Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

Time bar (total: 3.5s)

analyze13.0ms (0.4%)

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

Compiled 8 to 5 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (77.9% of total)
ival-div: 1.0ms (26% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample604.0ms (17.4%)

Results
435.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 161.0ms
ival-mult: 83.0ms (51.6% of total)
ival-div: 67.0ms (41.7% of total)
const: 7.0ms (4.4% of total)
backward-pass: 3.0ms (1.9% of total)
Bogosity

preprocess55.0ms (1.6%)

Algorithm
egg-herbie
Rules
1050×fnmadd-define
998×fma-define
892×times-frac
688×sum3-define
466×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
14132
210632
332532
490132
5195032
6298932
7337532
8343732
9354132
10358132
045
165
065
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ x (* y y))
Outputs
(/ x (* y y))
(/.f64 x (*.f64 y y))
Call 2
Inputs
(/ x (* y y))
(/ (neg x) (* y y))
(/ x (* (neg y) (neg y)))
(neg (/ (neg x) (* y y)))
(neg (/ x (* (neg y) (neg y))))
(/ y (* x x))
Outputs
(/ x (* y y))
(/ (neg x) (* y y))
(/ x (* y (neg y)))
(/ x (* (neg y) (neg y)))
(/ x (* y y))
(neg (/ (neg x) (* y y)))
(/ x (* y y))
(neg (/ x (* (neg y) (neg y))))
(/ x (* y (neg y)))
(/ y (* x x))
Symmetry

(abs y)

(negabs x)

explain53.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-0-(/.f64 x (*.f64 y y))
00-0-x
00-0-(*.f64 y y)
00-0-y
Results
32.0ms512×0valid
Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 9.0ms (61.9% of total)
ival-mult: 5.0ms (34.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
87.9%
(/.f64 x (*.f64 y y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 x (*.f64 y y))
Rules
/-lowering-/.f32
/-lowering-/.f64
*-lowering-*.f32
*-lowering-*.f64
associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
1610
0610
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ x (* y y))
x
(* y y)
y
Outputs
(/ x (* y y))
(/.f64 x (*.f64 y y))
x
(* y y)
(*.f64 y y)
y

localize37.0ms (1.1%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y y)
accuracy87.9%
(/.f64 x (*.f64 y y))
Results
32.0ms256×0valid
Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (44.4% of total)
ival-mult: 2.0ms (44.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (/ x (* y y))>
#<alt (* y y)>
Outputs
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
Calls

9 calls:

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

rewrite169.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
1814×/-lowering-/.f32
1814×/-lowering-/.f64
1614×*-lowering-*.f32
1614×*-lowering-*.f64
806×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
1168
2778
33668
421608
092238
Stop Event
iter limit
node limit
Counts
2 → 216
Calls
Call 1
Inputs
(/ x (* y y))
(* y y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 y y) x) (*.f64 y (*.f64 y (*.f64 y y)))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) x)) (*.f64 y (*.f64 y (*.f64 y y)))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 x (*.f64 y y)))) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (*.f64 y y) (/.f64 y x)) (*.f64 y (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 x y))) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 0 binary64))) (/.f64 x (*.f64 y y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(/.f64 y (/.f64 (*.f64 y y) (/.f64 x y)))
(/.f64 y (neg.f64 (/.f64 (*.f64 y y) (/.f64 x y))))
(/.f64 (*.f64 y y) (/.f64 (*.f64 y y) (/.f64 x (*.f64 y y))))
(/.f64 (*.f64 y y) (neg.f64 (/.f64 (*.f64 y y) (/.f64 x (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) (/.f64 x (*.f64 y y))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) (/.f64 x y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (/.f64 (/.f64 x y) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 0 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
(/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x)))
(/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x)) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) x))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 y x))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (*.f64 y y)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 (*.f64 x x) y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y) (*.f64 x y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 y x))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 0 binary64)))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 0 binary64))))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y)))) (/.f64 x (*.f64 y y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y y)) x)
(/.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) x)))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) y)) (neg.f64 (*.f64 (*.f64 x x) y)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y)) (neg.f64 (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))))) (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y y))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 y x)))) (*.f64 y (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 y (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (neg.f64 (*.f64 y x)))
(/.f64 (neg.f64 (/.f64 (/.f64 x y) (sqrt.f64 y))) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (/.f64 x y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 x y))))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 x (*.f64 y y)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 x x))))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y)))) (/.f64 y (/.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 x (*.f64 y y)))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(+.f64 (*.f64 y y) (fma.f64 #s(literal -1 binary64) (*.f64 y y) (*.f64 y y)))
(+.f64 (*.f64 y y) (fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 y y)))
(+.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 y y)))
(+.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1 binary64) (*.f64 y y)))
(+.f64 (*.f64 y y) (fma.f64 y y (*.f64 y y)))
(+.f64 (*.f64 y y) (fma.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y) (*.f64 y y)))
(+.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 y y)))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 (fma.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(+.f64 (fma.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 y)))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 3 binary64)) (log.f64 (*.f64 y (*.f64 y (*.f64 y y))))))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(fma.f64 y y #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)) (*.f64 y y))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 0 binary64))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y) #s(literal 0 binary64))
(neg.f64 (*.f64 y y))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (*.f64 y y) #s(literal -1 binary64))
(/.f64 (*.f64 y y) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))
(pow.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 y))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(*.f64 y y)
(*.f64 y (*.f64 (/.f64 (sqrt.f64 y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 y) #s(literal -1 binary64))))
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (*.f64 y y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 y y))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) y)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Rules
/-lowering-/.f32
/-lowering-/.f64
pow-lowering-pow.f64
pow-lowering-pow.f32
*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05156
16156
28156
08156
Stop Event
iter limit
saturated
Counts
36 → 36
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval32.0ms (0.9%)

