Data.Colour.RGB:hslsv from colour-2.3.3, C

Time bar (total: 7.7s)

analyze40.0ms (0.5%)

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
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
79.7%79.6%20.3%0.1%0%0%0%7
83.6%83.5%16.4%0.1%0%0%0%8
90.2%90.1%9.8%0.1%0%0%0%9
92%91.9%8%0.1%0%0%0%10
95.2%95.1%4.8%0.1%0%0%0%11
96%96%4%0.1%0%0%0%12
Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sub: 23.0ms (86.8% of total)
ival-add: 2.0ms (7.5% of total)
ival-div: 1.0ms (3.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample836.0ms (10.9%)

Results
506.0ms8254×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 236.0ms
ival-div: 92.0ms (39% of total)
ival-sub: 89.0ms (37.8% of total)
ival-add: 42.0ms (17.8% of total)
const: 10.0ms (4.2% of total)
backward-pass: 3.0ms (1.3% of total)
Bogosity

preprocess161.0ms (2.1%)

Algorithm
egg-herbie
Rules
2564×sum4-define
2496×sum3-define
1868×fnmadd-define
1278×fnmsub-define
1196×fmsub-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02360
17856
218755
359554
4179352
5426152
6722152
079
1179
2349
3819
42229
55028
612428
723008
827228
928768
1028958
1129038
029038
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(/ (- x y) (- 2 (+ x y)))
Outputs
(/ (- x y) (- 2 (+ x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Call 2
Inputs
(/ (- x y) (- 2 (+ x y)))
(/ (- (neg x) y) (- 2 (+ (neg x) y)))
(/ (- x (neg y)) (- 2 (+ x (neg y))))
(neg (/ (- (neg x) y) (- 2 (+ (neg x) y))))
(neg (/ (- x (neg y)) (- 2 (+ x (neg y)))))
(/ (- y x) (- 2 (+ y x)))
Outputs
(/ (- x y) (- 2 (+ x y)))
(/ (- y x) (sum3 x y -2))
(/ (- (neg x) y) (- 2 (+ (neg x) y)))
(/ (+ x y) (+ (- y x) -2))
(/ (- x (neg y)) (- 2 (+ x (neg y))))
(/ (+ x y) (+ y (- 2 x)))
(neg (/ (- (neg x) y) (- 2 (+ (neg x) y))))
(/ (+ x y) (+ (- x y) 2))
(neg (/ (- x (neg y)) (- 2 (+ x (neg y)))))
(/ (+ x y) (sum3 x (neg y) -2))
(/ (- y x) (- 2 (+ y x)))
(/ (- x y) (sum3 x y -2))

explain69.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 #s(literal 2 binary64) (+.f64 x y))
00-0-(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
00-0-(-.f64 x y)
00-0-(+.f64 x y)
00-0-y
00-0-#s(literal 2 binary64)
Results
41.0ms512×0valid
Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
const: 8.0ms (40.1% of total)
ival-sub: 6.0ms (30% of total)
ival-div: 3.0ms (15% of total)
ival-add: 3.0ms (15% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

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

Compiled 11 to 7 computations (36.4% saved)

simplify99.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Rules
682×fnmadd-define
582×fnmsub-define
582×fmsub-define
514×fmm-def
496×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0723
11723
23423
38123
422223
550222
6124222
7230022
8272222
9287622
10289522
11290322
0290322
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (- x y) (- 2 (+ x y)))
(- x y)
x
y
(- 2 (+ x y))
2
(+ x y)
Outputs
(/ (- x y) (- 2 (+ x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(- x y)
(-.f64 x y)
x
y
(- 2 (+ x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)

localize25.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
17.0ms256×0valid
Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (47.7% of total)
ival-div: 2.0ms (31.8% of total)
ival-add: 1.0ms (15.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/ (- x y) (- 2 (+ x y)))>
#<alt (- x y)>
#<alt (- 2 (+ x y))>
#<alt (+ x y)>
Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) 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 (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
Calls

24 calls:

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

rewrite582.0ms (7.6%)

Algorithm
batch-egg-rewrite
Rules
4698×*-lowering-*.f32
4698×*-lowering-*.f64
4208×/-lowering-/.f32
4208×/-lowering-/.f64
1782×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
15620
254020
0830420
Stop Event
iter limit
node limit
Counts
4 → 453
Calls
Call 1
Inputs
(/ (- x y) (- 2 (+ x y)))
(- x y)
(- 2 (+ x y))
(+ x y)
Outputs
(+.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64)))))) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -2 binary64)) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64))))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) x))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
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(*.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (-.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 (+.f64 x y))))))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 x y) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))
(*.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 y x)))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 1 binary64))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.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)))))
(*.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.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)))))
(*.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 x)) (*.f64 y (*.f64 (-.f64 y x) (*.f64 y (-.f64 y x))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))

simplify290.0ms (3.8%)

Algorithm
egg-herbie
Rules
3872×*-lowering-*.f32
3872×*-lowering-*.f64
3194×+-lowering-+.f64
3194×+-lowering-+.f32
1664×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0186951
1626873
22140795
08586795
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) 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)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (*.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 2 binary64) y)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (+.f64 (*.f64 x (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (+.f64 y #s(literal -2 binary64)))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 x x)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)))) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))) (*.f64 x x))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y (+.f64 (*.f64 y (-.f64 (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))))))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y (+.f64 (*.f64 y (-.f64 (-.f64 (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) y))))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) (*.f64 y y)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) y) (+.f64 x #s(literal -2 binary64)))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) y) (-.f64 #s(literal 2 binary64) x))) y)) y))
(* -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 (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
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 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))

eval105.0ms (1.4%)

