Kahan p9 Example

Time bar (total: 8.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%18.7%81.3%0%0%0%0
0%0%18.7%81.3%0%0%0%1
0%0%18.7%81.3%0%0%0%2
50%9.4%9.4%81.3%0%0%0%3
50%9.4%9.4%81.3%0%0%0%4
87.5%16.4%2.3%81.3%0%0%0%5
87.5%16.4%2.3%81.3%0%0%0%6
96.9%18.1%0.6%81.3%0%0%0%7
96.9%18.1%0.6%81.3%0%0%0%8
99.2%18.6%0.1%81.3%0%0%0%9
99.2%18.6%0.1%81.3%0%0%0%10
99.8%18.7%0%81.3%0%0%0%11
99.8%18.7%0%81.3%0%0%0%12
Compiler

Compiled 27 to 17 computations (37% saved)

sample1.7s (20.7%)

Memory
-165.3MiB live, 1 040.8MiB allocated
Samples
924.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 667.0ms
ival-add: 216.0ms (32.4% of total)
ival-mult: 187.0ms (28% of total)
ival-<: 105.0ms (15.7% of total)
ival-sub: 80.0ms (12% of total)
ival-div: 50.0ms (7.5% of total)
ival-and: 16.0ms (2.4% of total)
exact: 11.0ms (1.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain156.0ms (1.9%)

Memory
-30.3MiB live, 94.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
600-0-(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
00-0-(*.f64 (-.f64 x y) (+.f64 x y))
00-0-(*.f64 x x)
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-y
00-0-(+.f64 x y)
00-0-(-.f64 x y)
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))u/u370
(*.f64 (-.f64 x y) (+.f64 x y))underflow37
(*.f64 y y)underflow92
(*.f64 x x)underflow114
(+.f64 (*.f64 x x) (*.f64 y y))underflow37
/.f64(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))o/o230
(*.f64 (-.f64 x y) (+.f64 x y))overflow23
(*.f64 y y)overflow23
(+.f64 (*.f64 x x) (*.f64 y y))overflow23
Confusion
Predicted +Predicted -
+600
-0196
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6000
-00196
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0196
160
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 148 to 40 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 10.0ms (48.7% of total)
ival-add: 4.0ms (19.5% of total)
ival-sub: 3.0ms (14.6% of total)
ival-div: 3.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess900.0ms (11%)

Memory
27.9MiB live, 139.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02583
19483
230175
387175
4237275
5499475
6567575
7611275
8641375
9648675
10700275
0915
01615
12915
25515
312515
425015
553515
6128215
7313115
8538815
9690915
10746115
11769215
12778815
13779715
14779715
15785515
16785915
17785915
18785915
0808514
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Outputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 y y (*.f64 x x)))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify729.0ms (8.9%)

Memory
-1.8MiB live, 87.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
cost-diff128
(+.f64 (*.f64 x x) (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0943
01643
12943
25543
312543
425043
553543
6128243
7313143
8538843
9690943
10746143
11769243
12778843
13779743
14779743
15785543
16785943
17785943
18785943
0808541
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 y y (*.f64 x x)))
(*.f64 (-.f64 x y) (+.f64 x y))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 y x)
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 y y)

localize335.0ms (4.1%)

Memory
-12.4MiB live, 25.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (-.f64 x y) (+.f64 x y))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy14.805215037347025
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Samples
328.0ms256×0valid
Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 321.0ms
ival-sub: 313.0ms (97.5% of total)
ival-mult: 4.0ms (1.2% of total)
ival-div: 2.0ms (0.6% of total)
ival-add: 2.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
7 → 50
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) (*.f64 y y))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(-.f64 x y)
(+.f64 x y)
(*.f64 x x)
(*.f64 y y)
(*.f64 (-.f64 x y) (+.f64 x y))
Outputs
(pow y 2)
(+ (pow x 2) (pow y 2))
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* -1 y)
(- x y)
y
(+ x y)
(pow x 2)
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ x (* -1 y))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
Calls

6 calls:

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

simplify413.0ms (5%)

Memory
-13.3MiB live, 137.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189539
1601456
22005415
08023386
Stop Event
iter limit
node limit
Counts
50 → 48
Calls
Call 1
Inputs
(pow y 2)
(+ (pow x 2) (pow y 2))
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* -1 y)
(- x y)
y
(+ x y)
(pow x 2)
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ x (* -1 y))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
Outputs
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
y
(+ x y)
(+.f64 y x)
(pow x 2)
(*.f64 x x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
#s(literal 1 binary64)
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ x (* -1 y))
(-.f64 x y)
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) (*.f64 y y))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
#s(literal -1 binary64)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
#s(literal -1 binary64)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)

rewrite152.0ms (1.9%)