Compiler

Compiled 3101 to 475 computations (84.7% saved)

prune44.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2457252
Fresh000
Picked011
Done000
Total2458253
Accuracy
100.0%
Counts
253 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))
99.9%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
67.0%
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
87.9%
(/.f64 x (*.f64 y y))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
99.7%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
94.2%
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
Compiler

Compiled 141 to 92 computations (34.8% saved)

simplify254.0ms (7.3%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff64
(pow.f64 x #s(literal 1/2 binary64))
cost-diff64
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)
cost-diff12800
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(*.f64 x x)
cost-diff256
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 y (/.f64 x y))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) y)
Rules
5212×*-lowering-*.f32
5212×*-lowering-*.f64
2580×/-lowering-/.f32
2580×/-lowering-/.f64
1606×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01972
13972
28172
311072
428272
5157172
6208172
7221072
8242172
9270672
10309972
11553372
12673572
13786272
0814172
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ x y) y)
(/ x y)
x
y
(/ 1 (/ y (/ x y)))
1
(/ y (/ x y))
y
(/ x y)
x
(/ (/ 1 y) (/ y x))
(/ 1 y)
1
y
(/ y x)
x
(/ (* x x) (* (* y y) x))
(* x x)
x
(* (* y y) x)
(* y y)
y
(pow (/ (pow x 1/2) y) 2)
(/ (pow x 1/2) y)
(pow x 1/2)
x
1/2
y
2
Outputs
(/ (/ x y) y)
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
x
y
(/ 1 (/ y (/ x y)))
(/.f64 x (*.f64 y y))
1
#s(literal 1 binary64)
(/ y (/ x y))
(/.f64 y (/.f64 x y))
y
(/ x y)
(/.f64 x y)
x
(/ (/ 1 y) (/ y x))
(/.f64 x (*.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ y x)
(/.f64 y x)
x
(/ (* x x) (* (* y y) x))
(/.f64 x (*.f64 y y))
(* x x)
(*.f64 x x)
x
(* (* y y) x)
(*.f64 x (*.f64 y y))
(* y y)
(*.f64 y y)
y
(pow (/ (pow x 1/2) y) 2)
(/.f64 x (*.f64 y y))
(/ (pow x 1/2) y)
(/.f64 (sqrt.f64 x) y)
(pow x 1/2)
(sqrt.f64 x)
x
1/2
#s(literal 1/2 binary64)
y
2
#s(literal 2 binary64)

localize138.0ms (4%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x #s(literal 1/2 binary64))
accuracy99.7%
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)
accuracy99.6%
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x x)
accuracy86.3%
(*.f64 (*.f64 y y) x)
accuracy67.8%
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(/.f64 y (/.f64 x y))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
accuracy100.0%
(/.f64 x y)
accuracy99.9%
(/.f64 (/.f64 x y) y)
Results
103.0ms256×0valid
Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 49.0ms (65.7% of total)
ival-pow: 19.0ms (25.5% of total)
ival-mult: 5.0ms (6.7% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series16.0ms (0.5%)

Counts
14 → 288
Calls
Call 1
Inputs
#<alt (/ (/ x y) y)>
#<alt (/ x y)>
#<alt (/ 1 (/ y (/ x y)))>
#<alt (/ y (/ x y))>
#<alt (/ (/ 1 y) (/ y x))>
#<alt (/ 1 y)>
#<alt (/ y x)>
#<alt (/ (* x x) (* (* y y) x))>
#<alt (* x x)>
#<alt (* (* y y) x)>
#<alt (* y y)>
#<alt (pow (/ (pow x 1/2) y) 2)>
#<alt (/ (pow x 1/2) y)>
#<alt (pow x 1/2)>
Outputs
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
Calls

72 calls:

