y)

eval157.0ms (1.5%)

Memory
6.4MiB live, 274.0MiB allocated
Compiler

Compiled 16 314 to 2 726 computations (83.3% saved)

prune182.0ms (1.7%)

Memory
-17.2MiB live, 315.1MiB allocated
Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New9186924
Fresh6713
Picked145
Done022
Total92519944
Accuracy
100.0%
Counts
944 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
56.2%
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
55.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 z z))
59.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) z)
62.0%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z x) z))
56.3%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
90.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
86.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
56.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
55.2%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (*.f64 (neg.f64 z) z))
59.5%
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))))
56.9%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
86.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
60.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
61.2%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) z))
61.3%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z))
59.6%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))
56.3%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
Compiler

Compiled 390 to 267 computations (31.5% saved)

simplify30.0ms (0.3%)

Memory
10.6MiB live, 49.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
cost-diff0
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
cost-diff0
(*.f64 y z)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))
cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) z)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff0
(fma.f64 z z #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))
cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Rules
104×times-frac
63×associate-*r/
58×associate-*r*
46×fma-define
44×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028424
160418
2118418
3219418
4349418
5520418
6612418
7616418
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(fma.f64 z z #s(literal 1 binary64))
z
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y z)
y
z
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt.f64 x)
x
#s(literal -2 binary64)
y
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x)
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(fma.f64 z z #s(literal 1 binary64))
z
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y z)
y
z
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 #s(literal 1 binary64) (*.f64 z x))
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt.f64 x)
x
#s(literal -2 binary64)
y

localize79.0ms (0.8%)

Memory
15.6MiB live, 168.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
accuracy99.2%
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
accuracy95.8%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 y z)
accuracy98.0%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) z)
accuracy91.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy95.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))
accuracy90.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Samples
48.0ms256×0valid
Compiler

Compiled 119 to 23 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 14.0ms (54.7% of total)
ival-mult: 6.0ms (23.4% of total)
ival-sqrt: 2.0ms (7.8% of total)
ival-pow: 2.0ms (7.8% of total)
ival-add: 1.0ms (3.9% 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)

series20.0ms (0.2%)

Memory
6.5MiB live, 42.1MiB allocated
Counts
9 → 264
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) z)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))>
#<alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) z)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) z)>
#<alt (/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))>
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Calls

66 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(/ (/ (/ 1 x) (* y z)) z)
1.0ms
x
@-inf
(/ (pow (sqrt x) -2) y)
0.0ms
y
@-inf
(/ (/ 1 y) (+ (* z z) 1))
0.0ms
y
@0
(/ (/ 1 y) z)
0.0ms
z
@inf
(/ (/ 1 y) (+ (* z z) 1))

rewrite207.0ms (2%)

Memory
8.0MiB live, 171.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
645×log1p-expm1-u
277×frac-times
225×prod-diff
183×expm1-log1p-u
176×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028247
1447241
26643241
Stop Event
node limit
Counts
9 → 480
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)))) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 y x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y x))) #s(literal 1 binary64)))

simplify371.0ms (3.6%)

Memory
-8.0MiB live, 473.9MiB allocated
Algorithm
egg-herbie
Rules
497×times-frac
440×associate-*r*
423×*-commutative
371×associate-/l/
366×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090025447
1241324841
2726124773
Stop Event
node limit
Counts
744 → 587
Calls
Call 1
Inputs
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
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(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x))) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 z))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))) z) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 z x) (*.f64 y z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x))) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y z)) z))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z))) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) z))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) z))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) z))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 z)))
(pow.f64 (*.f64 y z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(exp.f64 (neg.f64 (log.f64 (*.f64 y z))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) z))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z x))) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64))
(pow.f64 (*.f64 z x) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) z))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 z x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 y x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (cbrt.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (cbrt.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (cbrt.f64 y))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x) (cbrt.f64 y))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (cbrt.f64 y))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x) (cbrt.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) x)))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (cbrt.f64 y))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x) (cbrt.f64 y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 y)))) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (cbrt.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (sqrt.f64 y))) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 y)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (cbrt.f64 y))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (cbrt.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) y) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(exp.f64 (neg.f64 (log.f64 (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))

eval181.0ms (1.7%)

Memory
-11.6MiB live, 184.9MiB allocated
Compiler

Compiled 12 377 to 2 232 computations (82% saved)

prune138.0ms (1.3%)

Memory
16.4MiB live, 295.9MiB allocated
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New8605865
Fresh538
Picked235
Done246
Total86915884
Accuracy
100.0%
Counts
884 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
56.2%
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
60.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 z x))
63.2%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x))) z)
90.8%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
62.0%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z x) z))
56.3%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
86.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
56.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
60.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) (*.f64 y z)))
63.5%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z x)) z))
56.9%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
60.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
56.3%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
Compiler

Compiled 669 to 249 computations (62.8% saved)

regimes230.0ms (2.2%)

Memory
-13.1MiB live, 179.6MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z x)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) (*.f64 y z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z x) z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x))) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 z x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (*.f64 (neg.f64 z) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) z))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (-.f64 y (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (-.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -4 binary64))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (cbrt.f64 x))) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
Calls