Memory
10.2MiB live, 290.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0941
01641
16641
255141
0825939
Stop Event
iter limit
node limit
iter limit
Counts
7 → 836
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) (*.f64 y y))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(-.f64 x y)
(+.f64 x y)
(*.f64 x x)
(*.f64 y y)
(*.f64 (-.f64 x y) (+.f64 x y))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 x y) y) (-.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) (-.f64 x y))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) (+.f64 y x))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
(*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 x y))) (+.f64 y x))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 y x)) (neg.f64 (-.f64 x y)))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 18 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (fma.f64 y y (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (+.f64 y x))) (-.f64 x y) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
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(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 x y) x))
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y) (*.f64 (-.f64 x y) x))
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 x y) x))
(fma.f64 (*.f64 (neg.f64 y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 (+.f64 y x) x))
(fma.f64 (*.f64 x (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 x y) y))
(fma.f64 (*.f64 (+.f64 y x) #s(literal -1 binary64)) y (*.f64 (+.f64 y x) x))
(fma.f64 (*.f64 x (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 (*.f64 y (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 x y) x))
(fma.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 x y) (*.f64 (-.f64 x y) x))
(fma.f64 (*.f64 (neg.f64 y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (+.f64 y x) x))
(fma.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (+.f64 y x) (*.f64 (+.f64 y x) x))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 y x) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (-.f64 x y) (*.f64 (-.f64 x y) y))
(fma.f64 (*.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (+.f64 y x) x))
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (+.f64 y x)) (*.f64 (-.f64 x y) y))
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 y (+.f64 y x)) (*.f64 (-.f64 x y) x))
(fma.f64 (/.f64 x (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 x y) y))
(fma.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) y))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 x y) (*.f64 (-.f64 x y) y))
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 x y) y))
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 x y) x))
(fma.f64 (/.f64 y (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 x y) x))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (-.f64 x y) (*.f64 (-.f64 x y) x))
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) x))
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (+.f64 y x)) (*.f64 (-.f64 x y) x))
(fma.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (+.f64 y x)) (*.f64 (-.f64 x y) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 x y) y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (neg.f64 y)) (*.f64 (+.f64 y x) x))
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) x) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) y) (*.f64 (-.f64 x y) x))
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) x) (*.f64 (-.f64 x y) y))
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (/.f64 x (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) y))
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (/.f64 y (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) x))
(fma.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (-.f64 x y) x))
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 x y) y))
(fma.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (-.f64 x y) y))
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 x y) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) x))
(fma.f64 #s(literal -1 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) (*.f64 (-.f64 x y) y))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 y)) (*.f64 (+.f64 y x) x))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) y) (*.f64 (-.f64 x y) x))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 x (+.f64 y x)) (*.f64 (-.f64 x y) y))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 y (+.f64 y x)) (*.f64 (-.f64 x y) x))
(fma.f64 (neg.f64 y) (+.f64 y x) (*.f64 (+.f64 y x) x))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (+.f64 y x)) (*.f64 (+.f64 y x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) x) (*.f64 (-.f64 x y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) y) (*.f64 (-.f64 x y) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 x y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 x y) x))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 y)) (*.f64 (+.f64 y x) x))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) x) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 (+.f64 y x) (neg.f64 y) (*.f64 (+.f64 y x) x))
(fma.f64 (+.f64 y x) x (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x))
(fma.f64 (-.f64 x y) x (*.f64 (-.f64 x y) y))
(fma.f64 y (neg.f64 y) (*.f64 x x))
(fma.f64 y (-.f64 x y) (*.f64 (-.f64 x y) x))
(fma.f64 y x (fma.f64 (neg.f64 y) y (*.f64 (-.f64 x y) x)))
(fma.f64 x (+.f64 y x) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 x (-.f64 x y) (*.f64 (-.f64 x y) y))
(fma.f64 x y (fma.f64 (neg.f64 y) y (*.f64 (-.f64 x y) x)))
(fma.f64 x x (fma.f64 (neg.f64 x) y (*.f64 (-.f64 x y) y)))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) (*.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64)) (*.f64 (-.f64 x y) (-.f64 x y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) (*.f64 (neg.f64 y) x))
(+.f64 (fma.f64 (-.f64 x y) x (*.f64 y x)) (*.f64 (neg.f64 y) y))
(+.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 y x) y)))
(+.f64 (*.f64 (neg.f64 y) (+.f64 y x)) (*.f64 (+.f64 y x) x))
(+.f64 (*.f64 (+.f64 y x) x) (*.f64 (neg.f64 y) (+.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(+.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x))
(+.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))
(+.f64 (*.f64 y x) (fma.f64 (neg.f64 y) y (*.f64 (-.f64 x y) x)))
(+.f64 (*.f64 x x) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 x y) y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))

eval157.0ms (1.9%)

Memory
15.1MiB live, 221.1MiB allocated
Compiler

Compiled 26 295 to 2 633 computations (90% saved)

prune69.0ms (0.8%)

Memory
-33.7MiB live, 51.4MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New8565861
Fresh000
Picked101
Done000
Total8575862
Accuracy
99.4%
Counts
862 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.7%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
76.9%
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
64.5%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
37.3%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
63.2%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
Compiler

Compiled 186 to 114 computations (38.7% saved)

simplify186.0ms (2.3%)

Memory
21.3MiB live, 179.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 x y) x)
cost-diff0
(/.f64 #s(literal 2 binary64) y)
cost-diff0
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
cost-diff0
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
cost-diff0
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
cost-diff0
(fma.f64 y y (*.f64 x x))
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
cost-diff0
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030176
043171
170171
2125171
3242171
4417171
5818171
61902171
74790171
87792171
08139171
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
(+.f64 y x)
y
x
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(-.f64 x y)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
#s(literal -1 binary64)
Outputs
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(+.f64 y x)
(+.f64 x y)
y
x
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(-.f64 x y)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
(*.f64 (-.f64 x y) (+.f64 x y))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(-.f64 x y)
x
y
(+.f64 x y)
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
#s(literal -1 binary64)

localize56.0ms (0.7%)

Memory
8.0MiB live, 121.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 2 binary64) y)
accuracy0.08984375
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
accuracy0.1328125
(*.f64 (/.f64 x y) x)
accuracy22.688664010509186
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
accuracy0.0
(*.f64 (-.f64 x y) (+.f64 x y))
accuracy0.0
(*.f64 y y)
accuracy14.805215037347025
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
accuracy18.052867579580468
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy40.11238367875095
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy23.570701185164598
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy0.0
(+.f64 y x)
accuracy0.0
(*.f64 x x)
accuracy0.181972509768442
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
accuracy14.330907820405963
(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
Samples
41.0ms256×0valid
Compiler

Compiled 335 to 53 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 9.0ms (37.2% of total)
ival-add: 7.0ms (28.9% of total)
ival-div: 6.0ms (24.8% of total)
ival-sub: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-22.2MiB live, 25.2MiB allocated
Counts
17 → 75
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
(+.f64 y x)
(fma.f64 y y (*.f64 x x))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
(-.f64 x y)
(+.f64 x y)
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) y)
(*.f64 (/.f64 x y) x)
(*.f64 x x)
(*.f64 y y)
(*.f64 (-.f64 x y) (+.f64 x y))
Outputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
y
(+ x y)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* -1 y)
(- x y)
(/ (pow x 2) y)
(pow x 2)
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(/ 1 x)
(/ (+ 1 (/ y x)) x)
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)
x
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* x (+ 1 (* -1 (/ y x))))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ (/ 1 x) (/ y (pow x 2)))
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(+ x (* -1 y))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/ 2 y)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(/ (+ 1 (/ x y)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* y (- (/ x y) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@0
((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (* x x) (* y y) (* (- x y) (+ x y)))
2.0ms
y
@-inf
((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (* x x) (* y y) (* (- x y) (+ x y)))
2.0ms
x
@inf
((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (* x x) (* y y) (* (- x y) (+ x y)))
2.0ms
y
@inf
((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (* x x) (* y y) (* (- x y) (+ x y)))
2.0ms
x
@-inf
((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (* x x) (* y y) (* (- x y) (+ x y)))

simplify196.0ms (2.4%)

Memory
-0.4MiB live, 234.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0282887
1864784
22654721
08316685
Stop Event
iter limit
node limit
Counts
75 → 73
Calls
Call 1
Inputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
y
(+ x y)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* -1 y)
(- x y)
(/ (pow x 2) y)
(pow x 2)
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(/ 1 x)
(/ (+ 1 (/ y x)) x)
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)
x
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* x (+ 1 (* -1 (/ y x))))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ (/ 1 x) (/ y (pow x 2)))
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(+ x (* -1 y))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/ 2 y)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(/ (+ 1 (/ x y)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* y (- (/ x y) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ x (pow y 2)))
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
y
(+ x y)
(+.f64 x y)
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
#s(literal 1 binary64)
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ y x)) x)
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/.f64 (-.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* 2 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) y)) y)
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))) x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x)) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ (/ 1 x) (/ y (pow x 2)))
(+.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y (/.f64 #s(literal 1 binary64) x))
(+ x (* -1 y))
(-.f64 x y)
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 (neg.f64 y) y)) y) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
#s(literal -1 binary64)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(/ (+ 1 (/ x y)) y)
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
#s(literal -1 binary64)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))
(/.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y) #s(literal 1 binary64)) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)

rewrite217.0ms (2.6%)

