Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

Time bar (total: 2.9s)

analyze13.0ms (0.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 6 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 3.0ms (78.6% of total)
ival-div: 1.0ms (26.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (38.3%)

Results
842.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 410.0ms
ival-add: 302.0ms (73.6% of total)
ival-div: 99.0ms (24.1% of total)
const: 7.0ms (1.7% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess234.0ms (8%)

Algorithm
1×egg-herbie
Rules
981×fma-neg
501×times-frac
486×div-sub
474×distribute-lft-in
444×distribute-rgt-in
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
023220
150196
2119196
3340184
41369162
53017151
64389151
75089147
85561147
95865147
106107147
116577147
126783147
136787147
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 (neg.f64 x) y) (+.f64 y y))
(/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (+.f64 y y)))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) (neg.f64 y))))
(/.f64 (+.f64 y x) (+.f64 x x))
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) y))
(/.f64 (+.f64 x y) (*.f64 y #s(literal 2 binary64)))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) y))
(/.f64 (+.f64 x y) (*.f64 y #s(literal 2 binary64)))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 (+.f64 (neg.f64 x) y) (+.f64 y y))
(/.f64 (+.f64 y (neg.f64 x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 y x) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 x y) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (+.f64 y (neg.f64 x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 y x) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 x y) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (+.f64 y y)))
(/.f64 (+.f64 y (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 y x) (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x y) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) (neg.f64 y))))
(/.f64 (+.f64 y (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 y x) (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x y) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(/.f64 (+.f64 y x) (+.f64 x x))
(/.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) x))
(-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))

explain86.0ms (3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 x y)
00-0-(/.f64 (+.f64 x y) (+.f64 y y))
00-0-y
00-0-(+.f64 y y)
Results
70.0ms512×0valid
Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 6.0ms (56.5% of total)
ival-div: 4.0ms (37.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 29 to 14 computations (51.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
▶99.9%
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize60.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y y)
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 (+.f64 x y) (+.f64 y y))
✓cost-diff-6272
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
✓accuracy99.7%
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
Rules
5×*-commutative
4×fma-neg
3×1-exp
3×+-commutative
2×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015119
126119
233119
337119
439119
543119
650119
752119
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(literal -1/2 binary64)
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
x
y
(+.f64 y y)
Outputs
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(literal -1/2 binary64)
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) y)
(/.f64 (+.f64 x y) (*.f64 y #s(literal 2 binary64)))
(+.f64 x y)
x
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
Results
26.0ms256×0valid
Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (36.9% of total)
ival-add: 3.0ms (27.7% of total)
ival-mult: 2.0ms (18.4% of total)
ival-sub: 1.0ms (9.2% of total)
const: 1.0ms (9.2% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.6%)

Counts
6 → 102
Calls
Call 1
Inputs
#<alt (*.f64 x (/.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (+.f64 x y) (+.f64 y y))>
#<alt (+.f64 x y)>
#<alt (+.f64 y y)>
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 #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1/2 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) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1/2 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) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<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 (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
Calls

30 calls:

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

rewrite338.0ms (11.6%)

Algorithm
1×batch-egg-rewrite
Rules
1012×log1p-expm1-u
1012×expm1-log1p-u
705×prod-diff
100×add-cube-cbrt
98×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015101
121586
2344486
Stop Event
1×node limit
Counts
6 → 286
Calls
Call 1
Inputs
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
(+.f64 y y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(/.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(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 (exp.f64 (+.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)))
(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)))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(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 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 y) (+.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (+.f64 (cbrt.f64 y) (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) (*.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) y)
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) y)
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 #s(literal -1/4 binary64) (*.f64 y (neg.f64 y)))
(/.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (cbrt.f64 #s(literal -1/2 binary64)) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)

