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

Time bar (total: 11.6s)

analyze21.0ms (0.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
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: 7.0ms
ival-sub: 3.0ms (42.3% of total)
ival-add: 2.0ms (28.2% of total)
ival-div: 1.0ms (14.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample738.0ms (6.4%)

Results
514.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 234.0ms
ival-sub: 105.0ms (45% of total)
ival-div: 59.0ms (25.3% of total)
ival-add: 55.0ms (23.6% of total)
const: 12.0ms (5.1% of total)
backward-pass: 3.0ms (1.3% of total)
Bogosity

preprocess92.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
464×accelerator-lowering-fma.f32
464×accelerator-lowering-fma.f64
314×unsub-neg
272×div-sub
270×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02360
17856
218355
351754
4114354
5170654
6197854
7208654
8214454
9215754
079
1179
2349
3759
41829
53429
66129
79009
89449
99609
109619
09619
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (- x y) (- 2 (+ x y)))
Outputs
(/ (- x y) (- 2 (+ x y)))
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
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)))
(/ (- x y) (- (- 2 x) y))
(/ (- (neg x) y) (- 2 (+ (neg x) y)))
(/ (+ x y) (+ y (- -2 x)))
(/ (- x (neg y)) (- 2 (+ x (neg y))))
(/ (+ x y) (+ y (- 2 x)))
(neg (/ (- (neg x) y) (- 2 (+ (neg x) y))))
(/ (+ x y) (+ x (- 2 y)))
(neg (/ (- x (neg y)) (- 2 (+ x (neg y)))))
(/ (+ x y) (- (+ x -2) y))
(/ (- y x) (- 2 (+ y x)))
(/ (- x y) (+ y (+ x -2)))

explain71.0ms (0.6%)

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
44.0ms512×0valid
Compiler

Compiled 63 to 29 computations (54% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sub: 8.0ms (35.7% of total)
ival-div: 6.0ms (26.7% of total)
ival-add: 6.0ms (26.7% of total)
const: 1.0ms (4.5% 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 (-.f64 #s(literal 2 binary64) y) x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

localize89.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 2 binary64) y)
✓cost-diff0
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
✓accuracy100.0%
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) y)
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
Rules
464×accelerator-lowering-fma.f32
464×accelerator-lowering-fma.f64
224×*-lowering-*.f32
224×*-lowering-*.f64
152×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
11723
23723
38323
417723
534923
664823
794123
897023
998623
1098723
098723
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (- x y) (- (- 2 y) x))
(- x y)
x
y
(- (- 2 y) x)
(- 2 y)
2
Outputs
(/ (- x y) (- (- 2 y) x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(- x y)
(-.f64 x y)
x
y
(- (- 2 y) x)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
Results
25.0ms256×0valid
Compiler

Compiled 26 to 14 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 12.0ms (81.3% of total)
ival-div: 2.0ms (13.5% of total)
const: 1.0ms (6.8% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
4 → 84
Calls
Call 1
Inputs
#<alt (/ (- x y) (- (- 2 y) x))>
#<alt (- 2 y)>
#<alt (- x y)>
#<alt (- (- 2 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>
#<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)))))>
#<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 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 (- 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)))))>
Calls

21 calls:

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

rewrite564.0ms (4.9%)

Algorithm
1×batch-egg-rewrite
Rules
5272×*-lowering-*.f32
5272×*-lowering-*.f64
4510×/-lowering-/.f32
4510×/-lowering-/.f64
3846×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
16020
254720
0861520
Stop Event
1×iter limit
1×node limit
Counts
4 → 411
Calls
Call 1
Inputs
(/ (- x y) (- (- 2 y) x))
(- 2 y)
(- x y)
(- (- 2 y) x)
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.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 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal -2 binary64) (+.f64 x y)))))
(+.f64 (/.f64 y (+.f64 #s(literal -2 binary64) (+.f64 x y))) (/.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))) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (*.f64 x (-.f64 #s(literal 2 binary64) y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (-.f64 y x)))) x) (*.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (-.f64 y x)))) (-.f64 #s(literal 2 binary64) y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (-.f64 y x)))) (-.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (-.f64 y x)))) x))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (-.f64 y x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (-.f64 y x)))) (-.f64 x y)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 #s(literal -2 binary64) (+.f64 x y))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x))) (/.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x))) (/.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x x)) (/.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 x (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (-.f64 y x))))) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (-.f64 y x))))))
(+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (-.f64 y x))))) (*.f64 x (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (-.f64 y x))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (-.f64 y x))))) (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (-.f64 y x))))))
(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 #s(literal -2 binary64) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 #s(literal -2 binary64) (+.f64 x y))))
(-.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))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) (-.f64 y x))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) (-.f64 y x)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) (-.f64 y x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) (-.f64 y x))))) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) (-.f64 y x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) (-.f64 y x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.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 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x)))))) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.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 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.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 #s(literal 2 binary64) y)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x)))))) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.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 #s(literal 2 binary64) y)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (-.f64 y x)))) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (-.f64 y x)))) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x))))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 2 binary64) y))))))
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x)))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x)))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (-.f64 y x))))
(*.f64 (-.f64 #s(literal 2 binary64) (-.f64 y x)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (-.f64 y x)))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (+.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x)))))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (-.f64 y x)) (+.f64 #s(literal -2 binary64) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (-.f64 y x))))
(*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y))))

simplify999.0ms (8.6%)

Algorithm
1×egg-herbie
Rules
12146×accelerator-lowering-fma.f32
12146×accelerator-lowering-fma.f64
4522×*-lowering-*.f32
4522×*-lowering-*.f64
2692×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0182933
1556872
21784805
37660799
08638766
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
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
(+ 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)))))
(* -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 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)))))
(- 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)))))
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 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))))
(+ (* -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 #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 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 x (-.f64 #s(literal 2 binary64) y))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))))))
(+ (* -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 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) (/.f64 y (*.f64 (-.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 #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
#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 (/.f64 x (-.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 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 y (+.f64 (/.f64 (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -2 binary64))) (+.f64 x #s(literal -2 binary64)))))))))
(+ (* 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 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -2 binary64))) (+.f64 x #s(literal -2 binary64)))) (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -2 binary64))) (*.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 (/.f64 x (-.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) y) (+.f64 x #s(literal -1 binary64))))
(- (+ 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) y) (+.f64 x #s(literal -1 binary64))))))
(- (+ 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 (-.f64 #s(literal 2 binary64) x) y) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) (*.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))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 x #s(literal -1 binary64))))
(+ 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) x) #s(literal -2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))) y)) 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))
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 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) 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 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) 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)))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)

eval199.0ms (1.7%)

Compiler

Compiled 14226 to 6630 computations (53.4% saved)

prune80.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New48510495
Fresh000
Picked011
Done000
Total48511496
Accuracy
100.0%
Counts
496 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
▶62.3%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
62.8%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
87.0%
(/.f64 (-.f64 x y) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))))
87.0%
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
51.7%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶49.4%
(/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x))
▶49.1%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
37.1%
#s(literal 1 binary64)
▶37.0%
#s(literal -1 binary64)
Compiler

Compiled 191 to 133 computations (30.4% saved)

localize294.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 24 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 #s(literal 2 binary64) y)
✓cost-diff0
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
✓cost-diff0
(/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x))
✓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 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
✓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 (-.f64 #s(literal 2 binary64) y) x)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) y)
✓accuracy100.0%
(/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x))
✓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)
✓accuracy99.9%
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
Rules
1312×accelerator-lowering-fma.f32
1312×accelerator-lowering-fma.f64
680×div-sub
624×*-lowering-*.f32
624×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01666
13866
27764
316464
440964
599064
6197664
7240364
8299364
9303564
10307464
11307464
0307464
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (/ (- 2 (+ x y)) (- x y)))
1
(/ (- 2 (+ x y)) (- x y))
(- 2 (+ x y))
2
(+ x y)
x
y
(- x y)
-1
(/ x (- 2 x))
(- 2 x)
(/ x (- (- 2 y) x))
(- (- 2 y) x)
(- 2 y)
(/ (- x y) (- 2 y))
Outputs
(/ 1 (/ (- 2 (+ x y)) (- x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
1
#s(literal 1 binary64)
(/ (- 2 (+ x y)) (- x y))
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
(- 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))
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(/ x (- (- 2 y) x))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(- (- 2 y) x)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(/ (- x y) (- 2 y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
Results
60.0ms256×0valid
Compiler

