Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

Time bar (total: 3.4s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 12 to 8 computations (33.3% saved)

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

sample1.5s (43.7%)

Results
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 535.0ms
ival-mult: 480.0ms (89.7% of total)
ival-add: 42.0ms (7.8% of total)
const: 11.0ms (2.1% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess196.0ms (5.7%)

Algorithm
egg-herbie
Rules
837×fma-define
554×fma-neg
143×unsub-neg
114×distribute-lft-neg-in
104×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028212
195196
2276196
3788196
41499196
52581196
62976196
73094196
83126196
93136196
103137196
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x (neg.f64 y))))
(neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x (neg.f64 y)))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 y y) (*.f64 y x)))
Outputs
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 (-.f64 y x) (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 (-.f64 y x) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x (+.f64 x (neg.f64 y))))
(*.f64 (*.f64 x (-.f64 x y)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 y x)))
(neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x (neg.f64 y)))))
(*.f64 #s(literal -2 binary64) (*.f64 x (+.f64 x (neg.f64 y))))
(*.f64 (*.f64 x (-.f64 x y)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 y x)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 y y) (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 y x)))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))

explain70.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
110-0-(+.f64 (*.f64 x x) (*.f64 x y))
00-0-x
00-0-(*.f64 x y)
00-0-(*.f64 x x)
00-0-(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
00-0-#s(literal 2 binary64)
00-0-y
Results
44.0ms512×0valid
Compiler

Compiled 67 to 23 computations (65.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 18.0ms (84.6% of total)
ival-add: 3.0ms (14.1% of total)
const: 1.0ms (4.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
95.7%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 20 to 13 computations (35% saved)

simplify11.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (*.f64 x x) (*.f64 x y))
cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Rules
17×fma-define
*-commutative
associate-*r*
distribute-rgt-in
distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015145
132145
256145
371145
475145
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
#s(literal 2 binary64)
(+.f64 (*.f64 x x) (*.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
#s(literal 2 binary64)
(+.f64 (*.f64 x x) (*.f64 x y))
(*.f64 x (+.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(+.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize41.0ms (1.2%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
accuracy96.4%
(+.f64 (*.f64 x x) (*.f64 x y))
Results
29.0ms256×0valid
Compiler

Compiled 44 to 11 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (74.7% of total)
ival-add: 3.0ms (24.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series81.0ms (2.4%)

Counts
7 → 102
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))>
#<alt (+.f64 (*.f64 x x) (*.f64 x y))>
#<alt (*.f64 x x)>
#<alt (*.f64 x y)>
#<alt (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 x y)>
#<alt (*.f64 #s(literal 2 binary64) x)>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 x y))>
#<alt (*.f64 x (+.f64 x y))>
#<alt (*.f64 x (+.f64 x y))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) 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))))>
Calls

36 calls:

TimeVariablePointExpression
66.0ms
x
@0
(* 2 x)
1.0ms
x
@inf
(* 2 (+ (* x x) (* x y)))
1.0ms
x
@0
(* 2 (+ (* x x) (* x y)))
1.0ms
x
@-inf
(* 2 (+ (* x x) (* x y)))
1.0ms
x
@0
(* x y)

rewrite323.0ms (9.4%)

Algorithm
batch-egg-rewrite
Rules
1032×log1p-expm1-u
1032×expm1-log1p-u
573×fma-define
236×fma-neg
168×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015124
1216124
23157124
Stop Event
node limit
Counts
7 → 244
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(+.f64 (*.f64 x x) (*.f64 x y))
(*.f64 x x)
(*.f64 x y)
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 x y)
(*.f64 #s(literal 2 binary64) x)
Outputs
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (*.f64 x y))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x y))))))
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(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (-.f64 x y)))
(pow.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.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 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.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 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.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 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.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 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.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 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))

simplify275.0ms (8%)

Algorithm
egg-herbie
Rules
479×distribute-lft-in
472×distribute-rgt-in
368×cancel-sign-sub-inv
279×distribute-lft-neg-in
272×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042810381
1100410139
2300810051
Stop Event
node limit
Counts
346 → 252
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x y)
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x y))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) 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
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(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 x (-.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (-.f64 x y)))
(pow.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.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 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.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 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.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 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.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 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.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 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 x y)
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x y))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
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(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(+.f64 (+.f64 x y) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #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 (+.f64 x y) #s(literal 1 binary64))
(+.f64 x y)
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(+.f64 x y)
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(+.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(+.f64 x y)
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(+.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 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.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 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 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 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.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 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.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 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 x y)
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(+.f64 x y)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x y)
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 x y)
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 x y)
(log.f64 (exp.f64 (+.f64 x y)))
(+.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(+.f64 x y)
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(+.f64 x y)
(expm1.f64 (log1p.f64 (+.f64 x y)))
(+.f64 (+.f64 x y) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(+.f64 x y)
(exp.f64 (log.f64 (+.f64 x y)))
(+.f64 x y)
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 x y)
(fma.f64 x #s(literal 1 binary64) y)
(+.f64 x y)
(fma.f64 y #s(literal 1 binary64) x)
(+.f64 x y)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 x y)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(+.f64 x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.f64 x y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(+.f64 x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 x y)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) y)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 x)) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 2 binary64) x)
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)

eval31.0ms (0.9%)