simplify63.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
77×*-commutative
31×associate-*r/
23×associate-*l/
19×+-commutative
17×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04655133
113555133
Stop Event
1×unsound
Counts
388 → 299
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))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1/2 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) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1/2 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) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
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))))
x
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))))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(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 (exp.f64 (+.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)))
(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)))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(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 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 y) (+.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (+.f64 (cbrt.f64 y) (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) (*.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) y)
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) y)
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 #s(literal -1/4 binary64) (*.f64 y (neg.f64 y)))
(/.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (cbrt.f64 #s(literal -1/2 binary64)) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)
(/.f64 #s(literal -2 binary64) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)
(/.f64 #s(literal -2 binary64) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)
(/.f64 #s(literal -2 binary64) y)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64))
#s(literal -2 binary64)
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -2 binary64) y)
(*.f64 y #s(literal 2 binary64))
y
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 #s(literal -2 binary64) y)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 (cbrt.f64 y) (+.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 y) (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (+.f64 (cbrt.f64 y) (cbrt.f64 y)))
(*.f64 (cbrt.f64 y) (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (/.f64 (cbrt.f64 y) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
#s(literal -2 binary64)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
y
(*.f64 #s(literal 2 binary64) (neg.f64 y))
y
(*.f64 #s(literal 2 binary64) (*.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
y
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 #s(literal -2 binary64) (cbrt.f64 y))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -2 binary64) (cbrt.f64 (/.f64 #s(literal -2 binary64) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 y))
(*.f64 #s(literal -2 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) y)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) y)
y
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) y)
y
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -2 binary64) y)
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
#s(literal -2 binary64)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal -2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y))
(/.f64 #s(literal -2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -2 binary64) y)
(/.f64 y #s(literal 1/2 binary64))
y
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal -2 binary64) y)
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -2 binary64) y)
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 y)))
(/.f64 #s(literal -2 binary64) y)
(/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
#s(literal -2 binary64)
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
y
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
#s(literal -2 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal -2 binary64)
(/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal -1/4 binary64) (*.f64 y (neg.f64 y)))
(/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 y))
(/.f64 #s(literal -2 binary64) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal -2 binary64) (cbrt.f64 (fma.f64 y y #s(literal -2 binary64))))
(/.f64 (cbrt.f64 #s(literal -1/2 binary64)) (cbrt.f64 (neg.f64 y)))
(/.f64 #s(literal -2 binary64) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
#s(literal -2 binary64)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 y))
(/.f64 #s(literal -2 binary64) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 y y #s(literal -2 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 y)))
(/.f64 #s(literal -2 binary64) (sqrt.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
#s(literal -2 binary64)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
#s(literal -2 binary64)
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal -2 binary64) y)
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 #s(literal -2 binary64) y)
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) y)
(/.f64 #s(literal -2 binary64) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 y))
(/.f64 #s(literal -2 binary64) y)
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 #s(literal -2 binary64) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
#s(literal -2 binary64)
(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -2 binary64) y)
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
#s(literal -2 binary64)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
#s(literal -2 binary64)
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(hypot.f64 (sqrt.f64 y) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
#s(literal -2 binary64)
(fma.f64 #s(literal 1 binary64) y y)
y
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (cbrt.f64 y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)

eval34.0ms (1.2%)

Compiler

Compiled 3395 to 831 computations (75.5% saved)

prune55.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2954299
Fresh000
Picked022
Done000
Total2956301
Accuracy
100.0%
Counts
301 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
▶49.8%
(/.f64 x (+.f64 y y))
▶3.4%
(/.f64 #s(literal -2 binary64) y)
✓99.9%
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
▶52.1%
#s(literal 1/2 binary64)
▶2.1%
#s(literal -2 binary64)
Compiler

Compiled 36 to 26 computations (27.8% saved)

localize36.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y y)
✓cost-diff0
(/.f64 x (+.f64 y y))
✓cost-diff0
(/.f64 #s(literal -2 binary64) y)
✓accuracy100.0%
(/.f64 x (+.f64 y y))
accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) y)
Rules
2×associate-/r*
1×*-commutative
1×count-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
11454
21754
31954
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
(/.f64 x (+.f64 y y))
x
(+.f64 y y)
y
Outputs
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
(/.f64 x (+.f64 y y))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
y
Results
20.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (58.5% of total)
ival-add: 2.0ms (29.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal -2 binary64) y)>
#<alt (/.f64 x (+.f64 y y))>
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))>
Calls

9 calls:

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

rewrite76.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
562×log1p-expm1-u
562×expm1-log1p-u
548×unpow-prod-down
289×log-prod
208×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
112720
2194320
Stop Event
1×node limit
Counts
2 → 84
Calls
Call 1
Inputs
(/.f64 #s(literal -2 binary64) y)
(/.f64 x (+.f64 y y))
Outputs
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -8/3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -5/3 binary64)
#s(literal -3/2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 8/3 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -8/3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -5/3 binary64)
#s(literal -3/2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 8/3 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)

simplify16.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
3×1-exp
3×*-commutative
1×associate-/l*
1×associate-*l/
1×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051540
159540
261540
363540
464540
Stop Event
1×saturated
Counts
108 → 43
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))
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -8/3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -5/3 binary64)
#s(literal -3/2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 8/3 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -8/3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -5/3 binary64)
#s(literal -3/2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 8/3 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
Outputs
(*.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))
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -8/3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -5/3 binary64)
#s(literal -3/2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 8/3 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -8/3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -5/3 binary64)
#s(literal -3/2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 8/3 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)

eval10.0ms (0.4%)

