Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

Time bar (total: 6.4s)

analyze20.0ms (0.3%)

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 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-fabs: 3.0ms (53.4% of total)
ival-sub: 2.0ms (35.6% of total)
ival-div: 1.0ms (17.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.2s (18.4%)

Results
894.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 325.0ms
ival-sub: 151.0ms (46.4% of total)
ival-fabs: 96.0ms (29.5% of total)
ival-div: 66.0ms (20.3% of total)
const: 9.0ms (2.8% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess104.0ms (1.6%)

Algorithm
egg-herbie
Rules
208×fmsub-define
208×fnmadd-define
202×fma-define
198×sum3-define
160×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02148
15044
210244
324444
448844
569544
678044
785044
892844
994444
1095344
1196444
12102444
13102544
067
1107
2177
3267
4487
51187
62657
73847
84587
94877
104877
04877
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (fabs (- x y)) (fabs y))
Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Call 2
Inputs
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- (neg x) y)) (fabs y))
(/ (fabs (- x (neg y))) (fabs (neg y)))
(neg (/ (fabs (- (neg x) y)) (fabs y)))
(neg (/ (fabs (- x (neg y))) (fabs (neg y))))
(/ (fabs (- y x)) (fabs x))
Outputs
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- (neg x) y)) (fabs y))
(/ (fabs (+ x y)) (fabs y))
(/ (fabs (- x (neg y))) (fabs (neg y)))
(/ (fabs (+ x y)) (fabs y))
(neg (/ (fabs (- (neg x) y)) (fabs y)))
(/ (fabs (+ x y)) (neg (fabs y)))
(neg (/ (fabs (- x (neg y))) (fabs (neg y))))
(/ (fabs (+ x y)) (neg (fabs y)))
(/ (fabs (- y x)) (fabs x))
(/ (fabs (- x y)) (fabs x))

explain219.0ms (3.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
00-0-(-.f64 x y)
00-0-(fabs.f64 (-.f64 x y))
00-0-(fabs.f64 y)
00-0-y
Results
124.0ms512×0valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-fabs: 5.0ms (36.5% of total)
ival-div: 4.0ms (29.2% of total)
ival-sub: 3.0ms (21.9% of total)
const: 1.0ms (7.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune5.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify14.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f64 y)
cost-diff0
(-.f64 x y)
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Rules
98×sum3-define
96×fnmadd-define
80×fma-lowering-fma.f32
80×fnmsub-define
80×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11018
21718
32618
44818
511818
626518
738418
845818
948718
1048718
048718
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(- x y)
x
y
(fabs y)
Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(- x y)
(-.f64 x y)
x
y
(fabs y)
(fabs.f64 y)

localize32.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(fabs.f64 (-.f64 x y))
accuracy100.0%
(fabs.f64 y)
accuracy100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
24.0ms256×0valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-fabs: 4.0ms (51.5% of total)
ival-sub: 2.0ms (25.8% of total)
ival-div: 2.0ms (25.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
4 → 84
Calls
Call 1
Inputs
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (fabs (- x y))>
#<alt (- x y)>
#<alt (fabs y)>
Outputs
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y))>
#<alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y))>
#<alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y))>
#<alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (+ x (* -1 y))) (fabs y))>
#<alt (/ (fabs (+ x (* -1 y))) (fabs y))>
#<alt (/ (fabs (+ x (* -1 y))) (fabs y))>
#<alt (/ (fabs (+ x (* -1 y))) (fabs y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
Calls

21 calls:

