Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

Time bar (total: 5.7s)

analyze26.0ms (0.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
68.8%68.7%31.2%0.1%0%0%0%6
78.1%78%21.9%0.1%0%0%0%7
82.8%82.7%17.2%0.1%0%0%0%8
88.3%88.2%11.7%0.1%0%0%0%9
91%90.9%9%0.1%0%0%0%10
93.9%93.9%6%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.0s (18.3%)

Results
584.0ms8254×0valid
0.0ms3valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 309.0ms
ival-div: 128.0ms (41.4% of total)
ival-mult: 73.0ms (23.6% of total)
ival-add: 51.0ms (16.5% of total)
ival-sub: 40.0ms (12.9% of total)
ival-true: 7.0ms (2.3% of total)
...in/eval/compile.rkt:70:19: 6.0ms (1.9% of total)
ival-assert: 5.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess100.0ms (1.7%)

Algorithm
egg-herbie
Rules
357×fma-define
297×fmm-def
72×associate-*l*
65×distribute-lft-neg-in
52×times-frac
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034333
174297
2147281
3300281
4692273
51351273
61709273
71827273
81846273
91858273
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)))))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))))))
(neg.f64 (-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64))))))
(-.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) #s(literal 2 binary64)))))
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y #s(literal 2 binary64))))))
(-.f64 x (/.f64 y (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y #s(literal 2 binary64))))))
(-.f64 x (/.f64 y (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))))
(-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))))))
(-.f64 (neg.f64 x) (/.f64 y (fma.f64 (neg.f64 x) (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (neg.f64 x) (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)))))
(-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))))))
(+.f64 x (/.f64 y (fma.f64 (neg.f64 x) (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))))))
(-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))))))
(+.f64 x (/.f64 y (fma.f64 (neg.f64 x) (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 (-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64))))))
(-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))))))
(-.f64 (neg.f64 x) (/.f64 y (fma.f64 (neg.f64 x) (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (neg.f64 x) (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(-.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) #s(literal 2 binary64)))))
(-.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y #s(literal 2 binary64))))))
(-.f64 y (/.f64 x (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 y (/.f64 x (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))

explain125.0ms (2.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-0-(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
00-0-(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
00-0-#s(literal 2 binary64)
00-0-y
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
49.0ms512×0valid
Compiler

Compiled 108 to 40 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 8.0ms (37.4% of total)
ival-div: 7.0ms (32.7% of total)
ival-sub: 3.0ms (14% of total)
ival-add: 3.0ms (14% of total)
ival-true: 1.0ms (4.7% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 33 to 18 computations (45.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify82.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
cost-diff-6272
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Rules
242×fmm-def
198×fma-define
112×associate-*l*
64×associate-*r*
55×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014144
126132
239132
357132
4101132
5186132
6385132
7525132
8778132
9991132
101194132
111234132
121400132
131433132
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
#s(literal 2 binary64)
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y #s(literal 2 binary64))))))
(-.f64 x (/.f64 y (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 x (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(+.f64 x (/.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y #s(literal 2 binary64)))))
(/.f64 y (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y #s(literal 2 binary64))))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x y)
#s(literal 2 binary64)

localize35.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x y)
accuracy87.5%
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
Results
25.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (52.7% of total)
ival-div: 4.0ms (30.1% of total)
ival-sub: 1.0ms (7.5% of total)
ival-add: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x y) #s(literal 2 binary64))>
#<alt (*.f64 x y)>
#<alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))>
#<alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))) y)>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))))))) y)>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64))))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))))>
#<alt (-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 x (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 x (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) y)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)))) y)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 y (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 y (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 x y))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 x y)))) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
Calls

30 calls:

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

rewrite319.0ms (5.6%)

Algorithm
batch-egg-rewrite
Rules
1028×log1p-expm1-u
1028×expm1-log1p-u
921×prod-diff
84×add-cube-cbrt
83×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014134
1190122
22786122
Stop Event
node limit
Counts
5 → 243
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
Outputs
(-.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (*.f64 y (neg.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 x (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 x (*.f64 (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (-.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (-.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (-.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (-.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (-.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (-.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (-.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
(+.f64 (fma.f64 x #s(literal 1 binary64) (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (sqrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 y) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
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(exp.f64 (log.f64 (-.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
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(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 y (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) (/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))

simplify337.0ms (5.9%)