Memory
19.0MiB live, 333.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030160
043155
1164155
21298155
08475155
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 117
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
(+.f64 y x)
(fma.f64 y y (*.f64 x x))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
(-.f64 x y)
(+.f64 x y)
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) y)
(*.f64 (/.f64 x y) x)
(*.f64 x x)
(*.f64 y y)
(*.f64 (-.f64 x y) (+.f64 x y))
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x y)) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x y)) (-.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 (-.f64 x y) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 y x)))) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x y) (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x y)) (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) (-.f64 x y))
(*.f64 (/.f64 (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (+.f64 x y) (pow.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (+.f64 x y) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (+.f64 x y) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))
(*.f64 (/.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 x y)) (fma.f64 y y (*.f64 x x))))
(*.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 x y)) (fma.f64 y y (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 (-.f64 y x) (-.f64 y x)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x y)) (-.f64 x y))) (/.f64 (-.f64 y x) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 y x) (+.f64 x y)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 y x)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x y)) (-.f64 x y))) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 x y)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 y x)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x y)) (-.f64 x y))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64)) (-.f64 y x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x y)) (-.f64 x y))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (+.f64 x y)))
(*.f64 (/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x y) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x y) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 x y) (-.f64 y x)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))
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(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 (*.f64 y y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 y (neg.f64 y)))
(fma.f64 (-.f64 x y) x (*.f64 (-.f64 x y) y))
(fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 (*.f64 y y)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 y) y))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (neg.f64 y)))
(fma.f64 (+.f64 x y) (neg.f64 y) (*.f64 (+.f64 x y) x))
(fma.f64 (+.f64 x y) x (*.f64 (+.f64 x y) (neg.f64 y)))
(fma.f64 x (-.f64 x y) (*.f64 (-.f64 x y) y))
(fma.f64 x (+.f64 x y) (*.f64 (neg.f64 y) (+.f64 x y)))
(fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))))
(fma.f64 x x (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(fma.f64 y (-.f64 x y) (*.f64 (-.f64 x y) x))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))) (/.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x y))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (+.f64 x y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) x)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (neg.f64 y))))
(+.f64 (*.f64 (+.f64 x y) (neg.f64 y)) (*.f64 (+.f64 x y) x))
(+.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) (neg.f64 y)))
(+.f64 (*.f64 x (+.f64 x y)) (*.f64 (neg.f64 y) (+.f64 x y)))
(+.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x))
(+.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))
(+.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))))
(+.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(+.f64 (*.f64 x x) (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(+.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))

eval202.0ms (2.5%)

Memory
17.3MiB live, 369.7MiB allocated
Compiler

Compiled 38 434 to 3 539 computations (90.8% saved)

prune48.0ms (0.6%)

Memory
5.1MiB live, 90.6MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1 16731 170
Fresh000
Picked055
Done000
Total1 16781 175
Accuracy
99.4%
Counts
1 175 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.7%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
76.9%
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
63.1%
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
64.5%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
56.9%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
64.5%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
37.3%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
63.2%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
Compiler

Compiled 186 to 114 computations (38.7% saved)

simplify150.0ms (1.8%)

Memory
-20.9MiB live, 175.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)
cost-diff0
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y))
cost-diff0
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
cost-diff6464
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 2 binary64))
cost-diff0
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
cost-diff0
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039285
063273
1119273
2262273
3613273
41354273
52923269
65306265
77397265
08012257
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
#s(literal -1 binary64)
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
y
#s(literal 3 binary64)
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(fma.f64 (neg.f64 x) (/.f64 x y) x)
(neg.f64 x)
(-.f64 x y)
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
#s(literal -1 binary64)
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
(*.f64 (-.f64 x y) #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64))) y)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64))) y))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64))) y)
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
y
#s(literal 3 binary64)
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(fma.f64 (neg.f64 x) (/.f64 x y) x)
(neg.f64 x)
(-.f64 x y)

localize101.0ms (1.2%)

Memory
3.7MiB live, 164.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(fma.f64 (neg.f64 x) (/.f64 x y) x)
accuracy0.181972509768442
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
accuracy0.25884633791597816
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy23.547028552762967
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y))
accuracy0.01171875
(*.f64 (*.f64 x x) #s(literal 2 binary64))
accuracy0.514321495665939
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy16.752823170464175
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
accuracy22.688664010509186
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
accuracy0.08984375
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
accuracy0.1328125
(*.f64 (/.f64 x y) x)
accuracy0.30040824138484423
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
accuracy22.688664010509186
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
Samples
78.0ms256×0valid
Compiler

Compiled 512 to 77 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 26.0ms (43.2% of total)
ival-mult: 16.0ms (26.6% of total)
ival-add: 9.0ms (15% of total)
ival-sub: 3.0ms (5% of total)
ival-neg: 2.0ms (3.3% of total)
ival-pow: 2.0ms (3.3% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
0.4MiB live, 38.5MiB allocated
Counts
16 → 92
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y))
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)
(*.f64 (/.f64 x y) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(fma.f64 (neg.f64 x) (/.f64 x y) x)
Outputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* -2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* 2 (pow x 2))
(pow x 2)
1
(+ 1 (/ x y))
(+ 1 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))
(+ 1 (* x (+ (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ (pow x 2) y)
(/ (pow x 3) (pow y 3))
x
(* x (+ 1 (* -1 (/ x y))))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/4 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))) (pow x 2))
(/ (- (+ (* 1/8 (/ (pow y 6) (pow x 4))) (* 1/2 (pow y 2))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 1/16 (/ (pow y 8) (pow x 6))) (* 1/2 (pow y 2))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* -1/8 (/ (pow y 6) (pow x 4))))) (pow x 2))
(* -1 (/ (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* (pow x 3) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(/ 1 x)
(/ (+ 1 (/ y x)) x)
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)
(* -1 (/ (pow x 3) (pow y 4)))
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(* (pow x 3) (- (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x y)) (/ 1 (pow x 2))) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4)))))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(/ 1 (pow y 2))
(/ (- (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3))
(/ (- (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3))
(/ (- (* y (+ (* -1 (pow x 2)) (* y (+ x y)))) (pow x 3)) (pow y 3))
(+ (/ 1 x) (/ y (pow x 2)))
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ (+ (* -1 (* (pow x 2) y)) (* -1 (pow x 3))) (pow y 4))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* x y)))) (pow y 4))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* y (+ x y))))) (pow y 4))
(/ (+ (* -1 (pow x 2)) (* x y)) y)
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 2) (pow y 2)))))
(- (* -8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4))))))
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))))
(/ (+ 1 (/ x y)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)))) y)
(+ x (* -1 (/ (pow x 2) y)))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) 1) y))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@0
((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ x y) x) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))
4.0ms
y
@inf
((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ x y) x) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))
4.0ms
x
@inf
((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ x y) x) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))
3.0ms
x
@-inf
((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ x y) x) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))
3.0ms
x
@0
((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ x y) x) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))

simplify155.0ms (1.9%)