Compiled 83 to 40 computations (51.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sub: 18.0ms (55.6% of total)
ival-div: 10.0ms (30.9% of total)
ival-add: 2.0ms (6.2% of total)
const: 2.0ms (6.2% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.2%)

Counts
11 → 228
Calls
Call 1
Inputs
#<alt (/ 1 (/ (- 2 (+ x y)) (- x y)))>
#<alt (/ (- 2 (+ x y)) (- x y))>
#<alt (+ x y)>
#<alt (- 2 (+ x y))>
#<alt (/ x (- 2 x))>
#<alt (- 2 x)>
#<alt (/ x (- (- 2 y) x))>
#<alt (- 2 y)>
#<alt (- (- 2 y) x)>
#<alt (/ (- x y) (- 2 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 (/ (- 2 y) y))>
#<alt (+ (* -1 (/ (- 2 y) y)) (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))))>
#<alt (+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) y)) (* 2 (/ 1 (pow y 2))))))>
#<alt (+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (* x (- (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) (pow y 2)) (* -1 (/ (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2)))) y))))) (* 2 (/ 1 (pow y 2))))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ (* y (- 2 (* 2 y))) (pow x 2))) (+ 1 (* 2 (/ y x))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ (* (pow y 2) (- 2 (* 2 y))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- 2 (* 2 y))) (pow x 2))) (* 2 (/ y x)))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))>
#<alt (- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (* y (- 2 (* 2 y))) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (+ (* y (- 2 (* 2 y))) (/ (* (pow y 2) (- 2 (* 2 y))) x)) x))) x)) 1)>
#<alt (/ (- 2 x) x)>
#<alt (- (+ (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)>
#<alt (- (+ (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)>
#<alt (- (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 4))) (/ 1 (pow x 3))))) (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (- 2 x) y))) (* -1 (/ x y)))>
#<alt (- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))) (* -1 (/ x y)))>
#<alt (- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* (pow x 2) (- (* -1 (- 2 x)) (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 x)) y)))>
#<alt (+ 1 (* -1 (/ (- (+ 2 (/ (* x (- 2 (* 2 x))) y)) (* 2 x)) y)))>
#<alt (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 2 (* 2 x))) y)) (* x (- 2 (* 2 x)))) y))) (* 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 (- 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 (* 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 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)))))>
#<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 (- 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 (* -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)))))>
Calls

57 calls:

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

rewrite714.0ms (6.1%)

Algorithm
1×batch-egg-rewrite
Rules
5326×/-lowering-/.f32
5326×/-lowering-/.f64
3512×*-lowering-*.f32
3512×*-lowering-*.f64
2990×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01561
113059
2115759
0838059
Stop Event
1×iter limit
1×node limit
Counts
11 → 923
Calls
Call 1
Inputs
(/ 1 (/ (- 2 (+ x y)) (- x y)))
(/ (- 2 (+ x y)) (- x y))
(+ x y)
(- 2 (+ x y))
(/ x (- 2 x))
(- 2 x)
(/ x (- (- 2 y) x))
(- 2 y)
(- (- 2 y) x)
(/ (- x y) (- 2 y))
(- x y)
Outputs
(+.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 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.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 #s(literal 0 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(-.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))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 #s(literal -2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.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)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.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)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 #s(literal -1 binary64) (/.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)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x y))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.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)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (+.f64 x y))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 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 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64) (+.f64 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)))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 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 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 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 #s(literal 0 binary64) y)))
(fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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 #s(literal 2 binary64) (+.f64 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 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 (/.f64 x (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (/.f64 x (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x)))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (/.f64 x (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x)))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 (/.f64 x (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (/.f64 x (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x)))))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (/.f64 x (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x (-.f64 #s(literal 2 binary64) (-.f64 y x)))))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 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 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64) (+.f64 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)) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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)))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 y y))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) y))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 x (-.f64 #s(literal 0 binary64) y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.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 y x))))))
(*.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 x y)))))

simplify615.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
7240×accelerator-lowering-fma.f32
7240×accelerator-lowering-fma.f64
4816×*-lowering-*.f32
4816×*-lowering-*.f64
2890×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05162659
116562483
251632428
082162283
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
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) y))
(+ (* -1 (/ (- 2 y) y)) (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) y)) (* 2 (/ 1 (pow y 2))))))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (* x (- (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) (pow y 2)) (* -1 (/ (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2)))) y))))) (* 2 (/ 1 (pow y 2))))))
-1
(- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))
(- (+ (* 2 (/ 1 x)) (/ (* y (- 2 (* 2 y))) (pow x 2))) (+ 1 (* 2 (/ y x))))
(- (+ (* 2 (/ 1 x)) (/ (* (pow y 2) (- 2 (* 2 y))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- 2 (* 2 y))) (pow x 2))) (* 2 (/ y x)))))
-1
(- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))
(- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (* y (- 2 (* 2 y))) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (+ (* y (- 2 (* 2 y))) (/ (* (pow y 2) (- 2 (* 2 y))) x)) x))) x)) 1)
(/ (- 2 x) x)
(- (+ (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
(- (+ (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
(- (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 4))) (/ 1 (pow x 3))))) (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
1
(- (+ 1 (* -1 (/ (- 2 x) y))) (* -1 (/ x y)))
(- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))) (* -1 (/ x y)))
(- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* (pow x 2) (- (* -1 (- 2 x)) (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))))
1
(+ 1 (* -1 (/ (- 2 (* 2 x)) y)))
(+ 1 (* -1 (/ (- (+ 2 (/ (* x (- 2 (* 2 x))) y)) (* 2 x)) y)))
(+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 2 (* 2 x))) y)) (* x (- 2 (* 2 x)))) y))) (* 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)))
(- 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)))))
(* 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))
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)))))
(- 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)))))
(- 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)))))
(* -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)))))
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 y (*.f64 (-.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 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.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 y (*.f64 (-.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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.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 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (*.f64 (-.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 y (*.f64 (-.f64 #s(literal 2 binary64) 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))))
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
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(* -1 (/ (- 2 y) y))
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#s(literal -1 binary64)
(- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))
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#s(literal -1 binary64)
(- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))
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(- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (* y (- 2 (* 2 y))) x))) x)) 1)
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(/ (- 2 x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (+ (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
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(- (+ (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
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#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (- 2 x) y))) (* -1 (/ x y)))
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#s(literal 1 binary64)
(+ 1 (* -1 (/ (- 2 (* 2 x)) y)))
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(* x (+ 1 (/ y x)))
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
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(+ x y)
(+.f64 y x)
(+ x y)
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(+ x y)
(+.f64 y x)
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(* y (+ 1 (/ x y)))
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#s(literal -1 binary64)
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#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
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#s(literal 2 binary64)
(+ 2 (* -1 x))
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(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* -1 x))
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(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(* x (- (* 2 (/ 1 x)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(/ x (- 2 y))
(/.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 x (*.f64 (-.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 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (/.f64 x (*.f64 (-.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 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.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 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)))
(- (+ (/ 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 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- 2 y) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(- (* -1 (/ (- (/ (pow (- 2 y) 2) x) (* -1 (- 2 y))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) (+.f64 y #s(literal -2 binary64))) x))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 y) 3) x)) (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 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) x) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) x)) 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 y (/.f64 (/.f64 x (-.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 x (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 y (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (-.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 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (*.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))))))))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y)
(/.f64 (-.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) y) x) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 x #s(literal -2 binary64)))) y) (*.f64 x (+.f64 x #s(literal -2 binary64)))) y) x) 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 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 x #s(literal -2 binary64)))) y) (*.f64 x (+.f64 x #s(literal -2 binary64)))) y) x)) y)
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ (+ x (/ (* x (- 2 x)) y)) y))
(/.f64 (-.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) y) x) y)
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 x #s(literal -2 binary64)))) y) (*.f64 x (+.f64 x #s(literal -2 binary64)))) y) x) 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 (-.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)))) y)) y) (*.f64 x (-.f64 #s(literal 2 binary64) x))) y)) (neg.f64 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)
(neg.f64 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)
(neg.f64 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))))
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64)))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64)))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64)))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
(- (+ 2 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
(- (+ 2 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
(* -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 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)))
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.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 y #s(literal -2 binary64))) 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 y #s(literal -2 binary64))) 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 y #s(literal -2 binary64))) x)))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(* -1 (* x (- (/ 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 y #s(literal -2 binary64))) x)))
(* -1 (* x (- (/ 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 y #s(literal -2 binary64))) x)))
(* -1 (* x (- (/ 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 y #s(literal -2 binary64))) x)))
(* 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 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 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 (*.f64 x #s(literal 1/8 binary64)) #s(literal -1/4 binary64))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 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 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 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 (-.f64 #s(literal 2 binary64) x) y) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.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)) (*.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 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal -2 binary64))) y) (+.f64 x #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 x #s(literal -2 binary64)) y) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x))) y))) y))
(* -1 y)
(neg.f64 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)
(neg.f64 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)
(neg.f64 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)))