Compiler

Compiled 15574 to 1555 computations (90% saved)

prune72.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New53811549
Fresh000
Picked011
Done000
Total53812550
Accuracy
100.0%
Counts
550 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
86.7%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
59.6%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
66.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
48.4%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
53.7%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
53.6%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
42.5%
(+.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64))
36.2%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) y))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
35.9%
#s(literal 1 binary64)
41.9%
#s(literal -1 binary64)
Compiler

Compiled 205 to 149 computations (27.3% saved)

simplify113.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 2 binary64) y)
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
cost-diff0
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
cost-diff0
(-.f64 #s(literal 2 binary64) x)
cost-diff0
(/.f64 x (-.f64 #s(literal 2 binary64) x))
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
Rules
1124×fnmadd-define
894×fnmsub-define
884×fmsub-define
736×fma-lowering-fma.f32
736×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01576
13375
26775
317075
445675
590174
6205774
7390174
8445274
9452074
10456374
11457174
0457174
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ 1 (- 2 (+ x y))) (- x y))
(/ 1 (- 2 (+ x y)))
1
(- 2 (+ x y))
2
(+ x y)
x
y
(- x y)
-1
(/ x (- 2 x))
x
(- 2 x)
2
(/ x (- 2 (+ x y)))
x
(- 2 (+ x y))
2
(+ x y)
y
(/ (- x y) (- 2 y))
(- x y)
x
y
(- 2 y)
2
Outputs
(* (/ 1 (- 2 (+ x y))) (- x y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/ 1 (- 2 (+ x y)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
1
#s(literal 1 binary64)
(- 2 (+ x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)
x
y
(- x y)
(-.f64 x y)
-1
#s(literal -1 binary64)
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
x
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(/ x (- 2 (+ x y)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
x
(- 2 (+ x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)
y
(/ (- x y) (- 2 y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(- x y)
(-.f64 x y)
x
y
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)

localize74.0ms (1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(-.f64 #s(literal 2 binary64) y)
accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy100.0%
(-.f64 #s(literal 2 binary64) x)
accuracy100.0%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
Results
48.0ms256×0valid
Compiler

Compiled 81 to 16 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (44.5% of total)
ival-sub: 5.0ms (31.8% of total)
ival-add: 2.0ms (12.7% of total)
ival-mult: 2.0ms (12.7% of total)
const: 1.0ms (6.4% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
10 → 204
Calls
Call 1
Inputs
#<alt (* (/ 1 (- 2 (+ x y))) (- x y))>
#<alt (/ 1 (- 2 (+ x y)))>
#<alt (- 2 (+ x y))>
#<alt (+ x y)>
#<alt (/ x (- 2 x))>
#<alt (- 2 x)>
#<alt (/ x (- 2 (+ x y)))>
#<alt (/ (- x y) (- 2 y))>
#<alt (- x y)>
#<alt (- 2 y)>
Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (/ 1 (- 2 y))>
#<alt (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))>
#<alt (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))>
#<alt (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))>
#<alt (/ -1 x)>
#<alt (/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)>
#<alt (/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)>
#<alt (/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))>
#<alt (/ 1 (- 2 x))>
#<alt (+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))>
#<alt (+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))>
#<alt (+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))>
#<alt (/ -1 y)>
#<alt (/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)>
#<alt 2>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (/ x (- 2 y))>
#<alt (* x (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2))))>
#<alt (* x (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y))))>
#<alt (* x (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* -1 (/ (- 2 y) x)) 1)>
#<alt (- (* -1 (/ (- (/ (pow (- 2 y) 2) x) (* -1 (- 2 y))) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 y) 3) x)) (pow (- 2 y) 2)) x)) (* -1 (- 2 y))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (/ x (- 2 x)) (/ (* x y) (pow (- 2 x) 2)))>
#<alt (+ (* y (- (/ (* x y) (pow (- 2 x) 3)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (/ (* x y) (pow (- 2 x) 4)) (* -1 (/ x (pow (- 2 x) 3))))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y)>
#<alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y)>
#<alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ (+ x (/ (* x (- 2 x)) y)) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y))>
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))>
#<alt (/ x (- 2 y))>
#<alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))>
#<alt (/ x (- 2 y))>
#<alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* y (- (* -1/2 (* y (+ 1/2 (* -1/4 x)))) (+ 1/2 (* -1/4 x)))))>
#<alt (+ (* 1/2 x) (* y (- (* y (- (* -1/4 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 (+ 1/2 (* -1/4 x))))) (+ 1/2 (* -1/4 x)))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y))))>
#<alt (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ (+ 2 (* -1 x)) (pow y 2))) (* 2 (/ 1 y)))))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* 2 (/ (- x 2) y))) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) 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 2>
#<alt (+ 2 (* -1 y))>
#<alt (+ 2 (* -1 y))>
#<alt (+ 2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
Calls

51 calls:

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

rewrite336.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
4326×*-lowering-*.f32
4326×*-lowering-*.f64
3988×/-lowering-/.f32
3988×/-lowering-/.f64
2624×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01452
110451
293351
0872951
Stop Event
iter limit
node limit
Counts
10 → 668
Calls
Call 1
Inputs
(* (/ 1 (- 2 (+ x y))) (- x y))
(/ 1 (- 2 (+ x y)))
(- 2 (+ x y))
(+ x y)
(/ x (- 2 x))
(- 2 x)
(/ x (- 2 (+ x y)))
(/ (- x y) (- 2 y))
(- x y)
(- 2 y)
Outputs
(+.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) y)))
(+.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 2 binary64) y) x)))
(+.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) y))))
(+.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))))
(+.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) y)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) y)) (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)))
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(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
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(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y))
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(-.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (/.f64 y (-.f64 (-.f64 #s(literal 2 binary64) y) x)))
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(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (-.f64 (-.f64 #s(literal 2 binary64) y) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 (-.f64 #s(literal 2 binary64) y) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 2 binary64) y) x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 2 binary64) y) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) x (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) x (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 2 binary64) y) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 2 binary64) y) x)))
(fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) y)))
(fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 2 binary64) y) x)))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) (+.f64 x y)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) y)))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 2 binary64) y) x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 x y)))
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(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y))) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (*.f64 (+.f64 #s(literal 2 binary64) y) (*.f64 y y))) (*.f64 (+.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (*.f64 y y))) (+.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (*.f64 y y))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (+.f64 (*.f64 y y) (-.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y))))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y))))) (*.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 2 binary64) y))))))
(/.f64 (-.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))))) (+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 2 binary64) y)))) (+.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 2 binary64) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))
(*.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 y #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))))
(*.f64 (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 #s(literal -2 binary64) y))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y))))))
(*.f64 (+.f64 #s(literal -4 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64))))

simplify268.0ms (3.5%)

Algorithm
egg-herbie
Rules
2862×*-lowering-*.f32
2862×*-lowering-*.f64
2310×+-lowering-+.f64
2310×+-lowering-+.f32
1692×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04792341
116352146
254372108
081142108
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(/ 1 (- 2 y))
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))
(/ -1 x)
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))
(/ 1 (- 2 x))
(+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))
(+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))
(+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))
(/ -1 y)
(/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
2
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(/ x (- 2 y))
(* x (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2))))
(* x (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y))))
(* x (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))
-1
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* -1 (/ (- 2 y) x)) 1)
(- (* -1 (/ (- (/ (pow (- 2 y) 2) x) (* -1 (- 2 y))) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 y) 3) x)) (pow (- 2 y) 2)) x)) (* -1 (- 2 y))) x)) 1)
(/ x (- 2 x))
(+ (/ x (- 2 x)) (/ (* x y) (pow (- 2 x) 2)))
(+ (* y (- (/ (* x y) (pow (- 2 x) 3)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (/ (* x y) (pow (- 2 x) 4)) (* -1 (/ x (pow (- 2 x) 3))))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y)
(* -1 (/ x y))
(* -1 (/ (+ x (/ (* x (- 2 x)) y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(/ x (- 2 y))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(/ x (- 2 y))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* 1/2 x)
(+ (* -1 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 x))
(+ (* 1/2 x) (* y (- (* -1/2 (* y (+ 1/2 (* -1/4 x)))) (+ 1/2 (* -1/4 x)))))
(+ (* 1/2 x) (* y (- (* y (- (* -1/4 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 (+ 1/2 (* -1/4 x))))) (+ 1/2 (* -1/4 x)))))
1
(+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ (+ 2 (* -1 x)) (pow y 2))) (* 2 (/ 1 y)))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2))))
1
(+ 1 (* -1 (/ (- x 2) y)))
(+ 1 (* -1 (/ (- (+ x (* 2 (/ (- x 2) y))) 2) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) 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)))))
2
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(* -1 y)
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y)))) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(-.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 2 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))))) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(-.f64 (*.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 #s(literal 2 binary64) y)))))) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) x)) (-.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(-.f64 (+.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x x)) (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) x)))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
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(/.f64 x (-.f64 #s(literal 2 binary64) y))
(* x (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))))
(* x (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))))))
(* x (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)))))))))
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64))
(- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 (*.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) (-.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x)))))
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x x)) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) (-.f64 (/.f64 y x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x x)))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- 2 y) x)) 1)
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(- (* -1 (/ (- (/ (pow (- 2 y) 2) x) (* -1 (- 2 y))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (-.f64 #s(literal 0 binary64) x)))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 y) 3) x)) (pow (- 2 y) 2)) x)) (* -1 (- 2 y))) x)) 1)
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))) x)) #s(literal -2 binary64)) x)))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (/ x (- 2 x)) (/ (* x y) (pow (- 2 x) 2)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 y x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))
(+ (* y (- (/ (* x y) (pow (- 2 x) 3)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y (+.f64 (/.f64 (/.f64 (*.f64 y x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 2 binary64) x)) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))))
(+ (* y (- (* y (- (/ (* x y) (pow (- 2 x) 4)) (* -1 (/ x (pow (- 2 x) 3))))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) x))) y) x) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 (-.f64 #s(literal 2 binary64) x) y))))) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y)
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 y (*.f64 y y)))) (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 (-.f64 #s(literal 2 binary64) x) y))))) y)
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ (+ x (/ (* x (- 2 x)) y)) y))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) x))) y) x) y)
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y))
(/.f64 (-.f64 x (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) y)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y))
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) y)) (-.f64 #s(literal 0 binary64) y)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ y (- 2 y)))
(/.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) x)))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) x)))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) x)))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(+ (* 1/2 x) (* y (- (* -1/2 (* y (+ 1/2 (* -1/4 x)))) (+ 1/2 (* -1/4 x)))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(+ (* 1/2 x) (* y (- (* y (- (* -1/4 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 (+ 1/2 (* -1/4 x))))) (+ 1/2 (* -1/4 x)))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (-.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64))) (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ (+ 2 (* -1 x)) (pow y 2))) (* 2 (/ 1 y)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 y y)))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 y y)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- x 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(+ 1 (* -1 (/ (- (+ x (* 2 (/ (- x 2) y))) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)) y) #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 8 binary64)) y) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x))) y))) y))
(* -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 (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)))
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 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))))
2
#s(literal 2 binary64)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* 2 (/ 1 y)) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)))
(* y (- (* 2 (/ 1 y)) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)))
(* y (- (* 2 (/ 1 y)) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)) (-.f64 #s(literal 0 binary64) y))