Memory
2.1MiB live, 171.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04171555
112731453
240351371
084221316
Stop Event
iter limit
node limit
Counts
92 → 91
Calls
Call 1
Inputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* -2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* 2 (pow x 2))
(pow x 2)
1
(+ 1 (/ x y))
(+ 1 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))
(+ 1 (* x (+ (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ (pow x 2) y)
(/ (pow x 3) (pow y 3))
x
(* x (+ 1 (* -1 (/ x y))))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/4 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))) (pow x 2))
(/ (- (+ (* 1/8 (/ (pow y 6) (pow x 4))) (* 1/2 (pow y 2))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 1/16 (/ (pow y 8) (pow x 6))) (* 1/2 (pow y 2))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* -1/8 (/ (pow y 6) (pow x 4))))) (pow x 2))
(* -1 (/ (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* (pow x 3) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(/ 1 x)
(/ (+ 1 (/ y x)) x)
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)
(* -1 (/ (pow x 3) (pow y 4)))
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(* (pow x 3) (- (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x y)) (/ 1 (pow x 2))) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4)))))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(/ 1 (pow y 2))
(/ (- (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3))
(/ (- (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3))
(/ (- (* y (+ (* -1 (pow x 2)) (* y (+ x y)))) (pow x 3)) (pow y 3))
(+ (/ 1 x) (/ y (pow x 2)))
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ (+ (* -1 (* (pow x 2) y)) (* -1 (pow x 3))) (pow y 4))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* x y)))) (pow y 4))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* y (+ x y))))) (pow y 4))
(/ (+ (* -1 (pow x 2)) (* x y)) y)
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 2) (pow y 2)))))
(- (* -8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4))))))
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))))
(/ (+ 1 (/ x y)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)))) y)
(+ x (* -1 (/ (pow x 2) y)))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) 1) y))
Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
(- (* -2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ x (pow y 2)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) y))
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal 1 binary64) y))
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y))
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 3) (pow y 3))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
x
(* x (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(* 2 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) x) x)
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
#s(literal 1 binary64)
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(* 1/2 (/ (pow y 2) (pow x 2)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) y)
(/ (+ (* 1/4 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))) (pow x 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (*.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x))) (*.f64 x x))
(/ (- (+ (* 1/8 (/ (pow y 6) (pow x 4))) (* 1/2 (pow y 2))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 x x))
(/ (- (+ (* 1/16 (/ (pow y 8) (pow x 6))) (* 1/2 (pow y 2))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* -1/8 (/ (pow y 6) (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))))) (*.f64 x x))
(* -1 (/ (pow x 3) (pow y 3)))
(neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 y x) y))))
(* (pow x 3) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x) (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ y x)) x)
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x)
(* -1 (/ (pow x 3) (pow y 4)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (pow x 2) y))
(*.f64 (neg.f64 x) (/.f64 x y))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x) (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x y)) (/ 1 (pow x 2))) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x) (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x)) x)) (neg.f64 x))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 (neg.f64 y) y)) y) y)
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) y) y (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (- (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (+.f64 y x)) (pow.f64 y #s(literal 3 binary64)))
(/ (- (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3))
(/.f64 (fma.f64 (*.f64 x (-.f64 y x)) y (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(/ (- (* y (+ (* -1 (pow x 2)) (* y (+ x y)))) (pow x 3)) (pow y 3))
(/.f64 (fma.f64 (fma.f64 x (-.f64 y x) (*.f64 y y)) y (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(+ (/ 1 x) (/ y (pow x 2)))
(+.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal 1 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x))
(/ (+ (* -1 (* (pow x 2) y)) (* -1 (pow x 3))) (pow y 4))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (+.f64 y x)) (pow.f64 y #s(literal 4 binary64)))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* x y)))) (pow y 4))
(/.f64 (fma.f64 (*.f64 x (-.f64 y x)) y (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* y (+ x y))))) (pow y 4))
(/.f64 (fma.f64 (fma.f64 x (-.f64 y x) (*.f64 y y)) y (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/ (+ (* -1 (pow x 2)) (* x y)) y)
(/.f64 (*.f64 x (-.f64 y x)) y)
(- (+ (* -1 (/ x y)) (/ x y)) 1)
#s(literal -1 binary64)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
(- (* -8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))))
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(/ (+ 1 (/ x y)) y)
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) #s(literal 1 binary64)) y)
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)
(+ x (* -1 (/ (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
#s(literal -1 binary64)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) y))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)))
(+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y) #s(literal 1 binary64))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) y)) y)
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))
(/.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) 1) y))
(/.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y) #s(literal 1 binary64)) y)

rewrite230.0ms (2.8%)

Memory
1.2MiB live, 274.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039238
063226
1282218
22416218
08358208
Stop Event
iter limit
node limit
iter limit
Counts
16 → 608
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y))
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)
(*.f64 (/.f64 x y) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(fma.f64 (neg.f64 x) (/.f64 x y) x)
Outputs
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 x (*.f64 x (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 x (*.f64 (/.f64 x y) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3/2 binary64)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -3/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (*.f64 y (/.f64 y x)) #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 3 binary64)))
(*.f64 (/.f64 x y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (/.f64 x y)))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (*.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) y)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 y x)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 3 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (log.f64 y) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 x y)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) x))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (neg.f64 x) (/.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) x))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) x))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) x x)
(fma.f64 (neg.f64 (/.f64 x y)) x x)
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 x) (/.f64 x y) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 x y) (neg.f64 x) x)
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) x)
(fma.f64 x (neg.f64 (/.f64 x y)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x))))
(-.f64 x (*.f64 (/.f64 x y) x))
(+.f64 (*.f64 (neg.f64 x) (/.f64 x y)) x)
(+.f64 x (*.f64 (neg.f64 x) (/.f64 x y)))

eval83.0ms (1%)

Memory
-9.5MiB live, 189.1MiB allocated
Compiler

Compiled 30 609 to 3 116 computations (89.8% saved)

prune16.0ms (0.2%)

Memory
-8.9MiB live, 37.9MiB allocated
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New5534557
Fresh000
Picked123
Done145
Total55510565
Accuracy
99.4%
Counts
565 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
63.0%
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y)) (-.f64 x y))
63.0%
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)) (-.f64 x y))
63.1%
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
63.1%
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (-.f64 x y))
64.5%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
57.1%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
64.5%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
37.3%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
63.2%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
Compiler

Compiled 316 to 174 computations (44.9% saved)

simplify164.0ms (2%)