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

rewrite325.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
2354×fma-lowering-fma.f32
2354×fma-lowering-fma.f64
2322×*-lowering-*.f32
2322×*-lowering-*.f64
1758×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
13615
225915
3254115
0880715
Stop Event
iter limit
node limit
Counts
4 → 336
Calls
Call 1
Inputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(- x y)
(fabs y)
Outputs
(exp.f64 (*.f64 (log.f64 (fabs.f64 (/.f64 y (-.f64 x y)))) #s(literal -1 binary64)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs.f64 (*.f64 (-.f64 (-.f64 x y) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fabs.f64 (/.f64 (-.f64 x y) (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (/.f64 (-.f64 (-.f64 x y) #s(literal 0 binary64)) y))
(fabs.f64 (/.f64 (-.f64 (-.f64 x y) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)))
(fabs.f64 (/.f64 (-.f64 (-.f64 x y) #s(literal 0 binary64)) (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))) y) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))) y)))
(fabs.f64 (-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) y) (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) y)))
(fabs.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))))
(fabs.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))))))
(fabs.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 y (+.f64 x y))) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(fabs.f64 (-.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))) (-.f64 #s(literal 0 binary64) y))))
(fabs.f64 (-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 0 binary64) y))))
(fabs.f64 (-.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 y))) (neg.f64 (fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(neg.f64 (neg.f64 (fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (/.f64 y (-.f64 x y)))))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 (-.f64 x y))) (-.f64 #s(literal 0 binary64) (fabs.f64 y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 y (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 y (-.f64 x y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (fabs.f64 (*.f64 y (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))))
(/.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (fabs.f64 (*.f64 y (+.f64 x y))))
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)))))) (fabs.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 (fabs.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(/.f64 (fabs.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 (*.f64 (*.f64 y (+.f64 x y)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))))))
(/.f64 (fabs.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y))))) (fabs.f64 (*.f64 (*.f64 y (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))))
(/.f64 (*.f64 (fabs.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fabs.f64 (*.f64 y (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))))
(/.f64 (*.f64 (fabs.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (fabs.f64 (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))) (-.f64 #s(literal 0 binary64) (fabs.f64 y))))
(/.f64 (*.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal 1 binary64)) (fabs.f64 (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (fabs.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) (fabs.f64 y))))
(/.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)) (fabs.f64 (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))))
(/.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)) (fabs.f64 (+.f64 x y))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (fabs.f64 y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fabs.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (fabs.f64 (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) (fabs.f64 (+.f64 x y)))
(/.f64 (*.f64 (fabs.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (fabs.f64 (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))))
(/.f64 (*.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (fabs.f64 (+.f64 x y)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)) (fabs.f64 y))
(/.f64 (fabs.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) (fabs.f64 (*.f64 y (+.f64 x y))))
(/.f64 (fabs.f64 (-.f64 (*.f64 x y) (*.f64 y y))) (fabs.f64 (*.f64 y y)))
(/.f64 (fabs.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (fabs.f64 (*.f64 y (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (fabs.f64 (*.f64 y (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64))) (fabs.f64 (*.f64 y (+.f64 x y))))
(/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (fabs.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64))))))
(/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64))) (fabs.f64 y))
(/.f64 (fabs.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) (fabs.f64 (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (fabs.f64 (+.f64 x y)))
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(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))))
(*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 (+.f64 x y) (*.f64 y (+.f64 x y)))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal -1 binary64))))
(fabs.f64 y)
(fabs.f64 (-.f64 #s(literal 0 binary64) y))
(fabs.f64 (-.f64 y #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)))
(/.f64 (fabs.f64 y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(/.f64 (fabs.f64 (*.f64 y y)) (fabs.f64 (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fabs.f64 (*.f64 y (*.f64 y y))) (fabs.f64 (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) y)))))
(pow.f64 (fabs.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) #s(literal -1 binary64))
(*.f64 (fabs.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 y)))

simplify151.0ms (2.4%)

Algorithm
egg-herbie
Rules
1970×sum3-define
1500×fnmsub-define
1354×fnmadd-define
1320×fmm-def
1276×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031351
180351
2203351
3644351
42320351
54394351
66631351
08043351
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(fabs y)
Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)

eval51.0ms (0.8%)

Compiler

Compiled 13265 to 1271 computations (90.4% saved)

prune43.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New4182420
Fresh000
Picked101
Done000
Total4192421
Accuracy
100.0%
Counts
421 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y)))
100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify54.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x y))
cost-diff0
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y))
cost-diff0
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y)))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y)
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff0
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
Rules
362×fnmadd-define
290×sum3-define
270×fmsub-define
258×fnmsub-define
252×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01148
12745
25245
310145
417445
525945
643445
766945
8131645
9147045
10153045
11154945
12155745
0155745
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(fabs (- 1 (/ x y)))
(- 1 (/ x y))
1
(/ x y)
x
y
(/ 1 (fabs (* (/ 1 (- x y)) y)))
1
(fabs (* (/ 1 (- x y)) y))
(* (/ 1 (- x y)) y)
(/ 1 (- x y))
(- x y)
x
y
Outputs
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(- 1 (/ x y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(/ x y)
(/.f64 x y)
x
y
(/ 1 (fabs (* (/ 1 (- x y)) y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 x y))))
1
#s(literal 1 binary64)
(fabs (* (/ 1 (- x y)) y))
(fabs.f64 (/.f64 y (-.f64 x y)))
(* (/ 1 (- x y)) y)
(/.f64 y (-.f64 x y))
(/ 1 (- x y))
(/.f64 #s(literal 1 binary64) (-.f64 x y))
(- x y)
(-.f64 x y)
x
y

localize62.0ms (1%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 x y))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y)))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y)
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
Results
44.0ms256×0valid
Compiler