8 calls:

67.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
56.0ms
y
36.0ms
(*.f64 z z)
19.0ms
x
13.0ms
(/.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.5%1(/.f64 #s(literal 1 binary64) x)
99.5%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.5%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.5%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes184.0ms (1.8%)

Memory
-2.7MiB live, 193.3MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z x)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) (*.f64 y z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z x) z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x))) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 z x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (*.f64 (neg.f64 z) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) z))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (-.f64 y (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (-.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -4 binary64))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (cbrt.f64 x))) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
Calls

8 calls:

69.0ms
y
29.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
14.0ms
(*.f64 z z)
13.0ms
(/.f64 #s(literal 1 binary64) x)
12.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.5%1(/.f64 #s(literal 1 binary64) x)
99.5%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.5%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.5%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes166.0ms (1.6%)

Memory
-9.5MiB live, 161.2MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z x)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) (*.f64 y z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z x) z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x))) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 z x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (*.f64 (neg.f64 z) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal -2 binary64))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) z))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (-.f64 y (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (-.f64 y (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal -2 binary64))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))) #s(literal -4 binary64))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 y (cbrt.f64 x))) (fma.f64 z z #s(literal 1 binary64)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 z x))
Calls

8 calls:

64.0ms
z
25.0ms
y
22.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
12.0ms
(/.f64 #s(literal 1 binary64) x)
12.0ms
x
Results
AccuracySegmentsBranch
99.3%2z
94.8%1(/.f64 #s(literal 1 binary64) x)
99.3%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.3%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.3%2(*.f64 z z)
94.8%1x
98.1%2y
97.0%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes26.0ms (0.2%)

Memory
22.0MiB live, 61.3MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z x)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) (*.f64 y z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z x) z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x))) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 z x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (*.f64 (neg.f64 z) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z x)) z))
Calls

4 calls:

7.0ms
z
6.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
6.0ms
(*.f64 z z)
5.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
99.3%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.0%2z
99.0%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.0%2(*.f64 z z)
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes16.0ms (0.1%)

Memory
-1.6MiB live, 37.9MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z x)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) (*.f64 y z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z x) z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x))) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 z x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (*.f64 (neg.f64 z) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z x)) z))
Calls

3 calls:

6.0ms
z
5.0ms
y
4.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
70.3%3y
97.7%2z
97.7%2(*.f64 z z)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory
-15.0MiB live, 26.4MiB allocated
Accuracy

Total -0.5b remaining (-1.7%)

Threshold costs -0.5b (-1.7%)

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

4 calls:

3.0ms
x
2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
56.9%1y
56.9%1x
56.9%1(/.f64 #s(literal 1 binary64) x)
56.9%1z
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.329358928808833e+252
1.4604464158477612e+255
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.799948185588315e+307
+inf
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.3416267432692155e-6
211.46039734698905
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify5.0ms (0%)

Memory
10.4MiB live, 10.4MiB allocated
Algorithm
egg-herbie
Rules
*-commutative
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055449
170449
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(if (<=.f64 (*.f64 z z) #s(literal 9999999999999999363587069377675917736425707327570073564839440723358156278052707548893386994586947577981035182609405692455150664165314335743772262409420005560181719702721238568128862437403998276353831973920663150777435958293799716241167969694049028276224 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 z x)))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z x)) z)))
(if (<=.f64 (*.f64 z z) #s(literal 5902958103587057/1180591620717411303424 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z x)) z)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))) x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(if (<=.f64 (*.f64 z z) #s(literal 9999999999999999363587069377675917736425707327570073564839440723358156278052707548893386994586947577981035182609405692455150664165314335743772262409420005560181719702721238568128862437403998276353831973920663150777435958293799716241167969694049028276224 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 z x)))
(if (<=.f64 (*.f64 z z) #s(literal 9999999999999999363587069377675917736425707327570073564839440723358156278052707548893386994586947577981035182609405692455150664165314335743772262409420005560181719702721238568128862437403998276353831973920663150777435958293799716241167969694049028276224 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 z x)))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z x)) z)))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z x)))))
(if (<=.f64 (*.f64 z z) #s(literal 5902958103587057/1180591620717411303424 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z x)) z)))
(if (<=.f64 (*.f64 z z) #s(literal 5902958103587057/1180591620717411303424 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness2.2s (21.4%)

Memory
17.2MiB live, 1 570.1MiB allocated
Rules
1 198×fma-define
858×fmm-def
786×log1p-expm1-u
786×expm1-log1p-u
645×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106936463
1250334420
2782534414
034432
1559368
27738368
056317952
1127217670
2438017531
020198
1295198
23918198
028247
1447241
26643241
042485
1140429
2374429
31232429
42997429
55308429
66628429
76877429
86988429
97001429
107502429
117806429
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1 707 to 462 computations (72.9% saved)

preprocess88.0ms (0.8%)

Memory
-9.1MiB live, 304.9MiB allocated
Remove

(abs z)

Compiler

Compiled 1 024 to 536 computations (47.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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