Memory
28.7MiB live, 258.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff128
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64)))
cost-diff320
(*.f64 y #s(literal 1 binary64))
cost-diff384
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))))
cost-diff704
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y)
cost-diff0
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)) (-.f64 x y))
cost-diff128
(*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
cost-diff128
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))
cost-diff704
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)
cost-diff0
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
cost-diff0
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (-.f64 x y))
cost-diff128
(+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64))
cost-diff6080
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))
cost-diff0
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052780
087768
1170768
2487762
31585750
44567750
08274718
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))
x
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 y y)
y
#s(literal -1 binary64)
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (-.f64 x y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(pow.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(fma.f64 (neg.f64 x) (/.f64 x y) x)
(neg.f64 x)
x
(/.f64 x y)
#s(literal 1 binary64)
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 x y)
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)) (-.f64 x y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y))
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))
(fma.f64 (neg.f64 x) (/.f64 x y) x)
(neg.f64 x)
x
(/.f64 x y)
y
(+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))
(pow.f64 (/.f64 x y) #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 x y)
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y)) (-.f64 x y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y))
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y)
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))))
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 x y) x)
(neg.f64 x)
x
(/.f64 x y)
y
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
(+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))
(pow.f64 (/.f64 x y) #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 y #s(literal 1 binary64))
(*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))
(-.f64 x y)
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) (*.f64 x x) #s(literal -1 binary64))
x
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 y y)
y
#s(literal -1 binary64)
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (-.f64 x y))
(*.f64 (-.f64 x y) #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y)
(pow.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal 1 binary64))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(/.f64 (fma.f64 (/.f64 x y) (neg.f64 x) x) y)
(fma.f64 (neg.f64 x) (/.f64 x y) x)
(fma.f64 (/.f64 x y) (neg.f64 x) x)
(neg.f64 x)
x
(/.f64 x y)
#s(literal 1 binary64)
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 x y)
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)) (-.f64 x y))
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) y)) (fma.f64 y y (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (-.f64 x y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) y)) (fma.f64 y y (/.f64 (pow.f64 x #s(literal 3 binary64)) y))))
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) y)) (fma.f64 y y (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) y y))
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) y))
(fma.f64 (neg.f64 x) (/.f64 x y) x)
(fma.f64 (/.f64 x y) (neg.f64 x) x)
(neg.f64 x)
x
(/.f64 x y)
y
(+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) y)
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))
(pow.f64 (/.f64 x y) #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) y y)
(-.f64 x y)
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y)) (-.f64 x y))
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) y) (fma.f64 y y (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (-.f64 x y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) y) (fma.f64 y y (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y)
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) y) (fma.f64 y y (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) y) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) y y)))
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) y)
(fma.f64 (neg.f64 x) (/.f64 x y) x)
(fma.f64 (/.f64 x y) (neg.f64 x) x)
(neg.f64 x)
x
(/.f64 x y)
y
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
(+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))
(pow.f64 (/.f64 x y) #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 y #s(literal 1 binary64))
y
(*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) y y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
(-.f64 x y)

localize164.0ms (2%)

Memory
-21.4MiB live, 255.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.25884633791597816
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy6.537037563139641
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))))
accuracy18.84960747181544
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
accuracy23.547028552762967
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y))
accuracy2.608022218077478
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
accuracy7.251409239234646
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))
accuracy8.73736926455447
(*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
accuracy23.547028552762967
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y))
accuracy0.08984375
(fma.f64 (neg.f64 x) (/.f64 x y) x)
accuracy0.181972509768442
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (-.f64 x y))
accuracy0.25884633791597816
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy23.547028552762967
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy7.502667779174488
(fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))
accuracy8.720729396013303
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y))
accuracy22.688664010509186
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
Samples
121.0ms256×0valid
Compiler