Compiled 56 to 12 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (44.2% of total)
ival-sub: 3.0ms (19% of total)
ival-mult: 3.0ms (19% of total)
ival-fabs: 3.0ms (19% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
7 → 168
Calls
Call 1
Inputs
#<alt (fabs (- 1 (/ x y)))>
#<alt (- 1 (/ x y))>
#<alt (/ x y)>
#<alt (* (/ 1 (- x y)) y)>
#<alt (/ 1 (fabs (* (/ 1 (- x y)) y)))>
#<alt (fabs (* (/ 1 (- x y)) y))>
#<alt (/ 1 (- x y))>
Outputs
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (+ 1 (* -1 (/ x y))))>
#<alt (fabs (+ 1 (* -1 (/ x y))))>
#<alt (fabs (+ 1 (* -1 (/ x y))))>
#<alt (fabs (+ 1 (* -1 (/ x y))))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (/ x y))>
#<alt (/ (- y x) y)>
#<alt (/ (- y x) y)>
#<alt (/ (- y x) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ 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 y)>
#<alt -1>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)>
#<alt (- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)>
#<alt (/ y x)>
#<alt (/ (+ y (/ (pow y 2) x)) x)>
#<alt (/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)>
#<alt (/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))>
#<alt (/ y x)>
#<alt (* y (+ (/ 1 x) (/ y (pow x 2))))>
#<alt (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))>
#<alt (* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))>
#<alt -1>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))>
#<alt (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (* -1 (/ y (+ y (* -1 x))))))>
#<alt (/ 1 (fabs (* -1 (/ y (+ y (* -1 x))))))>
#<alt (/ 1 (fabs (* -1 (/ y (+ y (* -1 x))))))>
#<alt (/ 1 (fabs (* -1 (/ y (+ y (* -1 x))))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (- x y))))>
#<alt (/ 1 (fabs (/ y (+ x (* -1 y)))))>
#<alt (/ 1 (fabs (/ y (+ x (* -1 y)))))>
#<alt (/ 1 (fabs (/ y (+ x (* -1 y)))))>
#<alt (/ 1 (fabs (/ y (+ x (* -1 y)))))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (* -1 (/ y (+ y (* -1 x)))))>
#<alt (fabs (* -1 (/ y (+ y (* -1 x)))))>
#<alt (fabs (* -1 (/ y (+ y (* -1 x)))))>
#<alt (fabs (* -1 (/ y (+ y (* -1 x)))))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (- x y)))>
#<alt (fabs (/ y (+ x (* -1 y))))>
#<alt (fabs (/ y (+ x (* -1 y))))>
#<alt (fabs (/ y (+ x (* -1 y))))>
#<alt (fabs (/ y (+ x (* -1 y))))>
#<alt (/ -1 y)>
#<alt (- (* -1 (/ x (pow y 2))) (/ 1 y))>
#<alt (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ y x)) x)>
#<alt (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x)>
#<alt (/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ y x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ y (pow x 2)))>
#<alt (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))>
#<alt (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ -1 y)>
#<alt (/ (- (* -1 (/ x y)) 1) y)>
#<alt (/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y)>
#<alt (/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (/ x y)) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y))>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ 1 (fabs (* (/ 1 (- x y)) y)))
1.0ms
y
@-inf
(/ x y)
1.0ms
y
@inf
(- 1 (/ x y))
1.0ms
y
@-inf
(/ 1 (fabs (* (/ 1 (- x y)) y)))
0.0ms
y
@inf
(/ 1 (fabs (* (/ 1 (- x y)) y)))

rewrite214.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
3084×*-lowering-*.f32
3084×*-lowering-*.f64
2718×/-lowering-/.f32
2718×/-lowering-/.f64
1416×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01139
17636
254035
3795335
0805335
Stop Event
iter limit
node limit
Counts
7 → 274
Calls
Call 1
Inputs
(fabs (- 1 (/ x y)))
(- 1 (/ x y))
(/ x y)
(* (/ 1 (- x y)) y)
(/ 1 (fabs (* (/ 1 (- x y)) y)))
(fabs (* (/ 1 (- x y)) y))
(/ 1 (- x y))
Outputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) x))))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))))) (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) x)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x)))))) (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) x))))) (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))))) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) x)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (neg.f64 (/.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (/.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(fma.f64 x (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) x))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) x))) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (*.f64 y y) x))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) (/.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))))))))
(/.f64 (+.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (/.f64 (*.f64 y y) x) x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) x)))))
(/.f64 (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(/.f64 (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (/.f64 (*.f64 y y) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) (/.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) x))))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (/.f64 (*.f64 y y) x) x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) x))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 y y) x) x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (*.f64 y y) x)))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
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(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 x y))))
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(/.f64 (/.f64 (-.f64 x y) (fabs.f64 y)) #s(literal 1 binary64))
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(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(pow.f64 (fabs.f64 (/.f64 y (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (/.f64 y (-.f64 x y))) (fabs.f64 (/.f64 y (-.f64 x y)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 (/.f64 y (-.f64 x y))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fabs.f64 y)))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x y) (fabs.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) (fabs.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (-.f64 x y))
(*.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 y (-.f64 x y))) #s(literal -1/2 binary64)))
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(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (fabs.f64 (/.f64 y (-.f64 x y)))))))
(fabs.f64 (/.f64 y (-.f64 x y)))
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(*.f64 (fabs.f64 (/.f64 y (-.f64 (*.f64 x x) (*.f64 y y)))) (fabs.f64 (+.f64 x y)))
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(+.f64 (*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 y (-.f64 (*.f64 x x) (*.f64 y y))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (-.f64 x y))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 y x))
(/.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(/.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (-.f64 x y))
(/.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (-.f64 x y))
(pow.f64 (-.f64 x y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64))))
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(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
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(*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y y)))
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(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))