eval165.0ms (2.2%)

Compiler

Compiled 26133 to 2640 computations (89.9% saved)

prune195.0ms (2.5%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New113151136
Fresh246
Picked055
Done011
Total1133151148
Accuracy
100.0%
Counts
1148 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
86.7%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
59.6%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
66.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
26.0%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
48.4%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
53.7%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
53.6%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
14.0%
(/.f64 x #s(literal 2 binary64))
53.5%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
42.5%
(-.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal 1 binary64))
36.2%
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
35.9%
#s(literal 1 binary64)
41.9%
#s(literal -1 binary64)
Compiler

Compiled 206 to 154 computations (25.2% saved)

simplify166.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))
cost-diff0
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
cost-diff0
(+.f64 y #s(literal -2 binary64))
cost-diff0
(/.f64 y (+.f64 y #s(literal -2 binary64)))
cost-diff0
(-.f64 x y)
cost-diff256
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
cost-diff256
(-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
cost-diff256
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
Rules
2236×sum3-define
1832×fnmsub-define
1688×fma-lowering-fma.f32
1688×fma-lowering-fma.f64
1500×fmm-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02199
14999
210196
326187
472487
5190086
6613686
0855286
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- x y) (- 2 (* x (+ 1 (/ y x)))))
(- x y)
x
y
(- 2 (* x (+ 1 (/ y x))))
2
(* x (+ 1 (/ y x)))
(+ 1 (/ y x))
1
(/ y x)
1
(/ y (+ y -2))
y
(+ y -2)
-2
(/ 1 (+ (/ 2 x) -1))
1
(+ (/ 2 x) -1)
(/ 2 x)
2
x
-1
(- 1 (/ (+ (* 2 x) -2) y))
1
(/ (+ (* 2 x) -2) y)
(+ (* 2 x) -2)
(* 2 x)
2
x
-2
y
Outputs
(/ (- x y) (- 2 (* x (+ 1 (/ y x)))))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(- x y)
(-.f64 x y)
x
y
(- 2 (* x (+ 1 (/ y x))))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
2
#s(literal 2 binary64)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
1
#s(literal 1 binary64)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(/ y (+ y -2))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
y
(+ y -2)
(+.f64 y #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ 1 (+ (/ 2 x) -1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ (/ 2 x) -1)
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
-1
#s(literal -1 binary64)
(- 1 (/ (+ (* 2 x) -2) y))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))) y))
1
#s(literal 1 binary64)
(/ (+ (* 2 x) -2) y)
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))) y)
(+ (* 2 x) -2)
(+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
x
-2
#s(literal -2 binary64)
y

localize95.0ms (1.2%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y))
accuracy100.0%
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy100.0%
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
accuracy100.0%
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
accuracy100.0%
(+.f64 y #s(literal -2 binary64))
accuracy100.0%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
accuracy100.0%
(-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
accuracy87.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
Results
66.0ms255×0valid
1.0ms2valid
Compiler