Compiled 1 359 to 102 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 49.0ms (52.8% of total)
ival-div: 17.0ms (18.3% of total)
ival-add: 11.0ms (11.9% of total)
ival-pow: 9.0ms (9.7% of total)
ival-sub: 4.0ms (4.3% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
26.8MiB live, 65.3MiB allocated
Counts
24 → 140
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 y y)
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64))
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (-.f64 x y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))
(*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)) (-.f64 x y))
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y)
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))))
(*.f64 y #s(literal 1 binary64))
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(fma.f64 (neg.f64 x) (/.f64 x y) x)
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
Outputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* 2 x)
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
1
(+ 1 (/ x y))
(+ 1 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))
y
(+ x y)
(+ y (* x (+ 1 (* -1 (/ x y)))))
(+ y (* x (+ 1 (* x (- (/ (pow x 2) (pow y 3)) (/ 1 y))))))
(+ y (/ (pow x 3) (pow y 2)))
(+ 1 (* x (+ (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(* 2 (/ x (pow y 2)))
(/ (pow x 3) (pow y 3))
x
(* x (+ 1 (* -1 (/ x y))))
(+ y (* -1 (/ (pow x 6) (pow y 5))))
(+ 1 (/ (pow x 3) (pow y 3)))
(+ 1 (* (pow x 3) (+ (/ 1 (pow y 3)) (/ (pow x 3) (pow y 6)))))
(+ 1 (* (pow x 3) (+ (* (pow x 3) (+ (/ 1 (pow y 6)) (/ (pow x 3) (pow y 9)))) (/ 1 (pow y 3)))))
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* -1 (/ (pow x 3) (pow y 4)))
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(* (pow x 3) (- (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (+ (/ 1 (* x y)) (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(/ 1 x)
(/ (+ 1 (/ y x)) x)
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)
(* -1 (/ (pow x 6) (pow y 5)))
(* -1 (* (pow x 6) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 5)))))
(* (pow x 6) (- (/ 1 (* (pow x 2) (pow y 3))) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 5)))))
(* (pow x 6) (- (/ 1 (* (pow x 2) (pow y 3))) (+ (/ 1 (* x (pow y 4))) (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow y 5))))))
(/ (pow x 3) (pow y 2))
(* (pow x 3) (+ (/ 1 (pow y 2)) (/ y (pow x 3))))
(* -1 (/ (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* (pow x 3) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(+ y (/ (pow y 2) x))
(+ y (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)))
(+ y (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (/ (pow y 2) x) (/ (pow y 5) (pow x 4)))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(* (pow x 6) (- (/ y (pow x 6)) (/ 1 (pow y 5))))
(* -1 (/ (pow y 3) (pow x 3)))
(/ (+ (* -1 (/ (pow y 6) (pow x 3))) (* -1 (pow y 3))) (pow x 3))
(/ (+ (* -1 (/ (pow y 6) (pow x 3))) (+ (* -1 (/ (pow y 9) (pow x 6))) (* -1 (pow y 3)))) (pow x 3))
(/ (- (+ (* -1 (/ (pow y 6) (pow x 3))) (+ (* -1 (/ (pow y 12) (pow x 9))) (* -1 (pow y 3)))) (/ (pow y 9) (pow x 6))) (pow x 3))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4)))))
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))
(* (pow x 6) (- (* -1 (/ (- (/ 1 (pow y 4)) (/ 1 (* x (pow y 3)))) x)) (/ 1 (pow y 5))))
(* (pow x 6) (- (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* (pow x 2) y))) x)) (/ 1 (pow y 4))) x)) (/ 1 (pow y 5))))
(* -1 (* (pow x 3) (- (* -1 (/ y (pow x 3))) (/ 1 (pow y 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x y)) (/ 1 (pow x 2))) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(+ y (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x)))
(+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow y 3)) (/ (pow y 5) (pow x 2))) x)) (* -1 (pow y 2))) x)))
(* -1 (/ (+ (/ (pow y 6) (pow x 3)) (pow y 3)) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 9) (pow x 3))) (* -1 (pow y 6))) (pow x 3))) (pow y 3)) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ (pow y 12) (pow x 3)) (* -1 (pow y 9))) (pow x 3))) (* -1 (pow y 6))) (pow x 3))) (pow y 3)) (pow x 3)))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(pow y 2)
(/ (+ (* -1 (* (pow x 2) y)) (* -1 (pow x 3))) (pow y 4))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* x y)))) (pow y 4))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* y (+ x y))))) (pow y 4))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/ (+ (* -1 (pow x 2)) (* y (+ x y))) (pow y 2))
(+ (/ 1 x) (/ y (pow x 2)))
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ (+ (* -1 (* (pow x 5) y)) (* -1 (pow x 6))) (pow y 5))
(/ (+ (* -1 (pow x 6)) (* y (+ (* -1 (pow x 5)) (* (pow x 4) y)))) (pow y 5))
(/ (+ (* -1 (pow x 6)) (* y (+ (* -1 (pow x 5)) (* y (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 4)))))) (pow y 5))
(/ (+ (pow x 3) (pow y 3)) (pow y 2))
(/ (+ (* -1 (* (pow x 2) y)) (* -1 (pow x 3))) (pow y 3))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* x y)))) (pow y 3))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* y (+ x y))))) (pow y 3))
(* y (+ 1 (/ y x)))
(* y (+ 1 (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))))
(* y (+ 1 (* y (+ (* y (- (/ (pow y 2) (pow x 4)) (/ 1 (pow x 2)))) (/ 1 x)))))
(/ (+ (* -1 (pow x 2)) (* x y)) y)
(/ (+ (* -1 (pow x 6)) (pow y 6)) (pow y 5))
(* (pow y 3) (- (* -1 (/ (pow y 3) (pow x 6))) (/ 1 (pow x 3))))
(* (pow y 3) (- (* (pow y 3) (- (* -1 (/ (pow y 3) (pow x 9))) (/ 1 (pow x 6)))) (/ 1 (pow x 3))))
(* (pow y 3) (- (* (pow y 3) (- (* (pow y 3) (- (* -1 (/ (pow y 3) (pow x 12))) (/ 1 (pow x 9)))) (/ 1 (pow x 6)))) (/ 1 (pow x 3))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(/ (+ 1 (/ x y)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)))) y)
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)
(* y (+ 1 (/ x y)))
(* y (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))
(* y (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 4) (pow y 4))))))
(* y (+ 1 (/ (pow x 3) (pow y 3))))
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))))
(+ x (* -1 (/ (pow x 2) y)))
(* y (+ 1 (* -1 (/ (pow x 6) (pow y 6)))))
(+ 1 (+ (/ (pow x 3) (pow y 3)) (/ (pow x 6) (pow y 6))))
(- (+ 1 (+ (/ (pow x 3) (pow y 3)) (/ (pow x 9) (pow y 9)))) (* -1 (/ (pow x 6) (pow y 6))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) 1) y))
(+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 4) (pow y 2))) (pow x 2)) y))) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 3) (pow y 3))) 1)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)))
(* -1 (* y (- (/ (pow x 6) (pow y 6)) 1)))
(+ 1 (* -1 (/ (+ (* -1 (/ (pow x 6) (pow y 3))) (* -1 (pow x 3))) (pow y 3))))
(+ 1 (* -1 (/ (+ (* -1 (/ (- (/ (pow x 9) (pow y 3)) (* -1 (pow x 6))) (pow y 3))) (* -1 (pow x 3))) (pow y 3))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
y
@0
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (/ (* 2 x) (* y y))) -1) (* 2 x) (* y y) (* (pow y -1) (- (+ (/ (+ (* (neg x) (/ x y)) x) y) 1) (pow (/ x y) 3))) (+ (/ (+ (* (neg x) (/ x y)) x) y) 1) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (/ (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1))) y) (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (/ (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (* y (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))) y) (/ (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (* y (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))) (* y 1) (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (/ (* 2 x) (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1))) (* y (- 1 (pow (/ x y) 6))) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))
6.0ms
x
@inf
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (/ (* 2 x) (* y y))) -1) (* 2 x) (* y y) (* (pow y -1) (- (+ (/ (+ (* (neg x) (/ x y)) x) y) 1) (pow (/ x y) 3))) (+ (/ (+ (* (neg x) (/ x y)) x) y) 1) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (/ (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1))) y) (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (/ (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (* y (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))) y) (/ (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (* y (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))) (* y 1) (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (/ (* 2 x) (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1))) (* y (- 1 (pow (/ x y) 6))) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))
6.0ms
x
@-inf
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (/ (* 2 x) (* y y))) -1) (* 2 x) (* y y) (* (pow y -1) (- (+ (/ (+ (* (neg x) (/ x y)) x) y) 1) (pow (/ x y) 3))) (+ (/ (+ (* (neg x) (/ x y)) x) y) 1) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (/ (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1))) y) (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (/ (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (* y (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))) y) (/ (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (* y (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))) (* y 1) (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (/ (* 2 x) (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1))) (* y (- 1 (pow (/ x y) 6))) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))
5.0ms
x
@0
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (/ (* 2 x) (* y y))) -1) (* 2 x) (* y y) (* (pow y -1) (- (+ (/ (+ (* (neg x) (/ x y)) x) y) 1) (pow (/ x y) 3))) (+ (/ (+ (* (neg x) (/ x y)) x) y) 1) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (/ (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1))) y) (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (/ (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (* y (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))) y) (/ (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (* y (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))) (* y 1) (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (/ (* 2 x) (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1))) (* y (- 1 (pow (/ x y) 6))) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))
4.0ms
y
@-inf
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* x (/ (* 2 x) (* y y))) -1) (* 2 x) (* y y) (* (pow y -1) (- (+ (/ (+ (* (neg x) (/ x y)) x) y) 1) (pow (/ x y) 3))) (+ (/ (+ (* (neg x) (/ x y)) x) y) 1) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (/ (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1))) y) (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (/ (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (* y (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))) y) (/ (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (* y (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))) (* y 1) (+ (* (+ (* (neg x) (/ x y)) x) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6)))) (* y 1)) (/ (* 2 x) (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (* y (+ (pow (/ x y) 3) 1))) (* y (- 1 (pow (/ x y) 6))) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (pow (/ x y) 3) 1) (- 1 (pow (/ x y) 6))))

simplify191.0ms (2.3%)