simplify254.0ms (4%)

Algorithm
egg-herbie
Rules
2818×*-lowering-*.f32
2818×*-lowering-*.f64
1992×--lowering--.f32
1992×--lowering--.f64
1806×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01971181
16421113
217181067
364561067
083271067
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(/ (- y x) y)
(/ (- y x) y)
(/ (- y x) y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ 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)
(/ x y)
-1
(- (* -1 (/ x y)) 1)
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(/ y x)
(/ (+ y (/ (pow y 2) x)) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
(/ y x)
(* y (+ (/ 1 x) (/ y (pow x 2))))
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
-1
(- (* -1 (/ x y)) 1)
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
-1
(- (* -1 (/ x y)) 1)
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x))))))
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x))))))
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x))))))
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x))))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (- x y))))
(/ 1 (fabs (/ y (+ x (* -1 y)))))
(/ 1 (fabs (/ y (+ x (* -1 y)))))
(/ 1 (fabs (/ y (+ x (* -1 y)))))
(/ 1 (fabs (/ y (+ x (* -1 y)))))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (* -1 (/ y (+ y (* -1 x)))))
(fabs (* -1 (/ y (+ y (* -1 x)))))
(fabs (* -1 (/ y (+ y (* -1 x)))))
(fabs (* -1 (/ y (+ y (* -1 x)))))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (/ y (- x y)))
(fabs (/ y (+ x (* -1 y))))
(fabs (/ y (+ x (* -1 y))))
(fabs (/ y (+ x (* -1 y))))
(fabs (/ y (+ x (* -1 y))))
(/ -1 y)
(- (* -1 (/ x (pow y 2))) (/ 1 y))
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (/ y x)) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x))
(/ 1 x)
(+ (/ 1 x) (/ y (pow x 2)))
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ -1 y)
(/ (- (* -1 (/ x y)) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y)
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (/ x y)) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y))
Outputs
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (-.f64 #s(literal 0 binary64) y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (-.f64 #s(literal 0 binary64) y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.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 y)
(/.f64 x y)
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y))
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y)) y)))
(/ y x)
(/.f64 y x)
(/ (+ y (/ (pow y 2) x)) x)
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)) x))
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)
(/.f64 (+.f64 (+.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 y y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
(/.f64 (+.f64 y (/.f64 (+.f64 (*.f64 y y) (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) x)) x)) x)) x)
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ y (pow x 2))))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)) x))
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
(*.f64 y (+.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y)) y)))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y)) y)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x))))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x))))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x))))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x))))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (- x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (+ x (* -1 y)))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (+ x (* -1 y)))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (+ x (* -1 y)))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/ 1 (fabs (/ y (+ x (* -1 y)))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (* -1 (/ y (+ y (* -1 x)))))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (* -1 (/ y (+ y (* -1 x)))))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (* -1 (/ y (+ y (* -1 x)))))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (* -1 (/ y (+ y (* -1 x)))))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (- x y)))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (+ x (* -1 y))))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (+ x (* -1 y))))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (+ x (* -1 y))))
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs (/ y (+ x (* -1 y))))
(fabs.f64 (/.f64 y (-.f64 y x)))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (* -1 (/ x (pow y 2))) (/ 1 y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y)) y)
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(+.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ y x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)) x)
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)) x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)) x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ y (pow x 2)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)) x)
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))
(+.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (* -1 (/ x y)) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y)) y)
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y)) y))) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ x y)) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) y)) y))) y)

eval70.0ms (1.1%)

