Kahan p9 Example

Time bar (total: 3.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze18.0ms (0.5%)

Memory
-36.1MiB live, 7.2MiB allocated; 14ms collecting garbage
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)

sample939.0ms (27.2%)

Memory
60.7MiB live, 1 279.4MiB allocated; 286ms collecting garbage
Samples
597.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 387.0ms
ival-mult: 196.0ms (50.7% of total)
ival-add: 84.0ms (21.7% of total)
ival-sub: 52.0ms (13.4% of total)
ival-div: 49.0ms (12.7% of total)
ival-assert: 3.0ms (0.8% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain108.0ms (3.1%)

Memory
-2.9MiB live, 157.9MiB allocated; 16ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
700-0-(/.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)))o/o350
(*.f64 (-.f64 x y) (+.f64 x y))overflow35
(*.f64 y y)overflow35
(+.f64 (*.f64 x x) (*.f64 y y))overflow35
/.f64(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))u/u350
(*.f64 (-.f64 x y) (+.f64 x y))underflow35
(*.f64 y y)underflow84
(*.f64 x x)underflow119
(+.f64 (*.f64 x x) (*.f64 y y))underflow35
Confusion
Predicted +Predicted -
+700
-0186
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7000
-00186
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0186
170
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
Compiler

Compiled 105 to 31 computations (70.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 11.0ms (48% of total)
ival-add: 5.0ms (21.8% of total)
ival-sub: 4.0ms (17.4% of total)
ival-div: 3.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess131.0ms (3.8%)

Memory
-19.8MiB live, 120.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03099
111393
231593
373890
4177290
5294090
6564490
0915
01615
13715
29915
327715
452615
5109015
6247615
7471415
8741015
0802614
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 (-.f64 x (neg.f64 y)) y (*.f64 (-.f64 (neg.f64 x) y) x)) (fma.f64 (neg.f64 y) y (*.f64 (neg.f64 x) x)))
Symmetry

(abs x)

(abs y)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 15 to 9 computations (40% saved)

series10.0ms (0.3%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
9 → 56
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
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (pow x 2)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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))))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

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

rewrite173.0ms (5%)

Memory
1.0MiB live, 183.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02571353
02651235
116281198
083061149
Stop Event
iter limit
node limit
iter limit
Counts
65 → 153
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)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (pow x 2)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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))))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
(*.f64 (-.f64 x y) (/.f64 (+.f64 y x) (fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 y x)) (*.f64 (+.f64 y x) (fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 y y (*.f64 x y))) (-.f64 x y)) (+.f64 y x)) (*.f64 (fma.f64 x x (fma.f64 y y (*.f64 x y))) (fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))) (/.f64 (*.f64 y (-.f64 x y)) (fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (-.f64 x y) x) (fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))) (/.f64 (*.f64 (-.f64 x y) y) (fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))))
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x
y
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#s(approx (+ x y) x)
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#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x y) #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 x x)) (fma.f64 x (*.f64 y y) (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y y) y)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))) (*.f64 (*.f64 y y) #s(literal 2 binary64))))))
#s(approx (* (- x y) (+ x y)) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (* (- x y) (+ x y)) (*.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x y) (*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))
#s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (*.f64 (*.f64 #s(literal -1 binary64) y) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) y)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) x)))) (*.f64 (*.f64 #s(literal -1 binary64) y) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 x x)) y (*.f64 (fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (/.f64 x y)) (fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))) (*.f64 (fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal -1 binary64) x)))) y)) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (* (- x y) (+ x y)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (* (- x y) (+ x y)) (*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (- x y) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64)) y) #s(literal -1 binary64)))
#s(approx (+ x y) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) y) #s(literal -1 binary64)))

eval19.0ms (0.5%)

Memory
-21.3MiB live, 24.6MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 299 to 642 computations (85.1% saved)

prune36.0ms (1%)

Memory
41.2MiB live, 41.2MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1614165
Fresh000
Picked101
Done000
Total1624166
Accuracy
99.2%
Counts
166 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(/.f64 (*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))) (+.f64 (*.f64 x x) (*.f64 y y)))
28.4%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
39.6%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
62.1%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
Compiler

Compiled 118 to 73 computations (38.1% saved)

series28.0ms (0.8%)