Memory
5.2MiB live, 244.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05832333
117132191
254462079
088032031
Stop Event
iter limit
node limit
Counts
140 → 138
Calls
Call 1
Inputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* 2 x)
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
1
(+ 1 (/ x y))
(+ 1 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))
y
(+ x y)
(+ y (* x (+ 1 (* -1 (/ x y)))))
(+ y (* x (+ 1 (* x (- (/ (pow x 2) (pow y 3)) (/ 1 y))))))
(+ y (/ (pow x 3) (pow y 2)))
(+ 1 (* x (+ (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(* 2 (/ x (pow y 2)))
(/ (pow x 3) (pow y 3))
x
(* x (+ 1 (* -1 (/ x y))))
(+ y (* -1 (/ (pow x 6) (pow y 5))))
(+ 1 (/ (pow x 3) (pow y 3)))
(+ 1 (* (pow x 3) (+ (/ 1 (pow y 3)) (/ (pow x 3) (pow y 6)))))
(+ 1 (* (pow x 3) (+ (* (pow x 3) (+ (/ 1 (pow y 6)) (/ (pow x 3) (pow y 9)))) (/ 1 (pow y 3)))))
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* -1 (/ (pow x 3) (pow y 4)))
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(* (pow x 3) (- (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4)))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (+ (/ 1 (* x y)) (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(/ 1 x)
(/ (+ 1 (/ y x)) x)
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)
(* -1 (/ (pow x 6) (pow y 5)))
(* -1 (* (pow x 6) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 5)))))
(* (pow x 6) (- (/ 1 (* (pow x 2) (pow y 3))) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 5)))))
(* (pow x 6) (- (/ 1 (* (pow x 2) (pow y 3))) (+ (/ 1 (* x (pow y 4))) (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow y 5))))))
(/ (pow x 3) (pow y 2))
(* (pow x 3) (+ (/ 1 (pow y 2)) (/ y (pow x 3))))
(* -1 (/ (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* (pow x 3) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(+ y (/ (pow y 2) x))
(+ y (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)))
(+ y (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (/ (pow y 2) x) (/ (pow y 5) (pow x 4)))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(* (pow x 6) (- (/ y (pow x 6)) (/ 1 (pow y 5))))
(* -1 (/ (pow y 3) (pow x 3)))
(/ (+ (* -1 (/ (pow y 6) (pow x 3))) (* -1 (pow y 3))) (pow x 3))
(/ (+ (* -1 (/ (pow y 6) (pow x 3))) (+ (* -1 (/ (pow y 9) (pow x 6))) (* -1 (pow y 3)))) (pow x 3))
(/ (- (+ (* -1 (/ (pow y 6) (pow x 3))) (+ (* -1 (/ (pow y 12) (pow x 9))) (* -1 (pow y 3)))) (/ (pow y 9) (pow x 6))) (pow x 3))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4)))))
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))
(* (pow x 6) (- (* -1 (/ (- (/ 1 (pow y 4)) (/ 1 (* x (pow y 3)))) x)) (/ 1 (pow y 5))))
(* (pow x 6) (- (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* (pow x 2) y))) x)) (/ 1 (pow y 4))) x)) (/ 1 (pow y 5))))
(* -1 (* (pow x 3) (- (* -1 (/ y (pow x 3))) (/ 1 (pow y 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x y)) (/ 1 (pow x 2))) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(+ y (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x)))
(+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow y 3)) (/ (pow y 5) (pow x 2))) x)) (* -1 (pow y 2))) x)))
(* -1 (/ (+ (/ (pow y 6) (pow x 3)) (pow y 3)) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 9) (pow x 3))) (* -1 (pow y 6))) (pow x 3))) (pow y 3)) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ (pow y 12) (pow x 3)) (* -1 (pow y 9))) (pow x 3))) (* -1 (pow y 6))) (pow x 3))) (pow y 3)) (pow x 3)))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(pow y 2)
(/ (+ (* -1 (* (pow x 2) y)) (* -1 (pow x 3))) (pow y 4))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* x y)))) (pow y 4))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* y (+ x y))))) (pow y 4))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/ (+ (* -1 (pow x 2)) (* y (+ x y))) (pow y 2))
(+ (/ 1 x) (/ y (pow x 2)))
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ (+ (* -1 (* (pow x 5) y)) (* -1 (pow x 6))) (pow y 5))
(/ (+ (* -1 (pow x 6)) (* y (+ (* -1 (pow x 5)) (* (pow x 4) y)))) (pow y 5))
(/ (+ (* -1 (pow x 6)) (* y (+ (* -1 (pow x 5)) (* y (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 4)))))) (pow y 5))
(/ (+ (pow x 3) (pow y 3)) (pow y 2))
(/ (+ (* -1 (* (pow x 2) y)) (* -1 (pow x 3))) (pow y 3))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* x y)))) (pow y 3))
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* y (+ x y))))) (pow y 3))
(* y (+ 1 (/ y x)))
(* y (+ 1 (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))))
(* y (+ 1 (* y (+ (* y (- (/ (pow y 2) (pow x 4)) (/ 1 (pow x 2)))) (/ 1 x)))))
(/ (+ (* -1 (pow x 2)) (* x y)) y)
(/ (+ (* -1 (pow x 6)) (pow y 6)) (pow y 5))
(* (pow y 3) (- (* -1 (/ (pow y 3) (pow x 6))) (/ 1 (pow x 3))))
(* (pow y 3) (- (* (pow y 3) (- (* -1 (/ (pow y 3) (pow x 9))) (/ 1 (pow x 6)))) (/ 1 (pow x 3))))
(* (pow y 3) (- (* (pow y 3) (- (* (pow y 3) (- (* -1 (/ (pow y 3) (pow x 12))) (/ 1 (pow x 9)))) (/ 1 (pow x 6)))) (/ 1 (pow x 3))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(/ (+ 1 (/ x y)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)))) y)
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)
(* y (+ 1 (/ x y)))
(* y (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))
(* y (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 4) (pow y 4))))))
(* y (+ 1 (/ (pow x 3) (pow y 3))))
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))))
(+ x (* -1 (/ (pow x 2) y)))
(* y (+ 1 (* -1 (/ (pow x 6) (pow y 6)))))
(+ 1 (+ (/ (pow x 3) (pow y 3)) (/ (pow x 6) (pow y 6))))
(- (+ 1 (+ (/ (pow x 3) (pow y 3)) (/ (pow x 9) (pow y 9)))) (* -1 (/ (pow x 6) (pow y 6))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) 1) y))
(+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 4) (pow y 2))) (pow x 2)) y))) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 3) (pow y 3))) 1)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)))
(* -1 (* y (- (/ (pow x 6) (pow y 6)) 1)))
(+ 1 (* -1 (/ (+ (* -1 (/ (pow x 6) (pow y 3))) (* -1 (pow x 3))) (pow y 3))))
(+ 1 (* -1 (/ (+ (* -1 (/ (- (/ (pow x 9) (pow y 3)) (* -1 (pow x 6))) (pow y 3))) (* -1 (pow x 3))) (pow y 3))))
Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ x (pow y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal 1 binary64) y))
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) #s(literal 1 binary64))
y
(+ x y)
(+.f64 y x)
(+ y (* x (+ 1 (* -1 (/ x y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x y)
(+ y (* x (+ 1 (* x (- (/ (pow x 2) (pow y 3)) (/ 1 y))))))
(fma.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 x y)) #s(literal 1 binary64)) x y)
(+ y (/ (pow x 3) (pow y 2)))
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(fma.f64 (fma.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) (*.f64 y y) y)
(/ (+ (* -1 (pow x 2)) (* x y)) y)
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y x)) y)
(/ (+ (* -1 (pow x 6)) (pow y 6)) (pow y 5))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 3) (- (* -1 (/ (pow y 3) (pow x 6))) (/ 1 (pow x 3))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (- (* (pow y 3) (- (* -1 (/ (pow y 3) (pow x 9))) (/ 1 (pow x 6)))) (/ 1 (pow x 3))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)))) (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (- (* (pow y 3) (- (* (pow y 3) (- (* -1 (/ (pow y 3) (pow x 12))) (/ 1 (pow x 9)))) (/ 1 (pow x 6)))) (/ 1 (pow x 3))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
#s(literal -1 binary64)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(/ (+ 1 (/ x y)) y)
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) #s(literal 1 binary64)) y)
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) #s(literal 1 binary64))
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) y y)
(* y (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 4) (pow y 4))))))
(fma.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y)) y y)
(* y (+ 1 (/ (pow x 3) (pow y 3))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) y y)
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(+ x (* -1 (/ (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(* y (+ 1 (* -1 (/ (pow x 6) (pow y 6)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (neg.f64 y) y)
(+ 1 (+ (/ (pow x 3) (pow y 3)) (/ (pow x 6) (pow y 6))))
(+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1 binary64))
(- (+ 1 (+ (/ (pow x 3) (pow y 3)) (/ (pow x 9) (pow y 9)))) (* -1 (/ (pow x 6) (pow y 6))))
(+.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
#s(literal -1 binary64)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) y)) y)
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y)) y)
(+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) y))
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y)) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1)))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) y) (neg.f64 y) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 4) (pow y 2))) (pow x 2)) y))) y)) 1)))
(fma.f64 (/.f64 (-.f64 x (/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) y)) y)) (neg.f64 y)) (neg.f64 y) y)
(* -1 (* y (- (* -1 (/ (pow x 3) (pow y 3))) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 y))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y))
(* -1 (* y (- (/ (pow x 6) (pow y 6)) 1)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (neg.f64 y) y)
(+ 1 (* -1 (/ (+ (* -1 (/ (pow x 6) (pow y 3))) (* -1 (pow x 3))) (pow y 3))))
(+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (- (/ (pow x 9) (pow y 3)) (* -1 (pow x 6))) (pow y 3))) (* -1 (pow x 3))) (pow y 3))))
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))