Compiler

Compiled 7887 to 1117 computations (85.8% saved)

prune97.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4402442
Fresh000
Picked112
Done000
Total4413444
Accuracy
100.0%
Counts
444 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
52.3%
(fabs.f64 #s(literal 1 binary64))
Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
cost-diff0
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff6400
(fabs.f64 #s(literal 1 binary64))
Rules
48×*-lowering-*.f32
48×*-lowering-*.f64
30×/-lowering-/.f32
30×/-lowering-/.f64
20×fabs-mul
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0822
11819
23019
34819
47419
58319
08319
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(fabs 1)
1
(/ 1 (fabs (* (/ 1 x) y)))
1
(fabs (* (/ 1 x) y))
(* (/ 1 x) y)
(/ 1 x)
x
y
Outputs
(fabs 1)
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(/ 1 (fabs (* (/ 1 x) y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
1
#s(literal 1 binary64)
(fabs (* (/ 1 x) y))
(fabs.f64 (/.f64 y x))
(* (/ 1 x) y)
(/.f64 y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
y

localize65.0ms (1%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
accuracy100.0%
(fabs.f64 #s(literal 1 binary64))
Results
55.0ms256×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-fabs: 28.0ms (81.1% of total)
ival-div: 4.0ms (11.6% of total)
ival-mult: 2.0ms (5.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
5 → 84
Calls
Call 1
Inputs
#<alt (fabs 1)>
#<alt (* (/ 1 x) y)>
#<alt (/ 1 (fabs (* (/ 1 x) y)))>
#<alt (fabs (* (/ 1 x) y))>
#<alt (/ 1 x)>
Outputs
#<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 (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (/ 1 (fabs (/ y x)))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y x))>
#<alt (fabs (/ y 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 (/ 1 x)>
Calls

21 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* (/ 1 x) y)
1.0ms
y
@-inf
(/ 1 (fabs (* (/ 1 x) y)))
0.0ms
y
@inf
(/ 1 (fabs (* (/ 1 x) y)))
0.0ms
x
@0
(/ 1 (fabs (* (/ 1 x) y)))
0.0ms
x
@-inf
(/ 1 (fabs (* (/ 1 x) y)))

rewrite192.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1896×*-lowering-*.f32
1896×*-lowering-*.f64
1264×pow-lowering-pow.f64
1264×pow-lowering-pow.f32
1154×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0817
13414
214113
352913
4283412
0878412
Stop Event
iter limit
node limit
Counts
5 → 645
Calls
Call 1
Inputs
(fabs 1)
(* (/ 1 x) y)
(/ 1 (fabs (* (/ 1 x) y)))
(fabs (* (/ 1 x) y))
(/ 1 x)
Outputs
#s(literal 1 binary64)
(+.f64 (/.f64 y x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y x)))))
(fabs.f64 (/.f64 y x))
(-.f64 (/.f64 y x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) (/.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (/.f64 y x))
(sqrt.f64 (/.f64 y (*.f64 x (/.f64 x y))))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fabs.f64 y)) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (fabs.f64 y) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (fabs.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (fabs.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (fabs.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (fabs.f64 y) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (fabs.f64 y))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (fabs.f64 y))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 y))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (fabs.f64 y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (fabs.f64 y))) #s(literal 0 binary64))
(fma.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (fabs.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (fabs.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (fabs.f64 y) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 y) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fabs.f64 y) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (fabs.f64 y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (fabs.f64 y) #s(literal -1/2 binary64))) (pow.f64 (fabs.f64 y) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (fabs.f64 y) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 y) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (fabs.f64 y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (fabs.f64 y) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 y))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 y) (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 y) (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (/.f64 y (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 y (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)) (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)) (*.f64 x x)) x #s(literal 0 binary64))
(neg.f64 (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 y (*.f64 x (/.f64 x y)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
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(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Rules
16×/-lowering-/.f32
16×/-lowering-/.f64
16×*-lowering-*.f32
16×*-lowering-*.f64
fabs-lowering-fabs.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07312
114312
216312
320312
424312
534312
634312
034312
Stop Event
iter limit
saturated
Counts
84 → 84
Calls
Call 1
Inputs
(/ 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 x)
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(/ 1 (fabs (/ y x)))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(fabs (/ y x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
(/ 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)
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/ 1 (fabs (/ y x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y x))
(fabs (/ y x))
(fabs.f64 (/.f64 y 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)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

eval133.0ms (2.1%)

Compiler

Compiled 8398 to 1485 computations (82.3% saved)

prune95.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New7218729
Fresh000
Picked202
Done011
Total7239732
Accuracy
100.0%
Counts
732 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.9%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x))
8.3%
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 x x)))
23.8%
(/.f64 x y)
12.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 y x)))
28.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
28.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)))
29.0%
(neg.f64 (/.f64 x y))
100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
52.3%
#s(literal 1 binary64)
Compiler