eval493.0ms (4.2%)

Compiler

Compiled 32942 to 15728 computations (52.3% saved)

prune225.0ms (1.9%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New128771294
Fresh145
Picked235
Done011
Total1290151305
Accuracy
100.0%
Counts
1305 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
87.0%
(/.f64 (-.f64 x y) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))))
▶37.4%
(/.f64 (-.f64 x y) (neg.f64 y))
▶26.8%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
▶87.0%
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
51.7%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
38.2%
(/.f64 x (-.f64 (neg.f64 y) x))
✓49.1%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶3.4%
(/.f64 x (neg.f64 y))
13.5%
(/.f64 x #s(literal 2 binary64))
✓99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
62.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
37.6%
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
▶37.1%
#s(literal 1 binary64)
✓37.0%
#s(literal -1 binary64)
Compiler

Compiled 222 to 156 computations (29.7% saved)

localize555.0ms (4.8%)

Algorithm
1×egg-herbie
Localize:

Found 22 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(neg.f64 y)
✓cost-diff0
(-.f64 x y)
✓cost-diff64
(/.f64 (-.f64 x y) (neg.f64 y))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓cost-diff-64
(neg.f64 y)
✓cost-diff-64
(/.f64 x (neg.f64 y))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 x y))
✓cost-diff256
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
✓cost-diff256
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(/.f64 (-.f64 x y) (neg.f64 y))
✓accuracy100.0%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(/.f64 x (neg.f64 y))
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) y)
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 x y))
✓accuracy100.0%
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
✓accuracy87.5%
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
Rules
4496×accelerator-lowering-fma.f32
4496×accelerator-lowering-fma.f64
2368×*-lowering-*.f32
2368×*-lowering-*.f64
1872×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01665
14365
29259
320252
439352
5119352
6336952
7518352
8641952
9686552
10700652
11711252
12711652
0802252
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* y (+ -1 (/ x y))) (- (- 2 y) x))
(* y (+ -1 (/ x y)))
y
(+ -1 (/ x y))
-1
(/ x y)
x
(- (- 2 y) x)
(- 2 y)
2
1
(/ x (neg y))
(neg y)
(/ (- x y) 2)
(- x y)
(/ (- x y) (neg y))
Outputs
(/ (* y (+ -1 (/ x y))) (- (- 2 y) x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x)))
(* y (+ -1 (/ x y)))
(-.f64 x y)
y
(+ -1 (/ x y))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
-1
#s(literal -1 binary64)
(/ x y)
(/.f64 x y)
x
(- (- 2 y) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(/ x (neg y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(neg y)
(-.f64 #s(literal 0 binary64) y)
(/ (- x y) 2)
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(- x y)
(-.f64 x y)
(/ (- x y) (neg y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
Results
102.0ms256×0valid
Compiler

Compiled 76 to 31 computations (59.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 10.0ms (35.4% of total)
ival-sub: 7.0ms (24.8% of total)
ival-add: 4.0ms (14.1% of total)
ival-mult: 4.0ms (14.1% of total)
const: 1.0ms (3.5% of total)
ival-neg: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.2%)

Counts
10 → 216
Calls
Call 1
Inputs
#<alt (* y (+ -1 (/ x y)))>
#<alt (/ (* y (+ -1 (/ x y))) (- (- 2 y) x))>
#<alt (+ -1 (/ x y))>
#<alt (- 2 y)>
#<alt (neg y)>
#<alt (/ x (neg y))>
#<alt (- x y)>
#<alt (/ (- x y) 2)>
#<alt (/ (- x y) (neg y))>
#<alt (/ x y)>
Outputs
#<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 y)>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 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 (- 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 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) y))) y)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (+ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) y)) y))) y)))>
#<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 -1>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 x)))>
#<alt (* x (- (/ 1 y) (/ 1 x)))>
#<alt (* x (- (/ 1 y) (/ 1 x)))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 y))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 y)) y)>
#<alt (/ (+ x (* -1 y)) y)>
#<alt (/ (+ x (* -1 y)) y)>
#<alt -1>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt -1>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<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)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 y)>
#<alt (- 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 (+ (* -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 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ (* y (+ -1 (/ x y))) (- (- 2 y) x))
2.0ms
x
@0
(/ (- x y) (neg y))
1.0ms
y
@-inf
(/ (* y (+ -1 (/ x y))) (- (- 2 y) x))
1.0ms
x
@inf
(* y (+ -1 (/ x y)))
0.0ms
y
@-inf
(* y (+ -1 (/ x y)))

rewrite546.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
4080×accelerator-lowering-fma.f32
4080×accelerator-lowering-fma.f64
4072×/-lowering-/.f32
4072×/-lowering-/.f64
3132×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01555
112055
2100342
0911242
Stop Event
1×iter limit
1×node limit
Counts
10 → 624
Calls
Call 1
Inputs
(* y (+ -1 (/ x y)))
(/ (* y (+ -1 (/ x y))) (- (- 2 y) x))
(+ -1 (/ x y))
(- 2 y)
(neg y)
(/ x (neg y))
(- x y)
(/ (- x y) 2)
(/ (- x y) (neg y))
(/ x y)
Outputs
(+.f64 x (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) x)
(+.f64 #s(literal 0 binary64) (-.f64 x y))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x))))
(-.f64 x y)
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 y (/.f64 x y) (-.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))
(fma.f64 (/.f64 x y) y (-.f64 #s(literal 0 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64) x)
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal 0 binary64))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y))
(neg.f64 (-.f64 y x))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y x))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x))) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y (/.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y)))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x))) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y x))))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y (/.f64 x y))))) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y)))) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)) (/.f64 y x)) (*.f64 (+.f64 (*.f64 y y) #s(literal 0 binary64)) y)) (*.f64 (+.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 y x)))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)) y) (*.f64 (+.f64 (*.f64 y y) #s(literal 0 binary64)) (*.f64 y x))) (*.f64 (+.f64 (*.f64 y y) #s(literal 0 binary64)) y))
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(-.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y x) y)) (/.f64 (neg.f64 (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 y x) y)))
(-.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(-.f64 (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (+.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 x (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) x (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 (-.f64 x y) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 y x) y)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y)))) (neg.f64 (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 y (+.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (+.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 (*.f64 y x) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) y) (+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) (-.f64 #s(literal 0 binary64) y)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 x y) (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 y (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (*.f64 y (+.f64 y x))))
(/.f64 (+.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 y y)) (*.f64 y y))
(/.f64 (-.f64 (*.f64 y x) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 y x) y))
(/.f64 (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x))) (*.f64 y (*.f64 y y))) (*.f64 y (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x))) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 y (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 y x)))) (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 y x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 y x)))) (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1 binary64)) (+.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 0 binary64) y)) (+.f64 y x))
(/.f64 (-.f64 y (*.f64 (/.f64 y x) y)) (neg.f64 (*.f64 (/.f64 y x) y)))
(/.f64 (-.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 0 binary64) (/.f64 y x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (*.f64 y x) (*.f64 y y))) (*.f64 y y))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y x) y))) (neg.f64 (*.f64 (/.f64 y x) y)))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 0 binary64) y))) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 y x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 y x))))) (neg.f64 (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal -1 binary64) (/.f64 x y)))) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(pow.f64 (/.f64 y (-.f64 y x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64))
(*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x))))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) (-.f64 #s(literal 0 binary64) y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 x y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (+.f64 y x)))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 #s(literal 0 binary64) y))))
(*.f64 (+.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (-.f64 (*.f64 y x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))))
(*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) y))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) y))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 x y) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))
(*.f64 (pow.f64 (/.f64 y (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (-.f64 y x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 x y)
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))