Algorithm
egg-herbie
Rules
779×fmm-def
307×fma-define
231×+-commutative
212×*-commutative
210×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076122061
1209117769
2640217750
Stop Event
node limit
Counts
339 → 421
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))))))) y)
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64))))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))))
(-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 x (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 x (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 2 binary64) x)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 #s(literal 2 binary64) x)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) y)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)))) y)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
y
(+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 y (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 y (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 x y))) x)
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 x y)))) x)
(/.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(-.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (*.f64 y (neg.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 x (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 x (*.f64 (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (-.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (-.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 y (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (-.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
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(log1p.f64 (expm1.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) (/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) y)
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))) y)
(fma.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 y))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))))))) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))))))) y)
(fma.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x #s(literal 1/8 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) (neg.f64 y))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
x
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (neg.f64 y))
(-.f64 x y)
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64))))
(+.f64 x (*.f64 y (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))))
(+.f64 x (*.f64 y (fma.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal -1/4 binary64)))) #s(literal -1 binary64)) x)
(-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(-.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x))
(-.f64 (+.f64 x (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 x (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) (/.f64 #s(literal 2 binary64) x)))
(-.f64 (+.f64 x (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (+.f64 (+.f64 x (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x)) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(-.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
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(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))

eval78.0ms (1.4%)

Compiler

Compiled 11547 to 1582 computations (86.3% saved)

prune57.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4156421
Fresh000
Picked011
Done000
Total4157422
Accuracy
100.0%
Counts
422 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
66.7%
(-.f64 x (/.f64 #s(literal 2 binary64) x))
82.2%
(-.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
60.9%
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
71.4%
(-.f64 x y)
23.7%
(neg.f64 y)
62.5%
x
Compiler

Compiled 123 to 85 computations (30.9% saved)

simplify149.0ms (2.6%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
(-.f64 x (/.f64 #s(literal 2 binary64) x))
cost-diff0
(-.f64 x y)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
cost-diff0
(*.f64 x y)
cost-diff0
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
Rules
1653×fma-define
676×distribute-rgt-in
562×distribute-lft-in
340×associate-*r*
340×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026414
161414
2166386
3601382
42507382
54463382
65065382
75271382
85307382
95324382
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
x
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
y
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(neg.f64 y)
y
(-.f64 x y)
x
y
(-.f64 x (/.f64 #s(literal 2 binary64) x))
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
(-.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(-.f64 x (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) x)
x
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 y (/.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(*.f64 y (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))))
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 y (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
y
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(neg.f64 y)
y
(-.f64 x y)
x
y
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize89.0ms (1.5%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
accuracy100.0%
(-.f64 x (/.f64 #s(literal 2 binary64) x))
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
accuracy99.7%
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy93.5%
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
accuracy77.1%
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
Results
57.0ms256×0valid
Compiler

Compiled 117 to 22 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sub: 17.0ms (49.9% of total)
ival-mult: 8.0ms (23.5% of total)
ival-div: 4.0ms (11.7% of total)
ival-pow: 3.0ms (8.8% of total)
ival-neg: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Counts
10 → 189
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 x y) #s(literal 2 binary64))>
#<alt (*.f64 x (*.f64 y #s(literal 1/2 binary64)))>
#<alt (neg.f64 y)>
#<alt (-.f64 x y)>
#<alt (-.f64 x (/.f64 #s(literal 2 binary64) x))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))>
#<alt (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))>
Outputs
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x 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) 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 x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (/.f64 #s(literal -2 binary64) x)>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x)>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x)>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x)>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) y)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)))) y)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 x y))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 x y)))) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 64 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64)))))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))) y))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))))>
#<alt (+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))) (*.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x y))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
Calls

51 calls:

TimeVariablePointExpression
2.0ms
y
@0
(* (pow (* x y) 2) 1/4)
1.0ms
x
@0
(* (pow (* x y) 2) 1/4)
1.0ms
y
@inf
(/ y (- 1 (* (pow (* x y) 2) 1/4)))
1.0ms
y
@-inf
(/ y (- 1 (* (pow (* x y) 2) 1/4)))
1.0ms
x
@inf
(/ y (- 1 (* (pow (* x y) 2) 1/4)))

rewrite349.0ms (6.1%)

