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

Time bar (total: 4.3s)

analyze14.0ms (0.3%)

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: 5.0ms
ival-div: 3.0ms (55.4% of total)
ival-add: 2.0ms (36.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample919.0ms (21.6%)

Results
697.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 240.0ms
ival-add: 157.0ms (65.4% of total)
ival-div: 73.0ms (30.4% of total)
const: 7.0ms (2.9% of total)
backward-pass: 3.0ms (1.3% of total)
Bogosity

preprocess374.0ms (8.8%)

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))

explain45.0ms (1.1%)

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
30.0ms512×0valid
Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 5.0ms (49.8% of total)
ival-div: 4.0ms (39.9% 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))
▶99.8%
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize120.0ms (2.8%)

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))
✓accuracy99.6%
(*.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: 12.0ms
ival-div: 6.0ms (49.2% of total)
ival-add: 3.0ms (24.6% of total)
ival-mult: 2.0ms (16.4% of total)
ival-sub: 1.0ms (8.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.4%)

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 y) (+ y y))
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))

rewrite287.0ms (6.7%)

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)

simplify307.0ms (7.2%)

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)

eval30.0ms (0.7%)

Compiler

Compiled 3395 to 831 computations (75.5% saved)

prune41.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2945299
Fresh000
Picked202
Done000
Total2965301
Accuracy
100.0%
Counts
301 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.4%
(/.f64 x (+.f64 y y))
▶4.0%
(/.f64 #s(literal -2 binary64) y)
▶100.0%
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))
▶51.0%
#s(literal 1/2 binary64)
▶2.3%
#s(literal -2 binary64)
Compiler

Compiled 54 to 42 computations (22.2% saved)

localize197.0ms (4.6%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
016118
124114
233114
337114
441114
548114
650114
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
#s(literal -1/2 binary64)
#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
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 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 #s(literal 1/2 binary64)) y)
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
#s(literal -1/2 binary64)
#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 (/.f64 x #s(literal 2 binary64)) y)
x
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
y
Results
29.0ms256×0valid
Compiler

Compiled 39 to 12 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 6.0ms (54.7% of total)
ival-mult: 2.0ms (18.2% of total)
ival-sub: 1.0ms (9.1% of total)
ival-add: 1.0ms (9.1% of total)
const: 1.0ms (9.1% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.2%)

Counts
5 → 84
Calls
Call 1
Inputs
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))>
#<alt (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)>
#<alt (/.f64 #s(literal -2 binary64) y)>
#<alt (/.f64 x (+.f64 y y))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<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 (*.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 1/2 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

24 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x 1/2)
0.0ms
y
@0
(/ -2 y)
0.0ms
x
@-inf
(* x 1/2)
0.0ms
x
@0
(* x 1/2)
0.0ms
y
@inf
(/ -2 y)

rewrite130.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
954×log1p-expm1-u
954×expm1-log1p-u
268×prod-diff
193×fma-neg
179×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01683
120970
2323470
Stop Event
1×node limit
Counts
5 → 217
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 #s(literal -2 binary64) y)
(/.f64 x (+.f64 y y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 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 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 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 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/4 binary64)) (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 y)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 y)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 y)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))
(-.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 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) #s(literal -1 binary64))
(neg.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -2 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal -2 binary64) y)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal -2 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) y)) (sqrt.f64 (/.f64 #s(literal -2 binary64) y)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 2 binary64) y))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal -2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -2 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -2 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -2 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal -2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)))
(-.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 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) #s(literal -1 binary64))
(neg.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)))

simplify49.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
52×*-commutative
45×fma-undefine
30×associate-*r/
24×associate-*l/
12×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03184059
19764059
Stop Event
1×unsound
Counts
301 → 203
Calls
Call 1
Inputs
(*.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)
#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)))
(*.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))
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(pow.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) #s(literal -1 binary64))
(neg.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -2 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal -2 binary64) y)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal -2 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) y)) (sqrt.f64 (/.f64 #s(literal -2 binary64) y)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 2 binary64) y))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal -2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -2 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -2 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -2 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal -2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)))
(-.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 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) #s(literal -1 binary64))
(neg.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.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 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.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 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.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 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 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 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.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 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.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 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) y)
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) y)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
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(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
#s(literal -1 binary64)
(pow.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
#s(literal -1 binary64)
(pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64))
#s(literal -1 binary64)
(pow.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -1 binary64)
(neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(/.f64 #s(literal -1 binary64) y)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -1 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
#s(literal -1 binary64)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -1 binary64)
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
#s(literal -1 binary64)
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
#s(literal -1 binary64)
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
#s(literal -1 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)))
#s(literal -1 binary64)

eval62.0ms (1.4%)