simplify764.0ms (6.6%)

Algorithm
1×egg-herbie
Rules
13070×accelerator-lowering-fma.f32
13070×accelerator-lowering-fma.f64
4244×*-lowering-*.f32
4244×*-lowering-*.f64
2942×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01851316
15431255
217141180
368781174
083741133
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
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 y)
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 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 (- 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 (/ x y))) (* -1 (/ (- 2 x) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) y))) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (+ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) y)) y))) y)))
(* -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)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(/ x y)
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(/ x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/ x y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
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)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
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(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
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(* -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)
(+ (* -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 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
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)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 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 (- 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 (/.f64 x (-.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 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -2 binary64))) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 (/.f64 x (-.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)))
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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 x x)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x 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 (-.f64 #s(literal 2 binary64) x) y) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (+.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (-.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 x x)) y))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) y))) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (+ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) y)) y))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (+.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))))) y))) y))
(* -1 (/ y (- 2 y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.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 y (*.f64 (-.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 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.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 y (*.f64 (-.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 (/ 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 y (*.f64 (-.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 y (*.f64 (-.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))))
(+.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 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x)) (*.f64 x x)) (-.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
#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 y #s(literal 2 binary64)) (+.f64 (/.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) #s(literal -2 binary64))) x))
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(* x (- (/ 1 y) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(* x (- (/ 1 y) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 y)) y)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(/ (+ x (* -1 y)) y)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(/ (+ x (* -1 y)) y)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(- (/ x y) 1)
(+.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 #s(literal 2 binary64) y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 #s(literal 2 binary64) y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 #s(literal 2 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(-.f64 #s(literal 2 binary64) y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(-.f64 #s(literal 2 binary64) y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(-.f64 #s(literal 2 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x 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 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)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.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 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.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 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.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 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(* y (- (* 1/2 (/ x y)) 1/2))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(* y (- (* 1/2 (/ x y)) 1/2))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval286.0ms (2.5%)

Compiler

Compiled 17843 to 7793 computations (56.3% saved)

prune157.0ms (1.4%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New9922994
Fresh066
Picked235
Done044
Total994151009
Accuracy
100.0%
Counts
1009 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.4%
(/.f64 (-.f64 y x) y)
✓100.0%
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
▶87.0%
(/.f64 (-.f64 x y) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))))
✓26.8%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓87.0%
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
▶51.7%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶38.2%
(/.f64 x (-.f64 (neg.f64 y) x))
✓49.1%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
13.5%
(/.f64 x #s(literal 2 binary64))
✓99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
▶62.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
37.6%
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
▶16.7%
(*.f64 y #s(literal -1/2 binary64))
✓37.1%
#s(literal 1 binary64)
✓37.0%
#s(literal -1 binary64)
Compiler

Compiled 193 to 136 computations (29.5% saved)

localize534.0ms (4.6%)

Algorithm
1×egg-herbie
Localize:

Found 28 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) y)
✓cost-diff0
(/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
✓cost-diff-64
(neg.f64 y)
✓cost-diff-64
(-.f64 (neg.f64 y) x)
✓cost-diff-64
(/.f64 x (-.f64 (neg.f64 y) x))
✓cost-diff0
(+.f64 y #s(literal -2 binary64))
✓cost-diff0
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
✓cost-diff0
(-.f64 x y)
✓cost-diff256
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
✓cost-diff256
(/.f64 (-.f64 x y) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) y)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
✓accuracy100.0%
(-.f64 (neg.f64 y) x)
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(/.f64 x (-.f64 (neg.f64 y) x))
✓accuracy100.0%
(+.f64 y #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 2 binary64) x) y)
✓accuracy100.0%
(/.f64 (-.f64 x y) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))))
✓accuracy87.5%
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
Rules
4476×accelerator-lowering-fma.f32
4476×accelerator-lowering-fma.f64
2570×*-lowering-*.f32
2570×*-lowering-*.f64
1274×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02289
15389
210583
325779
462079
5197579
6475279
7650179
8778379
0802279
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- x y) (* y (+ -1 (/ (- 2 x) y))))
(- x y)
x
y
(* y (+ -1 (/ (- 2 x) y)))
(+ -1 (/ (- 2 x) y))
-1
(/ (- 2 x) y)
(- 2 x)
2
(* y -1/2)
-1/2
(/ y (+ y -2))
(+ y -2)
-2
(/ x (- (neg y) x))
(- (neg y) x)
(neg y)
(/ 1 (/ (- 2 y) (- x y)))
1
(/ (- 2 y) (- x y))
(- 2 y)
Outputs
(/ (- x y) (* y (+ -1 (/ (- 2 x) y))))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(- x y)
(-.f64 x y)
x
y
(* y (+ -1 (/ (- 2 x) y)))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(+ -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 #s(literal 2 binary64) x) y)
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ y (+ y -2))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ y -2)
(+.f64 y #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ x (- (neg y) x))
(-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 x y)))
(- (neg y) x)
(-.f64 (-.f64 #s(literal 0 binary64) y) x)
(neg y)
(-.f64 #s(literal 0 binary64) y)
(/ 1 (/ (- 2 y) (- x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
1
#s(literal 1 binary64)
(/ (- 2 y) (- x y))
(/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
Results
80.0ms255×0valid
1.0ms1×2valid
Compiler

Compiled 102 to 53 computations (48% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 17.0ms (36% of total)
ival-sub: 14.0ms (29.7% of total)
ival-add: 6.0ms (12.7% of total)
ival-mult: 5.0ms (10.6% of total)
const: 3.0ms (6.4% of total)
ival-neg: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series29.0ms (0.2%)