Algorithm
batch-egg-rewrite
Rules
1158×log1p-expm1-u
347×expm1-log1p-u
170×pow1
170×add-cube-cbrt
169×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025248
1382244
25698244
Stop Event
node limit
Counts
10 → 302
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(neg.f64 y)
(-.f64 x y)
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
Outputs
(-.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))
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(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (-.f64 (log.f64 y) (log1p.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(exp.f64 (log1p.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)))

simplify562.0ms (9.8%)

Algorithm
egg-herbie
Rules
685×associate-*r*
646×associate-*l*
562×fma-define
305×distribute-lft-in
304×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088117540
1222916580
Stop Event
node limit
Counts
491 → 536
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) y)
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(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
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(*.f64 #s(literal -1 binary64) y)
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(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(/.f64 #s(literal -2 binary64) x)
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x)
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x)
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x)
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 #s(literal 2 binary64) x)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 #s(literal 2 binary64) x)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) y)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)))) y)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
y
(+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))))))
(+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(/.f64 #s(literal 2 binary64) x)
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(pow.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(exp.f64 (+.f64 (-.f64 (log.f64 y) (log1p.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (+.f64 (-.f64 (log.f64 y) (log1p.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) y)
(*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 y (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (-.f64 (log.f64 y) (log1p.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(exp.f64 (log1p.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))

eval202.0ms (3.5%)

Compiler

Compiled 11780 to 2274 computations (80.7% saved)

prune141.0ms (2.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New5493552
Fresh011
Picked145
Done011
Total5509559
Accuracy
100.0%
Counts
559 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.3%
(/.f64 #s(literal -2 binary64) x)
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
66.7%
(-.f64 x (/.f64 #s(literal 2 binary64) x))
78.7%
(-.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
60.9%
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
71.4%
(-.f64 x y)
49.9%
(+.f64 y x)
23.7%
(neg.f64 y)
62.5%
x
Compiler

Compiled 80 to 54 computations (32.5% saved)

simplify200.0ms (3.5%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) y)
cost-diff0
(*.f64 (*.f64 (*.f64 x y) y) x)
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64))
cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))
cost-diff-6272
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
cost-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal -1/2 binary64)) y)
cost-diff0
(+.f64 y x)
Rules
1831×fma-define
493×distribute-rgt-in
432×distribute-lft-in
376×fmm-def
352×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030613
185589
2254573
3918565
42460565
54794565
65548565
75752565
85772565
95778565
107320565
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 y x)
y
x
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
y
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))
#s(literal 1 binary64)
(*.f64 (*.f64 x #s(literal -1/2 binary64)) y)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
x
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64))))
y
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x y) y) x)
(*.f64 (*.f64 x y) y)
(*.f64 x y)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
Outputs
(+.f64 y x)
y
x
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(-.f64 x (*.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 x (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 x #s(literal -1/2 binary64)) y)
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x (*.f64 y #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(-.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(-.f64 x (*.f64 y (/.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal -1/4 binary64))))))
(-.f64 x (*.f64 (/.f64 y (fma.f64 (*.f64 y (*.f64 y x)) (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 y (/.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(fma.f64 y (/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1 binary64))) x)
x
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 y (/.f64 (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal -1/4 binary64)))))
(*.f64 (/.f64 y (fma.f64 (*.f64 y (*.f64 y x)) (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y (fma.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1 binary64))) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 y (/.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1 binary64))))
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64))))
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal -1/4 binary64))))
(/.f64 y (fma.f64 (*.f64 y (*.f64 y x)) (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(/.f64 y (fma.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
y
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 y (*.f64 y x)) (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64))
(*.f64 (*.f64 y (*.f64 y x)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x (*.f64 (*.f64 y y) (*.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(*.f64 y (*.f64 (*.f64 y x) (*.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 x y) y) x)
(*.f64 x (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 x (*.f64 y x)))
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 (*.f64 x y) y)
(*.f64 y (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x

localize187.0ms (3.3%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal -2 binary64) x)
accuracy99.8%
(*.f64 (*.f64 x y) y)
accuracy93.5%
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64))))
accuracy93.3%
(*.f64 (*.f64 (*.f64 x y) y) x)
accuracy77.1%
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
accuracy100.0%
(*.f64 (*.f64 x #s(literal -1/2 binary64)) y)
accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))
accuracy99.9%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
accuracy100.0%
(+.f64 y x)
Results
150.0ms256×0valid
Compiler