Compiler

Compiled 539 to 202 computations (62.5% saved)

prune20.0ms (0.7%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New90494
Fresh000
Picked134
Done022
Total919100
Accuracy
100.0%
Counts
100 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
✓49.8%
(/.f64 x (+.f64 y y))
✓3.4%
(/.f64 #s(literal -2 binary64) y)
✓99.9%
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
▶9.0%
#s(literal 64 binary64)
▶9.4%
#s(literal 16 binary64)
▶10.4%
#s(literal 7/3 binary64)
✓52.1%
#s(literal 1/2 binary64)
▶2.1%
#s(literal -8 binary64)
Compiler

Compiled 45 to 35 computations (22.2% saved)

localize19.0ms (0.7%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(literal -8 binary64)
#s(literal 7/3 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
Outputs
#s(literal -8 binary64)
#s(literal 7/3 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
Results
8.0ms256×0valid
Compiler

Compiled 7 to 7 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
const: 1.0ms (140.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.2%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New000
Fresh000
Picked044
Done055
Total099
Accuracy
100.0%
Counts
9 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
✓49.8%
(/.f64 x (+.f64 y y))
✓3.4%
(/.f64 #s(literal -2 binary64) y)
✓99.9%
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
✓9.0%
#s(literal 64 binary64)
✓9.4%
#s(literal 16 binary64)
✓10.4%
#s(literal 7/3 binary64)
✓52.1%
#s(literal 1/2 binary64)
✓2.1%
#s(literal -8 binary64)
Compiler

Compiled 75 to 52 computations (30.7% saved)

regimes12.0ms (0.4%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(literal 7/3 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
(/.f64 #s(literal -2 binary64) y)
(/.f64 x (+.f64 y y))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(/.f64 (+.f64 x y) (+.f64 y y))
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
Calls

3 calls:

4.0ms
y
4.0ms
x
3.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0.3%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(literal 7/3 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
(/.f64 #s(literal -2 binary64) y)
(/.f64 x (+.f64 y y))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
Outputs
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
Calls

2 calls:

4.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.3%)

Counts
8 → 3
Calls
Call 1
Inputs
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(literal 7/3 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
(/.f64 #s(literal -2 binary64) y)
(/.f64 x (+.f64 y y))
Outputs
(/.f64 x (+.f64 y y))
#s(literal 1/2 binary64)
(/.f64 x (+.f64 y y))
Calls

2 calls:

5.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
78.6%3x
78.6%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(literal 7/3 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
(/.f64 #s(literal -2 binary64) y)
Outputs
#s(literal 1/2 binary64)
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
52.1%1y
52.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -8 binary64)
#s(literal -2 binary64)
Outputs
#s(literal -8 binary64)
Calls

2 calls:

2.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
2.1%1x
2.1%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch18.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
506.3286309793273
30699258.437734455
7.0ms
-2.079265973845766e-99
-6.070906234710551e-100
Results
10.0ms208×0valid
Compiler

Compiled 170 to 126 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (48.8% of total)
ival-add: 2.0ms (48.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify5.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
026112
136112
241112
343112
444112
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(if (<=.f64 x #s(literal -2462625387274655/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 x (+.f64 y y)) (if (<=.f64 x #s(literal 12500 binary64)) #s(literal 1/2 binary64) (/.f64 x (+.f64 y y))))
#s(literal 1/2 binary64)
#s(literal -8 binary64)
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(if (<=.f64 x #s(literal -2462625387274655/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 x (+.f64 y y)) (if (<=.f64 x #s(literal 12500 binary64)) #s(literal 1/2 binary64) (/.f64 x (+.f64 y y))))
(if (or (<=.f64 x #s(literal -2462625387274655/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (not (<=.f64 x #s(literal 12500 binary64)))) (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -8 binary64)

soundness603.0ms (20.7%)

Rules
981×fma-neg
562×log1p-expm1-u
562×expm1-log1p-u
548×unpow-prod-down
501×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
112720
2194320
04655133
113555133
023220
150196
2119196
3340184
41369162
53017151
64389151
75089147
85561147
95865147
106107147
116577147
126783147
136787147
Stop Event
1×done
1×saturated
1×unsound
1×node limit
Compiler

Compiled 204 to 88 computations (56.9% saved)

preprocess44.0ms (1.5%)

Compiler

Compiled 102 to 60 computations (41.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...