Memory
-8.4MiB live, 38.3MiB allocated; 2ms collecting garbage
Counts
32 → 98
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 0 binary64) (/.f64 x y))
#s(literal 0 binary64)
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 y x)
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
(*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 y y)
(/.f64 (*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))) (+.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y)))
(-.f64 x y)
#s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y)
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 x x) (*.f64 y y))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))
#s(approx (- (* (* 0 (/ x y)) -1) 1) #s(hole binary64 -1))
#s(approx (* (* 0 (/ x y)) -1) #s(hole binary64 0))
#s(approx (* 0 (/ x y)) #s(hole binary64 0))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) #s(hole binary64 (* -2 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) #s(hole binary64 (/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (pow (* (/ y x) -1) 2) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (* (/ y x) -1) #s(hole binary64 (* -1 (/ y x))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (* 2 (/ (pow y 4) (pow x 4)))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (/ (+ (* -2 (* (pow x 2) (pow y 2))) (* 2 (pow y 4))) (pow x 4))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (/ (+ (* 2 (pow y 4)) (* (pow x 2) (+ (* -2 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) #s(hole binary64 (* 2 (/ (pow y 2) (pow x 4)))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) #s(hole binary64 (/ (+ (* -2 (pow x 2)) (* 2 (pow y 2))) (pow x 4))))
#s(approx (* (pow (* x x) -1) 2) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (pow (* x x) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* -2 (pow (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 (+ x y)))
#s(approx (+ (* (/ x y) 1) 1) #s(hole binary64 1))
#s(approx (+ (* (/ x y) 1) 1) #s(hole binary64 (+ 1 (/ x y))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (* 2 (/ (pow y 4) (pow x 4)))))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) #s(hole binary64 (/ (- (* 2 (/ (pow y 2) (pow x 2))) 2) (pow x 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (pow x 2)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 x))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* (/ x y) 1) 1) #s(hole binary64 (/ x y)))
#s(approx (+ (* (/ x y) 1) 1) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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))))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) #s(hole binary64 (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (+ (* (/ x y) 1) 1) #s(hole binary64 (/ (+ x y) y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (* 2 (/ 1 (pow x 4))) (* 2 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ (* 2 (/ 1 (pow x 4))) (/ 1 (pow y 4))) (/ 2 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) #s(hole binary64 (* (pow y 2) (- (* 2 (/ 1 (pow x 4))) (* 2 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

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

rewrite159.0ms (4.6%)