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

rewrite266.0ms (7.7%)

Algorithm
batch-egg-rewrite
Rules
1790×exp-lowering-exp.f32
1790×exp-lowering-exp.f64
1516×*-lowering-*.f32
1516×*-lowering-*.f64
1444×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01955
110055
260055
3403655
0901755
Stop Event
iter limit
node limit
Counts
14 → 1370
Calls
Call 1
Inputs
(/ (/ x y) y)
(/ x y)
(/ 1 (/ y (/ x y)))
(/ y (/ x y))
(/ (/ 1 y) (/ y x))
(/ 1 y)
(/ y x)
(/ (* x x) (* (* y y) x))
(* x x)
(* (* y y) x)
(* y y)
(pow (/ (pow x 1/2) y) 2)
(/ (pow x 1/2) y)
(pow x 1/2)
Outputs
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 y (/.f64 x y)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)) (log.f64 (/.f64 x y))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 (log.f64 (*.f64 x (*.f64 y y))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1 binary64)) (log.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (log.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y))))
(exp.f64 (+.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))) (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))))
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y y))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 y)))))
(exp.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 y))) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (log.f64 x)))
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal 1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (log.f64 y)))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (-.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))))))
(exp.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y y))) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (log.f64 (/.f64 (/.f64 y (/.f64 x y)) x))))
(exp.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 y))) (log.f64 x)))
(exp.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 y))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64))))
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(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))))
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(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))))
(exp.f64 (+.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (log.f64 y)))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (log.f64 y)))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (sqrt.f64 x) y))
(sqrt.f64 (/.f64 x (*.f64 y y)))
(neg.f64 (/.f64 (sqrt.f64 x) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) y)
(/.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 y (/.f64 x y))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
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(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) x)
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
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(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
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(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
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(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
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(*.f64 (sqrt.f64 x) #s(literal -1 binary64))
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(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))

simplify210.0ms (6.1%)

Algorithm
egg-herbie
Rules
1780×*-lowering-*.f32
1780×*-lowering-*.f64
1632×fma-lowering-fma.f32
1632×fma-lowering-fma.f64
1522×fnmadd-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0251224
1521200
21491200
34201200
415561200
532931200
650181200
764611200
081541200
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(/ x (pow y 2))
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(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow x 2)
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(pow x 2)
(pow x 2)
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

eval232.0ms (6.7%)

Compiler

Compiled 20496 to 2130 computations (89.6% saved)

prune113.0ms (3.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New177731780
Fresh202
Picked145
Done011
Total178081788
Accuracy
100.0%
Counts
1788 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
99.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
99.9%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
86.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y (/.f64 x y)) x))
67.0%
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
87.9%
(/.f64 x (*.f64 y y))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
Compiler

Compiled 75 to 47 computations (37.3% saved)

simplify298.0ms (8.6%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 (sqrt.f64 x) y)
cost-diff12736
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
cost-diff256
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
cost-diff0
(/.f64 y (/.f64 x y))
cost-diff0
(/.f64 (/.f64 y (/.f64 x y)) x)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y (/.f64 x y)) x))
Rules
9636×*-lowering-*.f32
9636×*-lowering-*.f64
3066×unswap-sqr
2300×/-lowering-/.f32
2300×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01569
13469
28454
321154
461754
5159854
6192154
7218854
8227754
9237454
10249554
11464554
12522354
13587054
0898554
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ 1 x) (/ (/ y (/ x y)) x))
(/ 1 x)
1
x
(/ (/ y (/ x y)) x)
(/ y (/ x y))
y
(/ x y)
(/ (/ (/ 1 y) (/ 1 x)) y)
(/ (/ 1 y) (/ 1 x))
(/ 1 y)
1
y
(/ 1 x)
x
(pow (/ (sqrt x) y) 2)
(/ (sqrt x) y)
(sqrt x)
x
y
2
Outputs
(/ (/ 1 x) (/ (/ y (/ x y)) x))
(/.f64 (/.f64 x y) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ (/ y (/ x y)) x)
(/.f64 y (/.f64 (*.f64 x x) y))
(/ y (/ x y))
(/.f64 y (/.f64 x y))
y
(/ x y)
(/.f64 x y)
(/ (/ (/ 1 y) (/ 1 x)) y)
(/.f64 (/.f64 x y) y)
(/ (/ 1 y) (/ 1 x))
(/.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(pow (/ (sqrt x) y) 2)
(/.f64 (/.f64 x y) y)
(/ (sqrt x) y)
(/.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
x
y
2
#s(literal 2 binary64)

localize61.0ms (1.8%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(/.f64 (sqrt.f64 x) y)
accuracy99.6%
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.9%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.8%
(/.f64 y (/.f64 x y))
accuracy94.1%
(/.f64 (/.f64 y (/.f64 x y)) x)
accuracy87.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y (/.f64 x y)) x))
Results
42.0ms256×0valid
Compiler