Counts
14 → 276
Calls
Call 1
Inputs
#<alt (* y (+ -1 (/ (- 2 x) y)))>
#<alt (/ (- x y) (* y (+ -1 (/ (- 2 x) y))))>
#<alt (/ (- 2 x) y)>
#<alt (+ -1 (/ (- 2 x) y))>
#<alt (* y -1/2)>
#<alt (/ y (+ y -2))>
#<alt (+ y -2)>
#<alt (/ x (- (neg y) x))>
#<alt (neg y)>
#<alt (- (neg y) x)>
#<alt (/ 1 (/ (- 2 y) (- x y)))>
#<alt (/ (- 2 y) (- x y))>
#<alt (- 2 y)>
#<alt (- x y)>
Outputs
#<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 (- (* 2 (/ 1 y)) 1))>
#<alt (+ (* -1 x) (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (+ (* -1 x) (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (+ (* -1 x) (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* -1 x)>
#<alt (* x (- (/ (* y (- (* 2 (/ 1 y)) 1)) x) 1))>
#<alt (* x (- (/ (* y (- (* 2 (/ 1 y)) 1)) x) 1))>
#<alt (* x (- (/ (* y (- (* 2 (/ 1 y)) 1)) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (* y (- (* 2 (/ 1 y)) 1)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (* y (- (* 2 (/ 1 y)) 1)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (* y (- (* 2 (/ 1 y)) 1)) x)))))>
#<alt (/ -1 (- (* 2 (/ 1 y)) 1))>
#<alt (- (* x (- (/ 1 (* y (- (* 2 (/ 1 y)) 1))) (/ 1 (* y (pow (- (* 2 (/ 1 y)) 1) 2))))) (/ 1 (- (* 2 (/ 1 y)) 1)))>
#<alt (- (* x (- (+ (/ 1 (* y (- (* 2 (/ 1 y)) 1))) (/ (* x (- (/ 1 (* y (- (* 2 (/ 1 y)) 1))) (/ 1 (* y (pow (- (* 2 (/ 1 y)) 1) 2))))) (* y (- (* 2 (/ 1 y)) 1)))) (/ 1 (* y (pow (- (* 2 (/ 1 y)) 1) 2))))) (/ 1 (- (* 2 (/ 1 y)) 1)))>
#<alt (- (* x (- (+ (* x (- (/ (* x (- (/ 1 (* y (- (* 2 (/ 1 y)) 1))) (/ 1 (* y (pow (- (* 2 (/ 1 y)) 1) 2))))) (* (pow y 2) (pow (- (* 2 (/ 1 y)) 1) 2))) (* -1 (/ (- (/ 1 (* y (- (* 2 (/ 1 y)) 1))) (/ 1 (* y (pow (- (* 2 (/ 1 y)) 1) 2)))) (* y (- (* 2 (/ 1 y)) 1)))))) (/ 1 (* y (- (* 2 (/ 1 y)) 1)))) (/ 1 (* y (pow (- (* 2 (/ 1 y)) 1) 2))))) (/ 1 (- (* 2 (/ 1 y)) 1)))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (/ (* y (- (* 2 (/ 1 y)) 1)) x)))>
#<alt (- (+ (/ y x) (/ (* y (* (- y (* y (- (* 2 (/ 1 y)) 1))) (- (* 2 (/ 1 y)) 1))) (pow x 2))) (+ 1 (/ (* y (- (* 2 (/ 1 y)) 1)) x)))>
#<alt (- (+ (/ y x) (/ (* (pow y 2) (* (- y (* y (- (* 2 (/ 1 y)) 1))) (pow (- (* 2 (/ 1 y)) 1) 2))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (* (- y (* y (- (* 2 (/ 1 y)) 1))) (- (* 2 (/ 1 y)) 1))) (pow x 2))) (/ (* y (- (* 2 (/ 1 y)) 1)) x))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (/ (* y (- (* 2 (/ 1 y)) 1)) x)))>
#<alt (- (* -1 (/ (+ (* -1 (- y (* y (- (* 2 (/ 1 y)) 1)))) (* -1 (/ (* y (* (- y (* y (- (* 2 (/ 1 y)) 1))) (- (* 2 (/ 1 y)) 1))) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- y (* y (- (* 2 (/ 1 y)) 1)))) (* -1 (/ (+ (* y (* (- y (* y (- (* 2 (/ 1 y)) 1))) (- (* 2 (/ 1 y)) 1))) (/ (* (pow y 2) (* (- y (* y (- (* 2 (/ 1 y)) 1))) (pow (- (* 2 (/ 1 y)) 1) 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 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) y))) y)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (+ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) y)) y))) y)))>
#<alt (/ 2 y)>
#<alt (+ (* -1 (/ x y)) (* 2 (/ 1 y)))>
#<alt (+ (* -1 (/ x y)) (* 2 (/ 1 y)))>
#<alt (+ (* -1 (/ x y)) (* 2 (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (* 2 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (* 2 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (* 2 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (* 2 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (/ 1 y) (* 2 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (/ 1 y) (* 2 (/ 1 (* 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 (/ 1 y)) 1)>
#<alt (- (+ (* -1 (/ x y)) (* 2 (/ 1 y))) 1)>
#<alt (- (+ (* -1 (/ x y)) (* 2 (/ 1 y))) 1)>
#<alt (- (+ (* -1 (/ x y)) (* 2 (/ 1 y))) 1)>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 2 (* x y)) (+ (/ 1 x) (/ 1 y))))>
#<alt (* x (- (/ 2 (* x y)) (+ (/ 1 x) (/ 1 y))))>
#<alt (* x (- (/ 2 (* x y)) (+ (/ 1 x) (/ 1 y))))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 2 (/ 1 y)) 1) x)) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 2 (/ 1 y)) 1) x)) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 2 (/ 1 y)) 1) x)) (/ 1 y))))>
#<alt (/ (- 2 x) y)>
#<alt (/ (- (+ 2 (* -1 y)) x) y)>
#<alt (/ (- (+ 2 (* -1 y)) x) y)>
#<alt (/ (- (+ 2 (* -1 y)) x) y)>
#<alt -1>
#<alt (- (* 2 (/ 1 y)) (+ 1 (/ x y)))>
#<alt (- (* 2 (/ 1 y)) (+ 1 (/ x y)))>
#<alt (- (* 2 (/ 1 y)) (+ 1 (/ x y)))>
#<alt -1>
#<alt (- (* 2 (/ 1 y)) (+ 1 (/ x y)))>
#<alt (- (* 2 (/ 1 y)) (+ 1 (/ x y)))>
#<alt (- (* 2 (/ 1 y)) (+ 1 (/ x 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)>
#<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 (/ x y))>
#<alt (* x (- (/ x (pow y 2)) (/ 1 y)))>
#<alt (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* x (- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x))))>
#<alt (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))))>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1)>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1)>
#<alt (- (* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))) 1)>
#<alt (* -1 (/ x y))>
#<alt (/ (+ (* -1 x) (/ (pow x 2) y)) y)>
#<alt (/ (+ (* -1 x) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)>
#<alt (/ (+ (* -1 x) (+ (* -1 (/ (pow x 3) (pow y 2))) (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 3))))) y)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) y))) y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 x)>
#<alt (- (* -1 y) x)>
#<alt (- (* -1 y) x)>
#<alt (- (* -1 y) x)>
#<alt (* -1 y)>
#<alt (* y (- (* -1 (/ x y)) 1))>
#<alt (* y (- (* -1 (/ x y)) 1))>
#<alt (* y (- (* -1 (/ x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (/ x y))))>
#<alt (* -1 (* y (+ 1 (/ x y))))>
#<alt (* -1 (* y (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (- (* -1 x) y)>
#<alt (- (* -1 x) y)>
#<alt (- (* -1 x) y)>
#<alt (* -1 x)>
#<alt (* x (- (* -1 (/ y x)) 1))>
#<alt (* x (- (* -1 (/ y x)) 1))>
#<alt (* x (- (* -1 (/ y x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ y x))))>
#<alt (* -1 (* x (+ 1 (/ y x))))>
#<alt (* -1 (* x (+ 1 (/ y x))))>
#<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 (- 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 (/ 2 x)>
#<alt (+ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) (* 2 (/ 1 x)))>
#<alt (+ (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) x)) (/ 1 x))) (* 2 (/ 1 x)))>
#<alt (+ (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) x))))) (/ 1 x))) (* 2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 x)) y)))>
#<alt (- (+ 1 (* -1 (/ (* x (+ 2 (* -1 x))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (* (pow x 2) (+ 2 (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* x (+ 2 (* -1 x))) (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- 2 x) y)))>
#<alt (+ 1 (* -1 (/ (- (+ 2 (/ (* x (- 2 x)) y)) x) y)))>
#<alt (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 2 x)) y)) (* x (- 2 x))) y))) x) y)))>
#<alt (* -1 (/ (- 2 y) y))>
#<alt (+ (* -1 (/ (- 2 y) y)) (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))))>
#<alt (+ (* -1 (/ (- 2 y) y)) (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))) y)) (* 2 (/ 1 (pow y 2))))))>
#<alt (+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* 2 (/ 1 (pow y 2)))) y)))) (/ 1 y)) (* 2 (/ 1 (pow y 2))))))>
#<alt (/ (- 2 y) x)>
#<alt (/ (- (+ 2 (/ (* y (- 2 y)) x)) y) x)>
#<alt (/ (- (+ 2 (/ (* (pow y 2) (- 2 y)) (pow x 2))) (+ y (* -1 (/ (* y (- 2 y)) x)))) x)>
#<alt (/ (- (+ 2 (/ (* (pow y 3) (- 2 y)) (pow x 3))) (+ y (+ (* -1 (/ (* y (- 2 y)) x)) (* -1 (/ (* (pow y 2) (- 2 y)) (pow x 2)))))) x)>
#<alt (/ (- 2 y) x)>
#<alt (* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (* y (- 2 y)) x))) x))>
#<alt (* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (+ (* y (- 2 y)) (/ (* (pow y 2) (- 2 y)) x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- 2 y))) (* -1 (/ (* (pow y 3) (- 2 y)) x))) x)) (* y (- 2 y))) x))) x))>
#<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)))))>
#<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)))))>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ (- x y) (* y (+ -1 (/ (- 2 x) y))))
1.0ms
x
@inf
(/ (- x y) (* y (+ -1 (/ (- 2 x) y))))
0.0ms
y
@-inf
(* y (+ -1 (/ (- 2 x) y)))
0.0ms
x
@-inf
(/ (- x y) (* y (+ -1 (/ (- 2 x) y))))
0.0ms
x
@0
(* y (+ -1 (/ (- 2 x) y)))