Compiler

Compiled 2660 to 605 computations (77.3% saved)

prune38.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2531254
Fresh000
Picked055
Done000
Total2536259
Accuracy
100.0%
Counts
259 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.4%
(/.f64 x (+.f64 y y))
▶3.7%
(/.f64 #s(literal -1 binary64) y)
✓4.0%
(/.f64 #s(literal -2 binary64) y)
✓100.0%
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))
✓51.0%
#s(literal 1/2 binary64)
✓2.3%
#s(literal -2 binary64)
Compiler

Compiled 32 to 25 computations (21.9% saved)

localize22.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -1 binary64) y)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
Outputs
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
Results
10.0ms256×0valid
Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 2.0ms (73.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 0
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal -1 binary64) y)>
Outputs
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/ -1 y)
0.0ms
y
@inf
(/ -1 y)
0.0ms
y
@-inf
(/ -1 y)

rewrite62.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
507×frac-times
271×associate-*r*
221×times-frac
219×associate-*l*
213×log1p-expm1-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0710
15210
26144
Stop Event
1×node limit
Counts
1 → 89
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) y)
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (neg.f64 (cbrt.f64 y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y (log.f64 (E.f64)))
(*.f64 y (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (*.f64 (pow.f64 y #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) y)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) y)
(*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) y)
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 y)) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) y)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) y)
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 y))
(*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 y))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (cbrt.f64 y))
(*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 y #s(literal 1/6 binary64))) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/6 binary64))) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 y))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal -3 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -2 binary64))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (E.f64) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))
(neg.f64 y)
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(fabs.f64 y)
(log.f64 (exp.f64 y))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))

simplify70.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
733×unsub-neg
367×fma-neg
280×fma-define
274×distribute-lft-neg-in
255×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02004294969124
13484294968458
210294294968458
336604294968328
Stop Event
1×node limit
Counts
89 → 115
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (neg.f64 (cbrt.f64 y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y (log.f64 (E.f64)))
(*.f64 y (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (*.f64 (pow.f64 y #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) y)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) y)
(*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) y)
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 y)) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) y)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) y)
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 y))
(*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 y))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (cbrt.f64 y))
(*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 y #s(literal 1/6 binary64))) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/6 binary64))) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 y))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal -3 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -2 binary64))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (E.f64) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))
(neg.f64 y)
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(fabs.f64 y)
(log.f64 (exp.f64 y))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(+.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 y))))
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(-.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 y) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(neg.f64 (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(neg.f64 (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 y) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (neg.f64 (cbrt.f64 y))))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 y #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 y (log.f64 (E.f64)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 y (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (*.f64 (pow.f64 y #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (cbrt.f64 #s(literal -1 binary64)) y)
(*.f64 y (cbrt.f64 #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 5 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (sqrt.f64 #s(literal -1 binary64)) y)
(*.f64 y (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 y)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) y)
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 y #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (cbrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 y)) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 y) (pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) y)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 y #s(literal 5/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) y)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 y))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 y))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (cbrt.f64 y))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 y #s(literal 1/6 binary64))) (pow.f64 y #s(literal 1/6 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 5 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/6 binary64))) (pow.f64 y #s(literal 1/6 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 y))
(*.f64 y (cbrt.f64 #s(literal -1 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(pow.f64 (cbrt.f64 y) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) y)
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(pow.f64 (sqrt.f64 y) #s(literal -2 binary64))
(pow.f64 (cbrt.f64 y) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) y)
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) y)
(pow.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(pow.f64 (E.f64) (log.f64 y))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))
(neg.f64 y)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(fabs.f64 y)
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(log.f64 (exp.f64 y))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(expm1.f64 (log1p.f64 y))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(log1p.f64 (expm1.f64 y))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(exp.f64 (log.f64 y))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
y
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) y)

eval14.0ms (0.3%)