Compiled 163 to 27 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 15.0ms (55% of total)
ival-sub: 4.0ms (14.7% of total)
ival-div: 4.0ms (14.7% of total)
ival-add: 3.0ms (11% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Counts
11 → 228
Calls
Call 1
Inputs
#<alt (+.f64 y x)>
#<alt (*.f64 (*.f64 x #s(literal -1/2 binary64)) y)>
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))>
#<alt (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64))>
#<alt (*.f64 (*.f64 (*.f64 x y) y) x)>
#<alt (*.f64 (*.f64 x y) y)>
#<alt (/.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))>
#<alt (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64))))>
Outputs
#<alt x>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 64 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64)))))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))) y))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))))>
#<alt (+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))) (*.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* y (+ 1 (* (* x -1/2) y)))
2.0ms
y
@0
(* (* x y) y)
0.0ms
y
@-inf
(* y (+ 1 (* (* x -1/2) y)))
0.0ms
x
@-inf
(* x -1/2)
0.0ms
x
@0
(/ -2 x)

rewrite225.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
951×log1p-expm1-u
227×associate-*r*
204×expm1-log1p-u
203×add-cube-cbrt
201×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028335
1449272
26710272
Stop Event
node limit
Counts
11 → 289
Calls
Call 1
Inputs
(+.f64 y x)
(*.f64 (*.f64 x #s(literal -1/2 binary64)) y)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x y) y) x)
(*.f64 (*.f64 x y) y)
(/.f64 #s(literal -2 binary64) x)
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y x))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 y x)))
(exp.f64 (log.f64 (+.f64 y x)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(-.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 y (*.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 y (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 y (*.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (-.f64 y (*.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(pow.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
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(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(exp.f64 (-.f64 (log.f64 y) (log1p.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 1 binary64)))

simplify366.0ms (6.4%)

Algorithm
egg-herbie
Rules
679×fmm-def
458×associate-*r*
431×associate-*l*
379×fma-define
300×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088519494
1222517978
2765817894
Stop Event
node limit
Counts
517 → 500
Calls
Call 1
Inputs
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
y
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
y
(+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
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(*.f64 x (pow.f64 y #s(literal 2 binary64)))
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(*.f64 x (pow.f64 y #s(literal 2 binary64)))
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(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))
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(/.f64 #s(literal 2 binary64) x)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 #s(literal 2 binary64) x)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) y)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)))) y)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
y
(+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))))))
(+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 x y))) x)
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 x y)))) x)
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(/.f64 (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (neg.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (neg.f64 y) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(pow.f64 (*.f64 y (/.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))))
(exp.f64 (-.f64 (log.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) (/.f64 y (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(exp.f64 (-.f64 (log.f64 y) (log1p.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
Outputs
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 y))
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(/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))))
(/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64))))
(/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 y) (log1p.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))

eval108.0ms (1.9%)

Compiler

Compiled 11155 to 2399 computations (78.5% saved)

prune75.0ms (1.3%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New5151516
Fresh000
Picked134
Done055
Total5169525
Accuracy
100.0%
Counts
525 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.3%
(/.f64 #s(literal -2 binary64) x)
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
66.7%
(-.f64 x (/.f64 #s(literal 2 binary64) x))
78.7%
(-.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
60.9%
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
71.4%
(-.f64 x y)
23.7%
(neg.f64 y)
3.3%
y
62.5%
x
Compiler

Compiled 78 to 53 computations (32.1% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
Stop Event
saturated
Calls
Call 1
Inputs
y
Outputs
y

localize11.0ms (0.2%)

Results
5.0ms256×0valid
Compiler

Compiled 3 to 4 computations (-33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done088
Total099
Accuracy
100.0%
Counts
9 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.3%
(/.f64 #s(literal -2 binary64) x)
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
66.7%
(-.f64 x (/.f64 #s(literal 2 binary64) x))
78.7%
(-.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
60.9%
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
71.4%
(-.f64 x y)
23.7%
(neg.f64 y)
3.3%
y
62.5%
x
Compiler

Compiled 164 to 93 computations (43.3% saved)

regimes27.0ms (0.5%)

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

3 calls:

18.0ms
x
4.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
x
y
(neg.f64 y)
(+.f64 y x)
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
Outputs
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 x y)
(-.f64 x (/.f64 #s(literal 2 binary64) x))
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
86.1%3x
93.2%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes146.0ms (2.6%)