rewrite790.0ms (6.8%)

Algorithm
1×batch-egg-rewrite
Rules
5584×/-lowering-/.f32
5584×/-lowering-/.f64
4172×*-lowering-*.f32
4172×*-lowering-*.f64
3386×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02279
115777
2133975
0851673
Stop Event
1×iter limit
1×node limit
Counts
14 → 841
Calls
Call 1
Inputs
(* y (+ -1 (/ (- 2 x) y)))
(/ (- x y) (* y (+ -1 (/ (- 2 x) y))))
(/ (- 2 x) y)
(+ -1 (/ (- 2 x) y))
(* y -1/2)
(/ y (+ y -2))
(+ y -2)
(/ x (- (neg y) x))
(neg y)
(- (neg y) x)
(/ 1 (/ (- 2 y) (- x y)))
(/ (- 2 y) (- x y))
(- 2 y)
(- x y)
Outputs
(+.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (neg.f64 y))
(-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (-.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))))
(fma.f64 y #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) (neg.f64 y))
(fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 y y) (neg.f64 y))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y))
(fma.f64 (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (/.f64 y #s(literal -1 binary64)) (neg.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) (neg.f64 y))
(fma.f64 (/.f64 y y) (-.f64 #s(literal 2 binary64) x) (neg.f64 y))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) y)))) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) y) (neg.f64 y))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(fma.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 1 binary64) y) (neg.f64 y))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) x)) y) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (neg.f64 y))
(fma.f64 (/.f64 y (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x)))) (neg.f64 y))
(fma.f64 (/.f64 y (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x)) (neg.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 y (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x)))) (neg.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (/.f64 y (+.f64 #s(literal 2 binary64) x)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (-.f64 (*.f64 y y) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 2 binary64) x)))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 y (-.f64 #s(literal 2 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 y (-.f64 #s(literal 2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 y (-.f64 #s(literal 2 binary64) x))))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 y (-.f64 #s(literal 2 binary64) x)))) y)))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (-.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 y (-.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 y (-.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 y (-.f64 #s(literal 2 binary64) x))))) y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 2 binary64) x)))))
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(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (+.f64 x #s(literal 0 binary64)) (+.f64 x #s(literal 0 binary64))) (+.f64 (*.f64 y y) (*.f64 (+.f64 x #s(literal 0 binary64)) y))))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (+.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 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 (*.f64 y y) (neg.f64 (*.f64 y x))))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x (neg.f64 y))))
(*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))
(*.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (neg.f64 (*.f64 y x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)) (/.f64 (-.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))))

simplify1.0s (8.8%)