Compiled 106 to 22 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 10.0ms (41.8% of total)
ival-add: 5.0ms (20.9% of total)
ival-mult: 4.0ms (16.7% of total)
ival-sub: 4.0ms (16.7% of total)
const: 1.0ms (4.2% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
14 → 252
Calls
Call 1
Inputs
#<alt (/ (- x y) (- 2 (* x (+ 1 (/ y x)))))>
#<alt (- 2 (* x (+ 1 (/ y x))))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (- x y)>
#<alt (/ y (+ y -2))>
#<alt (+ y -2)>
#<alt (/ 1 (+ (/ 2 x) -1))>
#<alt (+ (/ 2 x) -1)>
#<alt (/ 2 x)>
#<alt (- 1 (/ (+ (* 2 x) -2) y))>
#<alt (/ (+ (* 2 x) -2) y)>
#<alt (+ (* 2 x) -2)>
#<alt (* 2 x)>
#<alt (+ 1 (/ y x))>
Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<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 (* -1/2 y)>
#<alt (* y (- (* -1/4 y) 1/2))>
#<alt (* y (- (* y (- (* -1/8 y) 1/4)) 1/2))>
#<alt (* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))>
#<alt -2>
#<alt (- y 2)>
#<alt (- y 2)>
#<alt (- y 2)>
#<alt y>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt y>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1 x)) x)>
#<alt (/ (+ 2 (* -1 x)) x)>
#<alt (/ (+ 2 (* -1 x)) x)>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (+ 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))>
#<alt (+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))>
#<alt (+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))>
#<alt (* -2 (/ x y))>
#<alt (* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))>
#<alt (* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))>
#<alt (* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))>
#<alt (* -2 (/ x y))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))>
#<alt (/ (- 2 (* 2 x)) y)>
#<alt (/ (- (+ 2 y) (* 2 x)) y)>
#<alt (/ (- (+ 2 y) (* 2 x)) y)>
#<alt (/ (- (+ 2 y) (* 2 x)) y)>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))>
#<alt (- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))>
#<alt (- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (/ -2 y)>
#<alt (- (* 2 (/ x y)) (* 2 (/ 1 y)))>
#<alt (- (* 2 (/ x y)) (* 2 (/ 1 y)))>
#<alt (- (* 2 (/ x y)) (* 2 (/ 1 y)))>
#<alt (* 2 (/ x y))>
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))>
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))>
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))>
#<alt (* 2 (/ x y))>
#<alt (* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))>
#<alt (/ (- (* 2 x) 2) y)>
#<alt (/ (- (* 2 x) 2) y)>
#<alt (/ (- (* 2 x) 2) y)>
#<alt (/ (- (* 2 x) 2) y)>
#<alt (/ (- (* 2 x) 2) y)>
#<alt (/ (- (* 2 x) 2) y)>
#<alt (/ (- (* 2 x) 2) y)>
#<alt (/ (- (* 2 x) 2) y)>
#<alt (/ (- (* 2 x) 2) y)>
#<alt (/ (- (* 2 x) 2) y)>
#<alt (/ (- (* 2 x) 2) y)>
#<alt (/ (- (* 2 x) 2) y)>
#<alt -2>
#<alt (- (* 2 x) 2)>
#<alt (- (* 2 x) 2)>
#<alt (- (* 2 x) 2)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt 1>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt (/ y x)>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (/ y x)>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (/ y x)>
#<alt (/ (+ x y) x)>
#<alt (/ (+ x y) x)>
#<alt (/ (+ x y) x)>
#<alt 1>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt 1>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
Calls

63 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ (+ (* 2 x) -2) y)
1.0ms
x
@inf
(/ (+ (* 2 x) -2) y)
1.0ms
x
@0
(- 1 (/ (+ (* 2 x) -2) y))
0.0ms
x
@-inf
(- 2 (* x (+ 1 (/ y x))))
0.0ms
x
@-inf
(- 1 (/ (+ (* 2 x) -2) y))

rewrite469.0ms (6.1%)

Algorithm
batch-egg-rewrite
Rules
4490×*-lowering-*.f32
4490×*-lowering-*.f64
4014×/-lowering-/.f32
4014×/-lowering-/.f64
1968×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02180
116780
2148071
0835971
Stop Event
iter limit
node limit
Counts
14 → 390
Calls
Call 1
Inputs
(/ (- x y) (- 2 (* x (+ 1 (/ y x)))))
(- 2 (* x (+ 1 (/ y x))))
(* x (+ 1 (/ y x)))
(- x y)
(/ y (+ y -2))
(+ y -2)
(/ 1 (+ (/ 2 x) -1))
(+ (/ 2 x) -1)
(/ 2 x)
(- 1 (/ (+ (* 2 x) -2) y))
(/ (+ (* 2 x) -2) y)
(+ (* 2 x) -2)
(* 2 x)
(+ 1 (/ y x))
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64))))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64)))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64))))) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64)))))) y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64))))) y)))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64))))) (neg.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x (*.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64)))))) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x (*.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 x (*.f64 y #s(literal 1 binary64))) (+.f64 x (*.f64 y #s(literal 1 binary64)))))))))) (fma.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x (*.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64))))))) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x (*.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 x (*.f64 y #s(literal 1 binary64))) (+.f64 x (*.f64 y #s(literal 1 binary64))))))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x (*.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64)))))) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x (*.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 x (*.f64 y #s(literal 1 binary64))) (+.f64 x (*.f64 y #s(literal 1 binary64))))))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64))))) (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64)))) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x (*.f64 y #s(literal 1 binary64))) (+.f64 x (*.f64 y #s(literal 1 binary64))))))))) (fma.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64))))) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x (*.f64 y #s(literal 1 binary64))) (+.f64 x (*.f64 y #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x (*.f64 y #s(literal 1 binary64)))) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x (*.f64 y #s(literal 1 binary64))) (+.f64 x (*.f64 y #s(literal 1 binary64)))))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -4 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) #s(literal -8 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x #s(literal -4 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -4 binary64)) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) #s(literal -8 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x #s(literal -4 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -4 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) #s(literal -8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64))))))
(*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (/.f64 (/.f64 y x) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 x y))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x y))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 y x) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x y)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 (/.f64 y x) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 x y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal 1 binary64)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (/.f64 y x) (/.f64 x y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 x y))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 x y)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))))

simplify328.0ms (4.3%)