Compiler

Compiled 3334 to 693 computations (79.2% saved)

prune35.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2502252
Fresh000
Picked022
Done000
Total2504254
Accuracy
100.0%
Counts
254 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
57.2%
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
63.6%
(*.f64 x (*.f64 #s(literal 2 binary64) x))
95.7%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 x (*.f64 #s(literal 2 binary64) x))
Rules
*-commutative
associate-*r*
associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01172
11772
22772
32972
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 #s(literal 2 binary64) x))
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
y
Outputs
(*.f64 x (*.f64 #s(literal 2 binary64) x))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
x
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
y

localize30.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy100.0%
(*.f64 x (*.f64 #s(literal 2 binary64) x))
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
Results
21.0ms256×0valid
Compiler

Compiled 24 to 7 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 6.0ms (96.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.2%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 (*.f64 #s(literal 2 binary64) x) y)>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* x (* 2 x))
1.0ms
y
@0
(* (* 2 x) y)
0.0ms
x
@0
(* (* 2 x) y)
0.0ms
x
@inf
(* (* 2 x) y)
0.0ms
x
@inf
(* x (* 2 x))

rewrite73.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
527×unpow-prod-down
455×log1p-expm1-u
455×expm1-log1p-u
433×add-exp-log
417×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01138
110935
2126935
Stop Event
node limit
Counts
2 → 42
Calls
Call 1
Inputs
(*.f64 x (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)))

simplify114.0ms (3.3%)

Algorithm
egg-herbie
Rules
1134×fma-define
528×fma-neg
348×associate-+r+
322×*-commutative
303×exp-sum
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01251750
12141750
24551744
316321738
434951738
557541738
Stop Event
node limit
Counts
78 → 55
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))

eval9.0ms (0.3%)

Compiler

Compiled 766 to 204 computations (73.4% saved)

prune74.0ms (2.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh000
Picked022
Done022
Total85489
Accuracy
100.0%
Counts
89 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
57.2%
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
63.6%
(*.f64 x (*.f64 #s(literal 2 binary64) x))
95.7%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 62 to 35 computations (43.5% saved)

regimes9.0ms (0.3%)

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

4 calls:

2.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
2.0ms
x
2.0ms
y
2.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
100.0%1(+.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes4.0ms (0.1%)

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

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
83.9%3x
87.8%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 #s(literal 2 binary64) x))
Outputs
(*.f64 x (*.f64 #s(literal 2 binary64) x))
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
63.6%1x
63.6%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch12.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
2.057654836837491e+76
3.941653366923941e+80
0.0ms
-0.006734770499427523
-0.00649372152353033
Results
7.0ms128×0valid
Compiler

Compiled 144 to 107 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (80% of total)
ival-add: 1.0ms (26.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
if-if-or-not
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022116
132116
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(if (<=.f64 y #s(literal -7493989779944505/1152921504606846976 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) y) (if (<=.f64 y #s(literal 3300000000000000007460143764660944294354155969209028720169298718499481497632768 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) x))
Outputs
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -7493989779944505/1152921504606846976 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) y) (if (<=.f64 y #s(literal 3300000000000000007460143764660944294354155969209028720169298718499481497632768 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(if (or (<=.f64 y #s(literal -7493989779944505/1152921504606846976 binary64)) (not (<=.f64 y #s(literal 3300000000000000007460143764660944294354155969209028720169298718499481497632768 binary64)))) (*.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) x))
(*.f64 x (*.f64 x #s(literal 2 binary64)))

soundness491.0ms (14.3%)

Rules
837×fma-define
554×fma-neg
479×distribute-lft-in
472×distribute-rgt-in
368×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042810381
1100410139
2300810051
028212
195196
2276196
3788196
41499196
52581196
62976196
73094196
83126196
93136196
103137196
Stop Event
done
saturated
node limit
Compiler

Compiled 93 to 39 computations (58.1% saved)

preprocess33.0ms (1%)

Compiler

Compiled 106 to 56 computations (47.2% saved)

end0.0ms (0%)

Profiling

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