Compiled 154 to 102 computations (33.8% saved)

simplify193.0ms (3%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (/.f64 x y))
cost-diff0
(/.f64 y (*.f64 x (/.f64 x y)))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 y x)))
cost-diff512
(/.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 y x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 #s(literal 0 binary64) y)
cost-diff128
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 #s(literal -1 binary64) (/.f64 x y))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
cost-diff0
(/.f64 x y)
Rules
3254×*-lowering-*.f32
3254×*-lowering-*.f64
2410×/-lowering-/.f32
2410×/-lowering-/.f64
1114×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01782
14375
211075
332060
4109659
5274159
0803259
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
1
(/ x y)
x
y
(/ 1 (/ -1 (/ x y)))
1
(/ -1 (/ x y))
-1
(/ x y)
x
y
(/ (/ 1 (- 0 y)) (/ 1 x))
(/ 1 (- 0 y))
1
(- 0 y)
0
y
(/ 1 x)
x
(/ 1 (/ (/ y (* x (/ x y))) (/ y x)))
1
(/ (/ y (* x (/ x y))) (/ y x))
(/ y (* x (/ x y)))
y
(* x (/ x y))
x
(/ x y)
(/ y x)
Outputs
1
#s(literal 1 binary64)
(/ x y)
(/.f64 x y)
x
y
(/ 1 (/ -1 (/ x y)))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(/ -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
-1
#s(literal -1 binary64)
(/ x y)
(/.f64 x y)
x
y
(/ (/ 1 (- 0 y)) (/ 1 x))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(/ 1 (- 0 y))
(/.f64 #s(literal -1 binary64) y)
1
#s(literal 1 binary64)
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ 1 (/ (/ y (* x (/ x y))) (/ y x)))
(/.f64 x y)
1
#s(literal 1 binary64)
(/ (/ y (* x (/ x y))) (/ y x))
(/.f64 y x)
(/ y (* x (/ x y)))
(/.f64 y (/.f64 x (/.f64 y x)))
y
(* x (/ x y))
(/.f64 x (/.f64 y x))
x
(/ x y)
(/.f64 x y)
(/ y x)
(/.f64 y x)

localize99.0ms (1.6%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 x (/.f64 x y))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 y x)))
accuracy90.3%
(/.f64 y (*.f64 x (/.f64 x y)))
accuracy49.1%
(/.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 y x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(-.f64 #s(literal 0 binary64) y)
accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(/.f64 x y)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
accuracy98.7%
(/.f64 #s(literal -1 binary64) (/.f64 x y))
accuracy100.0%
(/.f64 x y)
Results
76.0ms256×0valid
Compiler

Compiled 97 to 18 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 26.0ms (86.9% of total)
ival-mult: 2.0ms (6.7% of total)
ival-sub: 1.0ms (3.3% of total)
const: 1.0ms (3.3% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts
11 → 228
Calls
Call 1
Inputs
#<alt (/ x y)>
#<alt (/ 1 (/ -1 (/ x y)))>
#<alt (/ -1 (/ x y))>
#<alt (/ (/ 1 (- 0 y)) (/ 1 x))>
#<alt (/ 1 (- 0 y))>
#<alt (- 0 y)>
#<alt (/ 1 x)>
#<alt (/ (/ y (* x (/ x y))) (/ y x))>
#<alt (/ 1 (/ (/ y (* x (/ x y))) (/ y x)))>
#<alt (/ y (* x (/ x y)))>
#<alt (* x (/ x y))>
Outputs
#<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 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ 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 (* -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 (/ 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 (/ 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 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 (/ (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 x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
Calls

57 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/ y (* x (/ x y)))
4.0ms
y
@0
(/ y (* x (/ x y)))
0.0ms
y
@inf
(/ y (* x (/ x y)))
0.0ms
x
@inf
(* x (/ x y))
0.0ms
y
@-inf
(* x (/ x y))