Algorithm
egg-herbie
Rules
4258×*-lowering-*.f32
4258×*-lowering-*.f64
3718×+-lowering-+.f64
3718×+-lowering-+.f32
1106×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03081912
110141793
231901694
086501694
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -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)))))
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
-2
(- y 2)
(- y 2)
(- y 2)
y
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
y
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
(/ 2 x)
(/ (+ 2 (* -1 x)) x)
(/ (+ 2 (* -1 x)) x)
(/ (+ 2 (* -1 x)) x)
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) 1)
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) 1)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(* -2 (/ x y))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(* -2 (/ x y))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(/ (- 2 (* 2 x)) y)
(/ (- (+ 2 y) (* 2 x)) y)
(/ (- (+ 2 y) (* 2 x)) y)
(/ (- (+ 2 y) (* 2 x)) y)
1
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(/ -2 y)
(- (* 2 (/ x y)) (* 2 (/ 1 y)))
(- (* 2 (/ x y)) (* 2 (/ 1 y)))
(- (* 2 (/ x y)) (* 2 (/ 1 y)))
(* 2 (/ x y))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))
(* 2 (/ x y))
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
-2
(- (* 2 x) 2)
(- (* 2 x) 2)
(- (* 2 x) 2)
(* 2 x)
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* 2 x)
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(/ y x)
(/ (+ x y) x)
(/ (+ x y) x)
(/ (+ x y) x)
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
Outputs
(* -1 (/ y (- 2 y)))
(*.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y)))) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 x (-.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))))) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(-.f64 (*.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))))) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
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(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)))))
(/ (- 2 (* 2 x)) y)
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) y)
(/ (- (+ 2 y) (* 2 x)) y)
(/.f64 (+.f64 y (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) y)
(/ (- (+ 2 y) (* 2 x)) y)
(/.f64 (+.f64 y (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) y)
(/ (- (+ 2 y) (* 2 x)) y)
(/.f64 (+.f64 y (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) y)
1
#s(literal 1 binary64)
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) y))
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) y))
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) y))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) y))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) y))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* 2 (/ x y)) (* 2 (/ 1 y)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(- (* 2 (/ x y)) (* 2 (/ 1 y)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(- (* 2 (/ x y)) (* 2 (/ 1 y)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 #s(literal 2 binary64) x) y)
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 y x))))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 y x))))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 y x))))
(* 2 (/ x y))
(/.f64 (*.f64 #s(literal 2 binary64) x) y)
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 y x))))
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 y x))))
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 y x))))
(/ (- (* 2 x) 2) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y)
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))
(- (* 2 x) 2)
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))
(- (* 2 x) 2)
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))
(* x (- 2 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))
(* x (- 2 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 y x) x)
(/ (+ x y) x)
(/.f64 (+.f64 y x) x)
(/ (+ x y) x)
(/.f64 (+.f64 y x) x)
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))

eval121.0ms (1.6%)

Compiler

Compiled 12145 to 1492 computations (87.7% saved)

prune103.0ms (1.3%)

Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New6402642
Fresh044
Picked145
Done156
Total64215657
Accuracy
100.0%
Counts
657 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
86.7%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
66.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
26.0%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
48.4%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
15.4%
(/.f64 y #s(literal -2 binary64))
53.7%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
53.6%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
14.0%
(/.f64 x #s(literal 2 binary64))
53.5%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
42.5%
(-.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal 1 binary64))
36.5%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) y))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
35.9%
#s(literal 1 binary64)
41.9%
#s(literal -1 binary64)
Compiler

Compiled 169 to 126 computations (25.4% saved)

simplify122.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) x) y)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) y))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) #s(literal 2 binary64))
cost-diff0
(/.f64 y #s(literal -2 binary64))
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 2 binary64) x)
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
Rules
1298×fnmadd-define
948×fmsub-define
936×fnmsub-define
918×fma-define
776×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01456
13056
25555
311755
422155
539055
6109955
7236755
8423355
9460455
10468155
11474555
12476155
0476155
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (- x y) (- 2 x))
(- x y)
x
y
(- 2 x)
2
(/ x 2)
x
2
(/ y -2)
y
-2
(/ (- x y) 2)
(- x y)
x
y
2
(- 1 (/ (* 2 x) y))
1
(/ (* 2 x) y)
(* 2 x)
2
x
y
Outputs
(/ (- x y) (- 2 x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(- x y)
(-.f64 x y)
x
y
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(/ y -2)
(/.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(/ (- x y) 2)
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(- x y)
(-.f64 x y)
x
y
2
#s(literal 2 binary64)
(- 1 (/ (* 2 x) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y))
1
#s(literal 1 binary64)
(/ (* 2 x) y)
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
x
y

localize77.0ms (1%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (*.f64 #s(literal 2 binary64) x) y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) y))
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy100.0%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(/.f64 y #s(literal -2 binary64))
accuracy100.0%
(/.f64 x #s(literal 2 binary64))
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(-.f64 #s(literal 2 binary64) x)
accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
Results
40.0ms256×0valid
Compiler