Algorithm
1×egg-herbie
Rules
8076×accelerator-lowering-fma.f32
8076×accelerator-lowering-fma.f64
4430×*-lowering-*.f32
4430×*-lowering-*.f64
3014×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05203014
115762786
248592636
082392546
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(- 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 (- (* 2 (/ 1 y)) 1))
(+ (* -1 x) (* y (- (* 2 (/ 1 y)) 1)))
(+ (* -1 x) (* y (- (* 2 (/ 1 y)) 1)))
(+ (* -1 x) (* y (- (* 2 (/ 1 y)) 1)))
(* -1 x)
(* x (- (/ (* y (- (* 2 (/ 1 y)) 1)) x) 1))
(* x (- (/ (* y (- (* 2 (/ 1 y)) 1)) x) 1))
(* x (- (/ (* y (- (* 2 (/ 1 y)) 1)) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (* y (- (* 2 (/ 1 y)) 1)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (* y (- (* 2 (/ 1 y)) 1)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (* y (- (* 2 (/ 1 y)) 1)) x)))))
(/ -1 (- (* 2 (/ 1 y)) 1))
(- (* x (- (/ 1 (* y (- (* 2 (/ 1 y)) 1))) (/ 1 (* y (pow (- (* 2 (/ 1 y)) 1) 2))))) (/ 1 (- (* 2 (/ 1 y)) 1)))
(- (* x (- (+ (/ 1 (* y (- (* 2 (/ 1 y)) 1))) (/ (* x (- (/ 1 (* y (- (* 2 (/ 1 y)) 1))) (/ 1 (* y (pow (- (* 2 (/ 1 y)) 1) 2))))) (* y (- (* 2 (/ 1 y)) 1)))) (/ 1 (* y (pow (- (* 2 (/ 1 y)) 1) 2))))) (/ 1 (- (* 2 (/ 1 y)) 1)))
(- (* x (- (+ (* x (- (/ (* x (- (/ 1 (* y (- (* 2 (/ 1 y)) 1))) (/ 1 (* y (pow (- (* 2 (/ 1 y)) 1) 2))))) (* (pow y 2) (pow (- (* 2 (/ 1 y)) 1) 2))) (* -1 (/ (- (/ 1 (* y (- (* 2 (/ 1 y)) 1))) (/ 1 (* y (pow (- (* 2 (/ 1 y)) 1) 2)))) (* y (- (* 2 (/ 1 y)) 1)))))) (/ 1 (* y (- (* 2 (/ 1 y)) 1)))) (/ 1 (* y (pow (- (* 2 (/ 1 y)) 1) 2))))) (/ 1 (- (* 2 (/ 1 y)) 1)))
-1
(- (/ y x) (+ 1 (/ (* y (- (* 2 (/ 1 y)) 1)) x)))
(- (+ (/ y x) (/ (* y (* (- y (* y (- (* 2 (/ 1 y)) 1))) (- (* 2 (/ 1 y)) 1))) (pow x 2))) (+ 1 (/ (* y (- (* 2 (/ 1 y)) 1)) x)))
(- (+ (/ y x) (/ (* (pow y 2) (* (- y (* y (- (* 2 (/ 1 y)) 1))) (pow (- (* 2 (/ 1 y)) 1) 2))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (* (- y (* y (- (* 2 (/ 1 y)) 1))) (- (* 2 (/ 1 y)) 1))) (pow x 2))) (/ (* y (- (* 2 (/ 1 y)) 1)) x))))
-1
(- (/ y x) (+ 1 (/ (* y (- (* 2 (/ 1 y)) 1)) x)))
(- (* -1 (/ (+ (* -1 (- y (* y (- (* 2 (/ 1 y)) 1)))) (* -1 (/ (* y (* (- y (* y (- (* 2 (/ 1 y)) 1))) (- (* 2 (/ 1 y)) 1))) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- y (* y (- (* 2 (/ 1 y)) 1)))) (* -1 (/ (+ (* y (* (- y (* y (- (* 2 (/ 1 y)) 1))) (- (* 2 (/ 1 y)) 1))) (/ (* (pow y 2) (* (- y (* y (- (* 2 (/ 1 y)) 1))) (pow (- (* 2 (/ 1 y)) 1) 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 (/ x y))) (* -1 (/ (- 2 x) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) y))) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (+ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) y)) y))) y)))
(/ 2 y)
(+ (* -1 (/ x y)) (* 2 (/ 1 y)))
(+ (* -1 (/ x y)) (* 2 (/ 1 y)))
(+ (* -1 (/ x y)) (* 2 (/ 1 y)))
(* -1 (/ x y))
(* x (- (* 2 (/ 1 (* x y))) (/ 1 y)))
(* x (- (* 2 (/ 1 (* x y))) (/ 1 y)))
(* x (- (* 2 (/ 1 (* x y))) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (* 2 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (* 2 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (* 2 (/ 1 (* 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 (/ 1 y)) 1)
(- (+ (* -1 (/ x y)) (* 2 (/ 1 y))) 1)
(- (+ (* -1 (/ x y)) (* 2 (/ 1 y))) 1)
(- (+ (* -1 (/ x y)) (* 2 (/ 1 y))) 1)
(* -1 (/ x y))
(* x (- (/ 2 (* x y)) (+ (/ 1 x) (/ 1 y))))
(* x (- (/ 2 (* x y)) (+ (/ 1 x) (/ 1 y))))
(* x (- (/ 2 (* x y)) (+ (/ 1 x) (/ 1 y))))
(* -1 (/ x y))
(* -1 (* x (+ (* -1 (/ (- (* 2 (/ 1 y)) 1) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (- (* 2 (/ 1 y)) 1) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (- (* 2 (/ 1 y)) 1) x)) (/ 1 y))))
(/ (- 2 x) y)
(/ (- (+ 2 (* -1 y)) x) y)
(/ (- (+ 2 (* -1 y)) x) y)
(/ (- (+ 2 (* -1 y)) x) y)
-1
(- (* 2 (/ 1 y)) (+ 1 (/ x y)))
(- (* 2 (/ 1 y)) (+ 1 (/ x y)))
(- (* 2 (/ 1 y)) (+ 1 (/ x y)))
-1
(- (* 2 (/ 1 y)) (+ 1 (/ x y)))
(- (* 2 (/ 1 y)) (+ 1 (/ x y)))
(- (* 2 (/ 1 y)) (+ 1 (/ x 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)
(* 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 (/ x y))
(* x (- (/ x (pow y 2)) (/ 1 y)))
(* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
-1
(- (/ y x) 1)
(- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x))))
(- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))))
-1
(- (/ y x) 1)
(- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1)
-1
(- (/ y x) 1)
(- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1)
(- (* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))) 1)
(* -1 (/ x y))
(/ (+ (* -1 x) (/ (pow x 2) y)) y)
(/ (+ (* -1 x) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ (+ (* -1 x) (+ (* -1 (/ (pow x 3) (pow y 2))) (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 3))))) y)
(* -1 (/ x y))
(* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) y))) y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 x)
(- (* -1 y) x)
(- (* -1 y) x)
(- (* -1 y) x)
(* -1 y)
(* y (- (* -1 (/ x y)) 1))
(* y (- (* -1 (/ x y)) 1))
(* y (- (* -1 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (/ x y))))
(* -1 (* y (+ 1 (/ x y))))
(* -1 (* y (+ 1 (/ x y))))
(* -1 y)
(- (* -1 x) y)
(- (* -1 x) y)
(- (* -1 x) y)
(* -1 x)
(* x (- (* -1 (/ y x)) 1))
(* x (- (* -1 (/ y x)) 1))
(* x (- (* -1 (/ y x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (/ y x))))
(* -1 (* x (+ 1 (/ y x))))
(* -1 (* x (+ 1 (/ y x))))
(* 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 (- 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)))))
(/ 2 x)
(+ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) (* 2 (/ 1 x)))
(+ (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) x)) (/ 1 x))) (* 2 (/ 1 x)))
(+ (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) x))))) (/ 1 x))) (* 2 (/ 1 x)))
1
(+ 1 (* -1 (/ (+ 2 (* -1 x)) y)))
(- (+ 1 (* -1 (/ (* x (+ 2 (* -1 x))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(- (+ 1 (* -1 (/ (* (pow x 2) (+ 2 (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* x (+ 2 (* -1 x))) (pow y 2)))))
1
(+ 1 (* -1 (/ (- 2 x) y)))
(+ 1 (* -1 (/ (- (+ 2 (/ (* x (- 2 x)) y)) x) y)))
(+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 2 x)) y)) (* x (- 2 x))) y))) x) y)))
(* -1 (/ (- 2 y) y))
(+ (* -1 (/ (- 2 y) y)) (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))) y)) (* 2 (/ 1 (pow y 2))))))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* 2 (/ 1 (pow y 2)))) y)))) (/ 1 y)) (* 2 (/ 1 (pow y 2))))))
(/ (- 2 y) x)
(/ (- (+ 2 (/ (* y (- 2 y)) x)) y) x)
(/ (- (+ 2 (/ (* (pow y 2) (- 2 y)) (pow x 2))) (+ y (* -1 (/ (* y (- 2 y)) x)))) x)
(/ (- (+ 2 (/ (* (pow y 3) (- 2 y)) (pow x 3))) (+ y (+ (* -1 (/ (* y (- 2 y)) x)) (* -1 (/ (* (pow y 2) (- 2 y)) (pow x 2)))))) x)
(/ (- 2 y) x)
(* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (* y (- 2 y)) x))) x))
(* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (+ (* y (- 2 y)) (/ (* (pow y 2) (- 2 y)) x)) x))) x))
(* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- 2 y))) (* -1 (/ (* (pow y 3) (- 2 y)) x))) x)) (* y (- 2 y))) x))) x))
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)))))
(* -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)))))
Outputs
(- 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 x #s(literal 2 binary64)) y)))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) y)))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) 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 x #s(literal 2 binary64)) y)))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) y)))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) y)))
(* y (- (* 2 (/ 1 y)) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)))
(+ (* -1 x) (* y (- (* 2 (/ 1 y)) 1)))
(-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))) x)
(+ (* -1 x) (* y (- (* 2 (/ 1 y)) 1)))
(-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))) x)
(+ (* -1 x) (* y (- (* 2 (/ 1 y)) 1)))
(-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ (* y (- (* 2 (/ 1 y)) 1)) x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))) x)))
(* x (- (/ (* y (- (* 2 (/ 1 y)) 1)) x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))) x)))
(* x (- (/ (* y (- (* 2 (/ 1 y)) 1)) x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (* y (- (* 2 (/ 1 y)) 1)) x)))))
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(*.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)))

eval294.0ms (2.5%)

Compiler

Compiled 26645 to 13811 computations (48.2% saved)

prune281.0ms (2.4%)

Pruning

15 alts after pruning (4 fresh and 11 done)