rewrite96.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
502×/-lowering-/.f32
502×/-lowering-/.f64
412×*-lowering-*.f32
412×*-lowering-*.f64
102×frac-2neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01760
111650
082150
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
11 → 269
Calls
Call 1
Inputs
(/ x y)
(/ 1 (/ -1 (/ x y)))
(/ -1 (/ x y))
(/ (/ 1 (- 0 y)) (/ 1 x))
(/ 1 (- 0 y))
(- 0 y)
(/ 1 x)
(/ (/ y (* x (/ x y))) (/ y x))
(/ 1 (/ (/ y (* x (/ x y))) (/ y x)))
(/ y (* x (/ x y)))
(* x (/ x y))
Outputs
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) y)
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(/.f64 x (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y)
(pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 y (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) x)
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 x y))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) y)
(pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) y)
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(neg.f64 (/.f64 x y))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(/.f64 x (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y)
(pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) y)
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(neg.f64 y)
(neg.f64 (/.f64 y #s(literal 1 binary64)))
(/.f64 y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x))))
(/.f64 x (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) y))
(/.f64 y (*.f64 (/.f64 x (/.f64 y x)) (/.f64 y x)))
(/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 y x)) (/.f64 y x))))
(/.f64 (/.f64 x y) (/.f64 (/.f64 x (/.f64 y x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (/.f64 y x)) (/.f64 y x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))) (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (*.f64 (/.f64 x (/.f64 y x)) (/.f64 y x))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y x) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x)))))
(/.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 y x))
(/.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 x y)))
(/.f64 (/.f64 x (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) y)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x (/.f64 y x)))) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x) y)
(/.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 y x) (*.f64 (/.f64 x (/.f64 y x)) y))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 x (/.f64 y x)) (/.f64 y x)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 x (/.f64 y x)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (/.f64 y x) x) (*.f64 (/.f64 x y) y))
(/.f64 (*.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) (/.f64 y x)))
(/.f64 (*.f64 (/.f64 y x) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (/.f64 y x) (/.f64 x y)) (/.f64 x y))
(/.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (*.f64 y (/.f64 x y)) (/.f64 x (/.f64 y x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x y)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))))
(/.f64 (/.f64 y (/.f64 y x)) (/.f64 x (/.f64 y x)))
(pow.f64 (/.f64 y (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x)) #s(literal -1 binary64))
(*.f64 x (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) y))
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 y x)) (/.f64 y x))))
(*.f64 y (*.f64 (/.f64 (/.f64 y x) x) (/.f64 x y)))
(*.f64 y (/.f64 (/.f64 (/.f64 y x) x) (/.f64 y x)))
(*.f64 (/.f64 x y) (/.f64 y (/.f64 x (/.f64 y x))))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) y)))
(*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 x y))
(*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 x (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x (/.f64 y x)))) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) y) x)
(*.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 y y) (/.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) y))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) y))))
(/.f64 y (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x (/.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 y x) (/.f64 y (/.f64 x (/.f64 y x))))
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) y) x)
(/.f64 (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) #s(literal 1 binary64)) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) x)
(/.f64 (/.f64 (/.f64 y x) y) (/.f64 (/.f64 y x) x))
(pow.f64 (/.f64 x (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) y)) #s(literal -1 binary64))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 x (/.f64 y x)))))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x)))))
(*.f64 (/.f64 y x) (/.f64 (/.f64 x (/.f64 y x)) y))
(*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 y x))
(*.f64 (/.f64 y (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x (/.f64 y x)) (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) x)))
(*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (/.f64 x (/.f64 y x)) y))
(*.f64 (pow.f64 (/.f64 x (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 y x) y) (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x (/.f64 y x))))) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(*.f64 (/.f64 (/.f64 y x) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))))
(*.f64 (/.f64 (/.f64 y x) (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x)))) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x (/.f64 y x)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x (/.f64 y x)))))
(/.f64 y (/.f64 x (/.f64 y x)))
(/.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (/.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 y x)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))))
(/.f64 (/.f64 y x) (/.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))) (*.f64 y y)))
(/.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))) y))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 x (/.f64 y x)))
(/.f64 (/.f64 y (/.f64 x y)) x)
(pow.f64 (/.f64 (/.f64 x (/.f64 y x)) y) #s(literal -1 binary64))
(*.f64 y (/.f64 (/.f64 y x) x))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x)))))
(*.f64 (/.f64 y x) (/.f64 y x))
(*.f64 (/.f64 (/.f64 y x) x) y)
(*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x))
(*.f64 (/.f64 y (*.f64 x x)) y)
(*.f64 (/.f64 (/.f64 y x) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 x (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x)))
(/.f64 (*.f64 x x) y)
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y))

simplify31.0ms (0.5%)

Algorithm
egg-herbie
Rules
196×sum3-define
118×fma-define
64×+-lowering-+.f64
64×+-lowering-+.f32
42×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016876
130804
248780
370780
479780
5103780
6121780
7169780
8316780
9373780
10378780
11379780
0379780
Stop Event
iter limit
saturated
Counts
228 → 228
Calls
Call 1
Inputs
(/ 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 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ 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)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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 x)
(/ 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)
(/ (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 x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
Outputs
(/ 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 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
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(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
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(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
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(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
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(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ x y))
(*.f64 x (/.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)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) 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)
(/ 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 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)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow y 2) (pow x 2))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)

eval95.0ms (1.5%)

Compiler

Compiled 5684 to 705 computations (87.6% saved)

prune48.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5734577
Fresh213
Picked325
Done011
Total5788586
Accuracy
100.0%
Counts
586 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.5%
(/.f64 (/.f64 y x) (/.f64 y (/.f64 x (/.f64 y x))))
28.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))
23.8%
(/.f64 x y)
13.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 (/.f64 x (/.f64 y x)) y)))
28.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
29.0%
(neg.f64 (/.f64 x y))
100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
52.3%
#s(literal 1 binary64)
Compiler