Compiled 59 to 15 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 10.0ms (60.1% of total)
ival-sub: 4.0ms (24% of total)
ival-mult: 2.0ms (12% of total)
const: 1.0ms (6% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
9 → 168
Calls
Call 1
Inputs
#<alt (/ (- x y) (- 2 x))>
#<alt (- x y)>
#<alt (- 2 x)>
#<alt (/ x 2)>
#<alt (/ y -2)>
#<alt (/ (- x y) 2)>
#<alt (- 1 (/ (* 2 x) y))>
#<alt (/ (* 2 x) y)>
#<alt (* 2 x)>
Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x (- 1/2 (* 1/4 y))))>
#<alt (+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y))))>
#<alt (+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))>
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))>
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))>
#<alt (* -1 (/ y (- 2 x)))>
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))>
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))>
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))>
#<alt (* -1 (/ y (- 2 x)))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))>
#<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 2>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ x y)))>
#<alt (+ 1 (* -2 (/ x y)))>
#<alt (+ 1 (* -2 (/ x y)))>
#<alt (* -2 (/ x y))>
#<alt (* x (- (/ 1 x) (* 2 (/ 1 y))))>
#<alt (* x (- (/ 1 x) (* 2 (/ 1 y))))>
#<alt (* x (- (/ 1 x) (* 2 (/ 1 y))))>
#<alt (* -2 (/ x y))>
#<alt (* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))>
#<alt (* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))>
#<alt (* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))>
#<alt (* -2 (/ x y))>
#<alt (/ (- y (* 2 x)) y)>
#<alt (/ (- y (* 2 x)) y)>
#<alt (/ (- y (* 2 x)) y)>
#<alt 1>
#<alt (+ 1 (* -2 (/ x y)))>
#<alt (+ 1 (* -2 (/ x y)))>
#<alt (+ 1 (* -2 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ x y)))>
#<alt (+ 1 (* -2 (/ x y)))>
#<alt (+ 1 (* -2 (/ x y)))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

42 calls:

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

rewrite301.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
4356×*-lowering-*.f32
4356×*-lowering-*.f64
3578×/-lowering-/.f32
3578×/-lowering-/.f64
1608×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01439
19739
272938
0899738
Stop Event
iter limit
node limit
Counts
9 → 513
Calls
Call 1
Inputs
(/ (- x y) (- 2 x))
(- x y)
(- 2 x)
(/ x 2)
(/ y -2)
(/ (- x y) 2)
(- 1 (/ (* 2 x) y))
(/ (* 2 x) y)
(* 2 x)
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(+.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) y))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) y)))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))) (fma.f64 (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 x x)))))) (fma.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 x x))))))
(+.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) y))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) y)))
(+.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))) (fma.f64 (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 x x)))))) (fma.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 x x))))))
(+.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) y))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) y)))
(+.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))) (fma.f64 (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 x x)))))) (fma.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) x))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) x) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) x))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x)))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 x y) (+.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) y) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) (+.f64 (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)))))) (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) (+.f64 (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)))))))
(-.f64 (/.f64 (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y))) (/.f64 (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 x #s(literal 2 binary64)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(neg.f64 (/.f64 (-.f64 x y) (+.f64 x #s(literal -2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 x y))))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (+.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 x #s(literal -2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (-.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x))))) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 y x) (+.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 y x)))
(/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 x #s(literal -2 binary64)) y)) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))) (+.f64 (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y)))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 2 binary64) x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 2 binary64) x)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(/.f64 (-.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x) y)) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)))
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(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 y x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) y))
(*.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x)
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))

simplify351.0ms (4.6%)

Algorithm
egg-herbie
Rules
2272×*-lowering-*.f32
2272×*-lowering-*.f64
1686×sum4-define
1686×fnmadd-define
1622×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0130886
1403844
21178827
33926824
08034824
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* -1/2 y)
(+ (* -1/2 y) (* x (- 1/2 (* 1/4 y))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y))))
-1
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)
(- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(* -1 (/ y (- 2 x)))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(* -1 (/ y (- 2 x)))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(* -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)))))
2
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* -2 (/ x y)))
(+ 1 (* -2 (/ x y)))
(* -2 (/ x y))
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(* -2 (/ x y))
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(* -2 (/ x y))
(/ (- y (* 2 x)) y)
(/ (- y (* 2 x)) y)
(/ (- y (* 2 x)) y)
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* -2 (/ x y)))
(+ 1 (* -2 (/ x y)))
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* -2 (/ x y)))
(+ 1 (* -2 (/ x y)))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* x (- 1/2 (* 1/4 y))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/4 binary64))))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) x))
(- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) (*.f64 x x)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) x)))
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 y #s(literal 2 binary64))) x) (-.f64 #s(literal 2 binary64) y)) x))
(- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) x) #s(literal -4 binary64))) x))) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(* -1 (/ y (- 2 x)))
(/.f64 y (+.f64 x #s(literal -2 binary64)))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(+.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(+.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(+.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(* -1 (/ y (- 2 x)))
(/.f64 y (+.f64 x #s(literal -2 binary64)))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(+.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(+.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(+.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) 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)
2
#s(literal 2 binary64)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 #s(literal 2 binary64) x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 #s(literal 2 binary64) x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 #s(literal 2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 1/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* y (- (* 1/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* y (- (* 1/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/ (- y (* 2 x)) y)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(/ (- y (* 2 x)) y)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(/ (- y (* 2 x)) y)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 (/ x y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval130.0ms (1.7%)

Compiler

Compiled 13379 to 1474 computations (89% saved)

prune88.0ms (1.1%)

Pruning

15 alts after pruning (1 fresh and 14 done)