Compiled 75 to 16 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 15.0ms (72.8% of total)
ival-pow: 3.0ms (14.6% of total)
ival-sqrt: 2.0ms (9.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.5%)

Counts
10 → 204
Calls
Call 1
Inputs
#<alt (/ (/ 1 x) (/ (/ y (/ x y)) x))>
#<alt (/ 1 x)>
#<alt (/ (/ y (/ x y)) x)>
#<alt (/ y (/ x y))>
#<alt (/ (/ (/ 1 y) (/ 1 x)) y)>
#<alt (/ (/ 1 y) (/ 1 x))>
#<alt (/ 1 y)>
#<alt (pow (/ (sqrt x) y) 2)>
#<alt (/ (sqrt x) y)>
#<alt (sqrt x)>
Outputs
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
Calls

51 calls:

TimeVariablePointExpression
8.0ms
y
@0
(/ (/ y (/ x y)) x)
1.0ms
y
@inf
(/ (/ y (/ x y)) x)
0.0ms
x
@-inf
(sqrt x)
0.0ms
x
@0
(/ (/ y (/ x y)) x)
0.0ms
x
@-inf
(/ 1 x)

rewrite179.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
1946×*-lowering-*.f32
1946×*-lowering-*.f64
1308×/-lowering-/.f32
1308×/-lowering-/.f64
1204×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01557
19352
266938
0394538
Stop Event
iter limit
iter limit
node limit
Counts
10 → 867
Calls
Call 1
Inputs
(/ (/ 1 x) (/ (/ y (/ x y)) x))
(/ 1 x)
(/ (/ y (/ x y)) x)
(/ y (/ x y))
(/ (/ (/ 1 y) (/ 1 x)) y)
(/ (/ 1 y) (/ 1 x))
(/ 1 y)
(pow (/ (sqrt x) y) 2)
(/ (sqrt x) y)
(sqrt x)
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (sqrt.f64 x) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) (log.f64 (/.f64 (sqrt.f64 x) y))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))))) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)) (/.f64 (sqrt.f64 x) y)))
(neg.f64 (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)) (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 x (/.f64 y x))))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 x y) (*.f64 x (/.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (sqrt.f64 x) (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (/.f64 (sqrt.f64 x) y) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)
(/.f64 (/.f64 x (/.f64 y x)) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 y x) x))
(/.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 x x)) y)
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x))
(/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 y (/.f64 x y))))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) (/.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) x)))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) y) y))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y)))
(*.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 y (/.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y x)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) x))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sqrt.f64 x) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 x) y) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (/.f64 y (/.f64 #s(literal -1 binary64) y))))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 x (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 x y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)) (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 (sqrt.f64 x) y) y))
(*.f64 (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x y)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x y)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 x y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) y)
(/.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(sqrt.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))

simplify175.0ms (5.1%)

Algorithm
egg-herbie
Rules
1636×fnmadd-define
1540×fma-lowering-fma.f32
1540×fma-lowering-fma.f64
1508×fma-define
1320×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025912
152888
2150888
3421888
41547888
53205888
64908888
76843888
87998888
08024888
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) (pow x 2))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

eval109.0ms (3.1%)

Compiler

Compiled 13010 to 1433 computations (89% saved)

prune107.0ms (3.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New110201102
Fresh000
Picked033
Done055
Total110281110
Accuracy
100.0%
Counts
1110 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
99.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
99.9%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
86.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y (/.f64 x y)) x))
67.0%
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
87.9%
(/.f64 x (*.f64 y y))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
Compiler

Compiled 161 to 84 computations (47.8% saved)

regimes17.0ms (0.5%)

Counts
11 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y (/.f64 x y)) x))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
Outputs
(/.f64 (/.f64 x y) y)
Calls

4 calls:

7.0ms
y
4.0ms
x
3.0ms
(/.f64 x (*.f64 y y))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(/.f64 x (*.f64 y y))
99.9%1(*.f64 y y)
Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
Outputs
(/.f64 x (*.f64 y y))
Calls

4 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 y y)
1.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
87.9%1x
87.9%1y
87.9%1(/.f64 x (*.f64 y y))
87.9%1(*.f64 y y)
Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
Outputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))

soundness208.0ms (6%)

Rules
1814×/-lowering-/.f32
1814×/-lowering-/.f64
1614×*-lowering-*.f32
1614×*-lowering-*.f64
806×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
1168
2778
33668
421608
092238
Stop Event
done
iter limit
node limit
Compiler

Compiled 19 to 10 computations (47.4% saved)

preprocess38.0ms (1.1%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 108 to 60 computations (44.4% saved)

end0.0ms (0%)

Profiling

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