Compiler

Compiled 877 to 233 computations (73.4% saved)

prune30.0ms (0.7%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New1123115
Fresh000
Picked011
Done055
Total1129121
Accuracy
100.0%
Counts
121 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.4%
(/.f64 x (+.f64 y y))
▶3.3%
(/.f64 #s(literal 1 binary64) y)
✓3.7%
(/.f64 #s(literal -1 binary64) y)
✓4.0%
(/.f64 #s(literal -2 binary64) y)
✓100.0%
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))
▶3.0%
(neg.f64 y)
▶2.9%
y
✓51.0%
#s(literal 1/2 binary64)
✓2.3%
#s(literal -2 binary64)
Compiler

Compiled 44 to 34 computations (22.7% saved)

localize31.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(neg.f64 y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(neg.f64 y)
Rules
3×1-exp
3×sub-neg
2×fma-define
2×+-commutative
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
11731
21931
32131
42631
53031
63531
Stop Event
1×saturated
Calls
Call 1
Inputs
y
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
Outputs
y
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
Results
15.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (50% of total)
ival-neg: 1.0ms (25% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
2 → 12
Calls
Call 1
Inputs
#<alt (neg.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
Outputs
#<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)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(neg y)
0.0ms
y
@0
(/ 1 y)
0.0ms
y
@inf
(neg y)
0.0ms
y
@-inf
(neg y)
0.0ms
y
@-inf
(/ 1 y)

rewrite55.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
261×associate-*r*
244×unpow-prod-down
213×associate-*l*
193×log1p-expm1-u
193×expm1-log1p-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0916
1768
28632
Stop Event
1×node limit
Counts
2 → 2
Calls
Call 1
Inputs
(neg.f64 y)
(/.f64 #s(literal 1 binary64) y)
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×sub-neg
2×fma-define
2×+-commutative
1×*-commutative
1×mul-1-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0898
11198
21298
31398
41598
52098
62498
72998
Stop Event
1×saturated
Counts
14 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
#s(literal 0 binary64)
#s(literal 0 binary64)
Outputs
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
#s(literal 0 binary64)
#s(literal 0 binary64)

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune5.0ms (0.1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New303
Fresh000
Picked033
Done066
Total3912
Accuracy
100.0%
Counts
12 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.4%
(/.f64 x (+.f64 y y))
✓3.3%
(/.f64 #s(literal 1 binary64) y)
✓3.7%
(/.f64 #s(literal -1 binary64) y)
✓4.0%
(/.f64 #s(literal -2 binary64) y)
✓100.0%
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))
✓3.0%
(neg.f64 y)
✓2.9%
y
✓51.0%
#s(literal 1/2 binary64)
✓2.3%
#s(literal -2 binary64)
Compiler

Compiled 86 to 55 computations (36% saved)

regimes42.0ms (1%)

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

3 calls:

29.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
9.0ms
y
4.0ms
x
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)

regimes12.0ms (0.3%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal -2 binary64)
#s(literal 1/2 binary64)
y
(neg.f64 y)
(/.f64 #s(literal -2 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal 1 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:

8.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.2%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
76.2%3x
77.6%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
51.0%1x
51.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
2.3%1x
2.3%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch29.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.0942519170690988e-51
2.041818457640578e-47
11.0ms
-6.311825979058468e+30
-8.122888546539485e+21
Results
19.0ms272×0valid
Compiler

Compiled 218 to 162 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (57.8% of total)
ival-div: 2.0ms (38.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
027100
138100
244100
346100
447100
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(if (<=.f64 y #s(literal -26000000000000001994743873536 binary64)) #s(literal 1/2 binary64) (if (<=.f64 y #s(literal 4113761393303015/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal -2 binary64)
Outputs
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(if (<=.f64 y #s(literal -26000000000000001994743873536 binary64)) #s(literal 1/2 binary64) (if (<=.f64 y #s(literal 4113761393303015/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal -2 binary64)

soundness706.0ms (16.6%)

Rules
1012×log1p-expm1-u
1012×expm1-log1p-u
981×fma-neg
705×prod-diff
501×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04655133
113555133
015101
121586
2344486
023220
150196
2119196
3340184
41369162
53017151
64389151
75089147
85561147
95865147
106107147
116577147
126783147
136787147
Stop Event
1×done
1×saturated
1×node limit
1×unsound
Compiler

Compiled 220 to 98 computations (55.5% saved)

preprocess513.0ms (12%)

Compiler

Compiled 102 to 60 computations (41.2% saved)

end0.0ms (0%)

Profiling

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