PrunedKeptTotal
New7590759
Fresh011
Picked055
Done099
Total75915774
Accuracy
100.0%
Counts
774 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
86.7%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
66.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
26.0%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
48.4%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
15.4%
(/.f64 y #s(literal -2 binary64))
53.7%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
53.6%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
14.0%
(/.f64 x #s(literal 2 binary64))
53.5%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
42.5%
(-.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal 1 binary64))
36.5%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) y))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
35.9%
#s(literal 1 binary64)
41.9%
#s(literal -1 binary64)
Compiler

Compiled 252 to 137 computations (45.6% saved)

regimes20.0ms (0.3%)

Counts
19 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 y #s(literal -2 binary64))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) y))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) y))
(+.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) y))
(-.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Calls

3 calls:

7.0ms
y
6.0ms
x
5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes13.0ms (0.2%)

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

2 calls:

6.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
91.5%3x
89.6%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
13 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 y #s(literal -2 binary64))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) y))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) y))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
91.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

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

2 calls:

6.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
89.6%3y
80.2%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

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

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
80.2%3x
77.6%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
80.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 y #s(literal -2 binary64))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
Outputs
#s(literal 1 binary64)
(/.f64 x (-.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
77.0%3y
68.1%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 y #s(literal -2 binary64))
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
68.1%3x
65.8%3y
Compiler

Compiled 6 to 4 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
41.9%1y
41.9%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
9.543378517116033e+43
1.4980173453795825e+52
12.0ms
-13020171599406615000.0
-11295219935010170.0
Results
15.0ms272×0valid
Compiler

Compiled 390 to 300 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 3.0ms (45.6% of total)
ival-div: 2.0ms (30.4% of total)
ival-add: 2.0ms (30.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
9.543378517116033e+43
1.4980173453795825e+52
12.0ms
-13020171599406615000.0
-11295219935010170.0
Results
15.0ms272×0valid
Compiler

Compiled 356 to 249 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 5.0ms (58.4% of total)
ival-div: 2.0ms (23.4% of total)
ival-add: 1.0ms (11.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
28.80097961362418
2.0359193623223994e+24
10.0ms
-5858385914038858.0
-122279311078.44038
Results
15.0ms304×0valid
Compiler

Compiled 396 to 296 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 3.0ms (42.1% of total)
ival-div: 2.0ms (28.1% of total)
ival-add: 2.0ms (28.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
9.543378517116033e+43
1.4980173453795825e+52
10.0ms
-13020171599406615000.0
-11295219935010170.0
Results
13.0ms272×0valid
Compiler

Compiled 322 to 232 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (46.8% of total)
ival-div: 2.0ms (31.2% of total)
ival-add: 1.0ms (15.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
9.543378517116033e+43
1.4980173453795825e+52
10.0ms
-13020171599406615000.0
-11295219935010170.0
Results
13.0ms272×0valid
Compiler

Compiled 220 to 181 computations (17.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (47% of total)
ival-div: 2.0ms (31.3% of total)
ival-add: 1.0ms (15.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
28.80097961362418
2.0359193623223994e+24
11.0ms
-5858385914038858.0
-122279311078.44038
Results
15.0ms304×0valid
Compiler

Compiled 244 to 201 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 3.0ms (41.3% of total)
ival-div: 2.0ms (27.5% of total)
ival-add: 2.0ms (27.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
9.543378517116033e+43
1.4980173453795825e+52
14.0ms
-13020171599406615000.0
-11295219935010170.0
Results
17.0ms272×0valid
Compiler

Compiled 152 to 147 computations (3.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 7.0ms (68.5% of total)
ival-div: 2.0ms (19.6% of total)
ival-add: 1.0ms (9.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify15.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067149
1103149
2121149
3138149
4146149
5149149
6150149
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 x #s(literal -1350000000000000000 binary64)) (+.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64)) (if (<=.f64 x #s(literal 155000000000000002739623751256476505178827128832 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -250000000000000000 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 y #s(literal -16000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (if (<=.f64 y #s(literal 10500000000 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) y))))
(if (<=.f64 x #s(literal -11500000000000000 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 x #s(literal 320000000000000004459907742701251172182786048 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 x #s(literal -290000000000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 1150000000000000061831574903891691571299483648 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal -1900000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 320000000000000000000 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -750000000000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 2499999999999999982849547589867553236914798592 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 x #s(literal -1350000000000000000 binary64)) (+.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64)) (if (<=.f64 x #s(literal 155000000000000002739623751256476505178827128832 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -250000000000000000 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 y #s(literal -16000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (if (<=.f64 y #s(literal 10500000000 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) y))))
(if (<=.f64 y #s(literal -16000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 y #s(literal 10500000000 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) y))))
(if (<=.f64 x #s(literal -11500000000000000 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 x #s(literal 320000000000000004459907742701251172182786048 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 x #s(literal -290000000000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 1150000000000000061831574903891691571299483648 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal -1900000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 320000000000000000000 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -750000000000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 2499999999999999982849547589867553236914798592 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)

soundness1.5s (19%)

Rules
4698×*-lowering-*.f32
4698×*-lowering-*.f64
4258×*-lowering-*.f32
4258×*-lowering-*.f64
4208×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04792341
116352146
254372108
081142108
0186951
1626873
22140795
08586795
0720
15620
254020
0830420
03081912
110141793
231901694
086501694
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 305 to 167 computations (45.2% saved)

preprocess104.0ms (1.4%)

Compiler

Compiled 398 to 164 computations (58.8% saved)

end0.0ms (0%)

Profiling

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