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

2 calls:

143.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
85.9%4x
82.2%4y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
5 → 3
Calls
Call 1
Inputs
x
y
(neg.f64 y)
(+.f64 y x)
(-.f64 x y)
Outputs
x
(-.f64 x y)
x
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
83.9%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
x
y
(neg.f64 y)
(+.f64 y x)
Outputs
x
(neg.f64 y)
x
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
62.5%1y
79.0%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -38.2b remaining (-159.1%)

Threshold costs -38.2b (-159.1%)

Counts
2 → 1
Calls
Call 1
Inputs
x
y
Outputs
x
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
62.5%1y
62.5%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch33.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
6.538105711621118e+84
1.1791225859972493e+98
14.0ms
-1.1494292765507548e+51
-4.2449370044508973e+43
Results
19.0ms304×0valid
Compiler

Compiled 282 to 204 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (38.7% of total)
ival-mult: 3.0ms (29% of total)
ival-sub: 2.0ms (19.3% of total)
ival-add: 2.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch52.0ms (0.9%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
1.4269892700557948e-10
290470.46391945565
12.0ms
2.1566882994978075e-72
8.900713065902967e-70
31.0ms
-36776.694444530054
-1.6533995317332988
Results
20.0ms320×0valid
Compiler

Compiled 232 to 174 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (37.1% of total)
ival-mult: 3.0ms (27.8% of total)
ival-sub: 2.0ms (18.5% of total)
ival-add: 2.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.4269892700557948e-10
290470.46391945565
15.0ms
-36776.694444530054
-1.6533995317332988
Results
21.0ms288×0valid
Compiler

Compiled 196 to 140 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 7.0ms (55.1% of total)
ival-mult: 3.0ms (23.6% of total)
ival-sub: 1.0ms (7.9% of total)
ival-add: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7.048816282995869e-99
8.828464702353569e-94
12.0ms
-2.419793223576395e-161
-5.5594848032919186e-164
Results
17.0ms272×0valid
Compiler

Compiled 169 to 133 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (42.6% of total)
ival-mult: 2.0ms (21.3% of total)
ival-sub: 1.0ms (10.6% of total)
ival-add: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
27×unsub-neg
25×neg-mul-1
13×+-commutative
12×sub-neg
11×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049262
175262
291262
3106262
4123262
5140262
6176262
7235262
8237262
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(if (<=.f64 y #s(literal -134999999999999999915595568404392197387210052337664 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 13500000000000000643489553776017109701204452391195134635823938488857858993739487001664435519488 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) x (if (<=.f64 x #s(literal 8858570148549325/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (-.f64 x y) (if (<=.f64 x #s(literal 7737125245533627/38685626227668133590597632 binary64)) (/.f64 #s(literal -2 binary64) x) x)))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) x (if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 x y) x))
(if (<=.f64 x #s(literal -6078391946603017/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) x (if (<=.f64 x #s(literal 1370797334713431/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (neg.f64 y) x))
x
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(if (<=.f64 y #s(literal -134999999999999999915595568404392197387210052337664 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 13500000000000000643489553776017109701204452391195134635823938488857858993739487001664435519488 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (or (<=.f64 y #s(literal -134999999999999999915595568404392197387210052337664 binary64)) (not (<=.f64 y #s(literal 13500000000000000643489553776017109701204452391195134635823938488857858993739487001664435519488 binary64)))) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) x (if (<=.f64 x #s(literal 8858570148549325/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (-.f64 x y) (if (<=.f64 x #s(literal 7737125245533627/38685626227668133590597632 binary64)) (/.f64 #s(literal -2 binary64) x) x)))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) x (if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 x y) x))
(if (<=.f64 x #s(literal -6078391946603017/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) x (if (<=.f64 x #s(literal 1370797334713431/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (neg.f64 y) x))
x

soundness392.0ms (6.9%)

Rules
779×fmm-def
307×fma-define
231×+-commutative
212×*-commutative
210×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076122061
1209117769
2640217750
Stop Event
done
node limit
Compiler

Compiled 118 to 66 computations (44.1% saved)

preprocess40.0ms (0.7%)

Compiler

Compiled 178 to 100 computations (43.8% saved)

end0.0ms (0%)

Profiling

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