rewrite200.0ms (2.4%)

Memory
4.2MiB live, 234.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051567
085557
1386493
23473493
08380482
Stop Event
iter limit
node limit
iter limit
Counts
24 → 676
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 y y)
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64))
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (-.f64 x y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))
(*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)) (-.f64 x y))
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y)
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))))
(*.f64 y #s(literal 1 binary64))
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(fma.f64 (neg.f64 x) (/.f64 x y) x)
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 x))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 x))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 x)))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 x)))))
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y
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(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 12 binary64)))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 18 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64)))

eval230.0ms (2.8%)

Memory
-7.4MiB live, 394.2MiB allocated
Compiler

Compiled 69 558 to 6 420 computations (90.8% saved)

prune26.0ms (0.3%)

Memory
9.1MiB live, 86.8MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1 19011 191
Fresh000
Picked224
Done066
Total1 19291 201
Accuracy
99.4%
Counts
1 201 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
63.6%
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 #s(approx (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (fma.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 x y)) #s(literal 1 binary64)) x y)) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)) (-.f64 x y))
63.1%
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
63.1%
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (-.f64 x y))
64.5%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
57.1%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
64.5%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
37.3%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
63.2%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
Compiler

Compiled 718 to 263 computations (63.4% saved)

regimes42.0ms (0.5%)

Memory
-13.9MiB live, 24.3MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (-.f64 x y))
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 #s(approx (+ (* (+ (* (neg x) (/ x y)) x) (+ (pow (/ x y) 3) 1)) (* y (- 1 (pow (/ x y) 6)))) (fma.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 x y)) #s(literal 1 binary64)) x y)) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)) (-.f64 x y))
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) y)) (-.f64 x y))
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))))) y)) (-.f64 x y))
Outputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
Calls

3 calls:

33.0ms
y
4.0ms
x
3.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
AccuracySegmentsBranch
88.0%2x
92.3%3y
93.1%2(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
Outputs
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
Calls

1 calls:

2.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
AccuracySegmentsBranch
92.7%2(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
Calls

1 calls:

2.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
AccuracySegmentsBranch
93.0%3(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
Calls

1 calls:

2.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
AccuracySegmentsBranch
92.6%3(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
AccuracySegmentsBranch
92.4%3(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes25.0ms (0.3%)

Memory
-31.8MiB live, 9.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
Calls

3 calls:

22.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
AccuracySegmentsBranch
63.2%1x
63.2%1y
63.2%1(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
0.0ms
-0.9999991314623327
1.0
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
0.0ms
-0.9999991314623327
1.0
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch75.0ms (0.9%)

Memory
19.8MiB live, 59.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-failed
narrow-enough
Steps
TimeLeftRight
60.0ms
1.0
NaN
13.0ms
-0.9999991314623327
1.0
Samples
54.0ms416×0valid
2.0ms101×0invalid
Compiler

Compiled 902 to 638 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify69.0ms (0.8%)

Memory
1.4MiB live, 37.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049406
169406
296406
3167406
4290406
5590406
61557406
74331406
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal +inf.0 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
Outputs
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal +inf.0 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

soundness580.0ms (7.1%)

Memory
-31.3MiB live, 345.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189539
1601456
22005415
08023386
030160
043155
1164155
21298155
08475155
039238
063226
1282218
22416218
08358208
0941
01641
16641
255141
0825939
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 649 to 194 computations (70.1% saved)

preprocess103.0ms (1.3%)

Memory
17.5MiB live, 96.5MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 1 194 to 260 computations (78.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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