PrunedKeptTotal
New120321205
Fresh123
Picked145
Done077
Total1205151220
Accuracy
100.0%
Counts
1220 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.4%
(/.f64 (-.f64 y x) y)
✓100.0%
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
✓87.0%
(/.f64 (-.f64 x y) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))))
✓26.8%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓87.0%
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
✓51.7%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓38.2%
(/.f64 x (-.f64 (neg.f64 y) x))
✓49.1%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
13.5%
(/.f64 x #s(literal 2 binary64))
✓99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
51.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
37.4%
(+.f64 #s(literal -1 binary64) (/.f64 y x))
✓16.7%
(*.f64 y #s(literal -1/2 binary64))
✓37.1%
#s(literal 1 binary64)
✓37.0%
#s(literal -1 binary64)
Compiler

Compiled 272 to 166 computations (39% saved)

regimes21.0ms (0.2%)

Counts
23 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 x (neg.f64 y))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/.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 (-.f64 y x) y)
(/.f64 x (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 x y) (neg.f64 y))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
(/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x))
(/.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) y) (-.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
(/.f64 (-.f64 x y) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Calls

3 calls:

8.0ms
x
7.0ms
y
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)

regimes39.0ms (0.3%)

Counts
18 → 5
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 x (neg.f64 y))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/.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 (-.f64 y x) y)
(/.f64 x (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 x y) (neg.f64 y))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
(/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x))
(/.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) y) (-.f64 x y)))
Outputs
(/.f64 (-.f64 y x) y)
(/.f64 x (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
Calls

2 calls:

19.0ms
y
18.0ms
x
Results
AccuracySegmentsBranch
87.6%3x
91.3%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.2%)

Counts
16 → 5
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 x (neg.f64 y))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/.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 (-.f64 y x) y)
(/.f64 x (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 x y) (neg.f64 y))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
(/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
Outputs
(/.f64 (-.f64 y x) y)
(/.f64 x (-.f64 (neg.f64 y) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 y x) y)
Calls

1 calls:

25.0ms
y
Results
AccuracySegmentsBranch
91.3%5y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.3%)

Counts
15 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 x (neg.f64 y))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/.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 (-.f64 y x) y)
(/.f64 x (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 x y) (neg.f64 y))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
(/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x))
Outputs
(/.f64 x (-.f64 (neg.f64 y) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x))
Calls

2 calls:

17.0ms
x
13.0ms
y
Results
AccuracySegmentsBranch
77.0%3x
79.0%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.2%)

Counts
14 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 x (neg.f64 y))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/.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 (-.f64 y x) y)
(/.f64 x (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 x y) (neg.f64 y))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
Outputs
(/.f64 x (-.f64 (neg.f64 y) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
76.9%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

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

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
76.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
7 → 5
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 x (neg.f64 y))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 x (-.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)
Calls

2 calls:

7.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
76.8%5y
64.5%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
6 → 6
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 x (neg.f64 y))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

1 calls:

10.0ms
y
Results
AccuracySegmentsBranch
67.5%6y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
5 → 6
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 x (neg.f64 y))
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
67.5%6y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
2 → 5
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
65.3%5y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (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:

0.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
37.0%1x
37.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch68.0ms (0.6%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
2.8817289762127298e+26
4.5375751268453375e+39
14.0ms
-9.232802838333767e-12
-9.079727755426594e-17
10.0ms
-1.099969270954574e+84
-4.620797825316526e+79
16.0ms
-9.268960422671657e+127
-2.940888659960133e+106
Results
33.0ms608×0valid
Compiler

Compiled 735 to 502 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sub: 9.0ms (51.8% of total)
ival-div: 4.0ms (23% of total)
ival-add: 3.0ms (17.3% of total)
const: 1.0ms (5.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch69.0ms (0.6%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
2.8817289762127298e+26
4.5375751268453375e+39
13.0ms
-9.232802838333767e-12
-9.079727755426594e-17
10.0ms
-1.099969270954574e+84
-4.620797825316526e+79
16.0ms
-9.268960422671657e+127
-2.940888659960133e+106
Results
33.0ms608×0valid
Compiler

Compiled 681 to 465 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sub: 7.0ms (42.4% of total)
ival-add: 5.0ms (30.3% of total)
ival-div: 4.0ms (24.3% of total)
const: 1.0ms (6.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
252.39168402042694
899.9778946635902
12.0ms
-1.83104506560161e+35
-1.434672739403627e+27
Results
14.0ms224×0valid
Compiler

Compiled 259 to 184 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (35.4% of total)
ival-div: 2.0ms (35.4% of total)
ival-add: 1.0ms (17.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
252.39168402042694
899.9778946635902
12.0ms
-1.83104506560161e+35
-1.434672739403627e+27
Results
13.0ms224×0valid
Compiler

Compiled 249 to 179 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 4.0ms (59.7% of total)
ival-div: 2.0ms (29.9% of total)
ival-add: 1.0ms (14.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
252.39168402042694
899.9778946635902
13.0ms
-1.83104506560161e+35
-1.434672739403627e+27
Results
14.0ms224×0valid
Compiler

Compiled 240 to 179 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 4.0ms (53.7% of total)
ival-div: 2.0ms (26.9% of total)
ival-add: 1.0ms (13.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch354.0ms (3%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
2.8817289762127298e+26
4.5375751268453375e+39
14.0ms
-9.232802838333767e-12
-9.079727755426594e-17
11.0ms
-1.099969270954574e+84
-4.620797825316526e+79
17.0ms
-9.268960422671657e+127
-2.940888659960133e+106
Results
34.0ms608×0valid
Compiler

Compiled 472 to 391 computations (17.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sub: 7.0ms (45.1% of total)
ival-div: 4.0ms (25.8% of total)
ival-add: 3.0ms (19.3% of total)
const: 1.0ms (6.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch119.0ms (1%)

Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.8817289762127298e+26
4.5375751268453375e+39
14.0ms
-2.5897719685224398e-129
-1.0412209690754225e-138
14.0ms
-696582.004232187
-8.331525149831127e-8
56.0ms
-1.099969270954574e+84
-4.620797825316526e+79
15.0ms
-9.268960422671657e+127
-2.940888659960133e+106
Results
87.0ms768×0valid
Compiler

Compiled 514 to 452 computations (12.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 9.0ms (46.6% of total)
ival-div: 5.0ms (25.9% of total)
ival-add: 4.0ms (20.7% of total)
const: 1.0ms (5.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch67.0ms (0.6%)

Algorithm
5×binary-search
Stop Event
1×predicate-same
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
8.0ms
2.8817289762127298e+26
4.5375751268453375e+39
14.0ms
-2.5897719685224398e-129
-1.0412209690754225e-138
19.0ms
-696582.004232187
-8.331525149831127e-8
11.0ms
-1.099969270954574e+84
-4.620797825316526e+79
10.0ms
-9.268960422671657e+127
-2.940888659960133e+106
Results
42.0ms624×0valid
Compiler

Compiled 366 to 342 computations (6.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sub: 11.0ms (55.3% of total)
ival-div: 4.0ms (20.1% of total)
ival-add: 3.0ms (15.1% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

bsearch72.0ms (0.6%)

Algorithm
4×binary-search
Stop Event
1×predicate-same
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.8817289762127298e+26
4.5375751268453375e+39
28.0ms
-9.232802838333767e-12
-9.079727755426594e-17
12.0ms
-1.099969270954574e+84
-4.620797825316526e+79
16.0ms
-9.268960422671657e+127
-2.940888659960133e+106
Results
32.0ms592×0valid
Compiler

Compiled 312 to 307 computations (1.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sub: 7.0ms (43.3% of total)
ival-div: 5.0ms (30.9% of total)
ival-add: 3.0ms (18.5% of total)
const: 1.0ms (6.2% of total)
backward-pass: 0.0ms (0% of total)

soundness3.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 287 to 174 computations (39.4% saved)

preprocess101.0ms (0.9%)

Compiler

Compiled 630 to 382 computations (39.4% saved)

end0.0ms (0%)

Profiling

Loading profile data...