Compiled 198 to 95 computations (52% saved)

regimes312.0ms (4.9%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 x y)
(neg.f64 (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 x x)))
(/.f64 (/.f64 y x) (/.f64 y (/.f64 x (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 (/.f64 x (/.f64 y x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 y x)))
(fabs.f64 #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y)))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
Calls

3 calls:

300.0ms
y
5.0ms
x
5.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.2%)

Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 x y)
(neg.f64 (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 x x)))
(/.f64 (/.f64 y x) (/.f64 y (/.f64 x (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 (/.f64 x (/.f64 y x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 y x)))
(fabs.f64 #s(literal 1 binary64))
Outputs
(neg.f64 (/.f64 x y))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
Calls

2 calls:

4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
65.8%3x
61.3%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 x y)
(neg.f64 (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
Outputs
(neg.f64 (/.f64 x y))
#s(literal 1 binary64)
(neg.f64 (/.f64 x y))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
65.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
61.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
52.3%1y
52.3%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch297.0ms (4.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
7.165703548117009e+58
5.115896547638369e+62
283.0ms
-1.5722025700745735e+81
-4.905275096982771e+76
Results
286.0ms256×0valid
Compiler

Compiled 214 to 178 computations (16.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-fabs: 3.0ms (45.5% of total)
ival-sub: 2.0ms (30.3% of total)
ival-div: 2.0ms (30.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
7.165703548117009e+58
5.115896547638369e+62
15.0ms
-1.5722025700745735e+81
-4.905275096982771e+76
Results
15.0ms256×0valid
Compiler

Compiled 190 to 154 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-fabs: 3.0ms (45.8% of total)
ival-sub: 2.0ms (30.5% of total)
ival-div: 2.0ms (30.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
5.6765067261145415e+104
4.230757536230083e+108
10.0ms
-1.7049792083462546e+132
-8.756146306271512e+130
Results
15.0ms240×0valid
Compiler

Compiled 164 to 130 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-fabs: 4.0ms (52% of total)
ival-sub: 2.0ms (26% of total)
ival-div: 2.0ms (26% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×+-commutative_binary64
12×sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02854
14654
25554
36354
47054
Stop Event
saturated
Calls
Call 1
Inputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 x #s(literal -149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) (neg.f64 (/.f64 x y)) (if (<=.f64 x #s(literal 209999999999999984019119564738194408093793066877209353912320 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))))
(if (<=.f64 x #s(literal -7499999999999999343793916924645128878317507065649858689265552055579786579279872 binary64)) (neg.f64 (/.f64 x y)) (if (<=.f64 x #s(literal 400000000000000014008798743772644692184321271193247302419480576 binary64)) #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(if (<=.f64 x #s(literal -749999999999999953720169355376478210485916537343249878908329899422805195800906322905060428992695566362935434996956846237114106380288 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 41000000000000002306550777630965575040966631915630236107308499670692326425642155475765228565584915652935680 binary64)) #s(literal 1 binary64) (/.f64 x y)))
#s(literal 1 binary64)
Outputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 x #s(literal -149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) (neg.f64 (/.f64 x y)) (if (<=.f64 x #s(literal 209999999999999984019119564738194408093793066877209353912320 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))))
(if (<=.f64 x #s(literal -149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 209999999999999984019119564738194408093793066877209353912320 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))))
(if (<=.f64 x #s(literal -7499999999999999343793916924645128878317507065649858689265552055579786579279872 binary64)) (neg.f64 (/.f64 x y)) (if (<=.f64 x #s(literal 400000000000000014008798743772644692184321271193247302419480576 binary64)) #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(if (<=.f64 x #s(literal -7499999999999999343793916924645128878317507065649858689265552055579786579279872 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 400000000000000014008798743772644692184321271193247302419480576 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -749999999999999953720169355376478210485916537343249878908329899422805195800906322905060428992695566362935434996956846237114106380288 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 41000000000000002306550777630965575040966631915630236107308499670692326425642155475765228565584915652935680 binary64)) #s(literal 1 binary64) (/.f64 x y)))
#s(literal 1 binary64)

soundness1.7s (26.2%)

Rules
2818×*-lowering-*.f32
2818×*-lowering-*.f64
2354×fma-lowering-fma.f32
2354×fma-lowering-fma.f64
2322×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0817
13414
214113
352913
4283412
0878412
0615
13615
225915
3254115
0880715
01971181
16421113
217181067
364561067
083271067
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 231 to 156 computations (32.5% saved)

preprocess33.0ms (0.5%)

Compiler

Compiled 146 to 70 computations (52.1% saved)

end0.0ms (0%)

Profiling

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