Memory
-9.2MiB live, 179.9MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03752613
04172245
121782071
084072018
Stop Event
iter limit
node limit
iter limit
Counts
130 → 453
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 0 binary64) (/.f64 x y))
#s(literal 0 binary64)
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 y x)
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
(*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 y y)
(/.f64 (*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))) (+.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y)))
(-.f64 x y)
#s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y)
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 x x) (*.f64 y y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))
#s(approx (- (* (* 0 (/ x y)) -1) 1) #s(hole binary64 -1))
#s(approx (* (* 0 (/ x y)) -1) #s(hole binary64 0))
#s(approx (* 0 (/ x y)) #s(hole binary64 0))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) #s(hole binary64 (* -2 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) #s(hole binary64 (/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (pow (* (/ y x) -1) 2) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (* (/ y x) -1) #s(hole binary64 (* -1 (/ y x))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (* 2 (/ (pow y 4) (pow x 4)))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (/ (+ (* -2 (* (pow x 2) (pow y 2))) (* 2 (pow y 4))) (pow x 4))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (/ (+ (* 2 (pow y 4)) (* (pow x 2) (+ (* -2 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) #s(hole binary64 (* 2 (/ (pow y 2) (pow x 4)))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) #s(hole binary64 (/ (+ (* -2 (pow x 2)) (* 2 (pow y 2))) (pow x 4))))
#s(approx (* (pow (* x x) -1) 2) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (pow (* x x) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* -2 (pow (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 (+ x y)))
#s(approx (+ (* (/ x y) 1) 1) #s(hole binary64 1))
#s(approx (+ (* (/ x y) 1) 1) #s(hole binary64 (+ 1 (/ x y))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (* 2 (/ (pow y 4) (pow x 4)))))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) #s(hole binary64 (/ (- (* 2 (/ (pow y 2) (pow x 2))) 2) (pow x 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (pow x 2)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 x))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* (/ x y) 1) 1) #s(hole binary64 (/ x y)))
#s(approx (+ (* (/ x y) 1) 1) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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))))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) #s(hole binary64 (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (+ (* (/ x y) 1) 1) #s(hole binary64 (/ (+ x y) y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (* 2 (/ 1 (pow x 4))) (* 2 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ (* 2 (/ 1 (pow x 4))) (/ 1 (pow y 4))) (/ 2 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) #s(hole binary64 (* (pow y 2) (- (* 2 (/ 1 (pow x 4))) (* 2 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (+ (* (/ x y) 1) 1) y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (neg.f64 (*.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64))
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#s(approx (* (* 0 (/ x y)) -1) #s(literal 0 binary64))
#s(approx (* (* 0 (/ x y)) -1) #s(literal 0 binary64))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 y y) x)))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (pow (* (/ y x) -1) 2) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)))
#s(approx (* (/ y x) -1) (*.f64 (/.f64 y x) #s(literal -1 binary64)))
#s(approx (/ y x) (/.f64 y x))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) (*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 y y) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -2 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (*.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (/.f64 (fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (pow.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (pow (* x x) -1) 2) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
#s(approx (pow (* x x) -1) (pow.f64 x #s(literal -2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* -2 (pow (* x x) -1)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
#s(approx (* (- x y) (+ x y)) (*.f64 (*.f64 y y) #s(literal -1 binary64)))
#s(approx (* (- x y) (+ x y)) (fma.f64 (*.f64 #s(literal 0 binary64) y) x (*.f64 (*.f64 y y) #s(literal -1 binary64))))
#s(approx (* (- x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 0 binary64) y x) x (*.f64 (*.f64 y y) #s(literal -1 binary64))))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x y) (fma.f64 #s(literal -1 binary64) y x))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx (* (+ (* (/ x y) 1) 1) y) y)
#s(approx (* (+ (* (/ x y) 1) 1) y) (+.f64 y x))
#s(approx (+ (* (/ x y) 1) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ x y) 1) 1) (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
#s(approx (+ (* x x) (* y y)) (fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y)))
#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 #s(literal 0 binary64) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (+.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) x (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x x) x))) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (+.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y y) x)) (/.f64 y x)) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y y) x)) (/.f64 y x))))) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) #s(literal 1 binary64))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -2 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 y y) x)) (*.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1 binary64)))))
#s(approx (* (- x y) (+ x y)) (*.f64 x x))
#s(approx (* (- x y) (+ x y)) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (- x y) (+ x y)) (*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) x (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x x) x))) (*.f64 x x)))
#s(approx (- x y) x)
#s(approx (- x y) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (+ x y) x)
#s(approx (+ x y) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (/ x y) 1) 1) y) x)
#s(approx (* (+ (* (/ x y) 1) 1) y) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (/ x y) 1) 1) (/.f64 x y))
#s(approx (+ (* (/ x y) 1) 1) (fma.f64 x (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 y #s(literal -1 binary64)))))
#s(approx (+ (* x x) (* y y)) (*.f64 x x))
#s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) x) (/.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) x)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (/.f64 y x))) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (* (- x y) (+ x y)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- x y) (*.f64 (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal -1 binary64)))
#s(approx (+ x y) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64)))
#s(approx (* (+ (* (/ x y) 1) 1) y) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64)))) (*.f64 y y) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx y y)
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) (fma.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))))
#s(approx (* y y) (*.f64 y y))
#s(approx (* (- x y) (+ x y)) (fma.f64 (*.f64 #s(literal 0 binary64) x) y (*.f64 x x)))
#s(approx (* (- x y) (+ x y)) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) x) y (*.f64 x x)))
#s(approx (- x y) (fma.f64 #s(literal -1 binary64) y x))
#s(approx (+ (* (/ x y) 1) 1) (/.f64 (+.f64 y x) y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1 binary64)) (*.f64 y (*.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y (*.f64 (*.f64 y y) #s(literal -1 binary64))))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))) (*.f64 (*.f64 y y) #s(literal 2 binary64)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1 binary64)) (*.f64 y (*.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y (*.f64 (*.f64 y y) #s(literal -1 binary64)))))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))) (*.f64 (*.f64 y y) #s(literal 2 binary64)))))
#s(approx (+ (* (pow (* (/ y x) -1) 2) -2) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 y y)))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) y)))) (pow.f64 (*.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (* y y)) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) (/.f64 #s(literal 2 binary64) y))) (pow.f64 (*.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (* (pow (* x x) -1) 2) (pow (* (/ y x) -1) 2)) (* -2 (pow (* x x) -1))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) y)))) (*.f64 y y)))
#s(approx (* (- x y) (+ x y)) (*.f64 (*.f64 y y) #s(literal -1 binary64)))
#s(approx (* (- x y) (+ x y)) (*.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1 binary64)) (*.f64 y (*.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y (*.f64 (*.f64 y y) #s(literal -1 binary64))))) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))
#s(approx (* (+ (* (/ x y) 1) 1) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))
#s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x x)) y) #s(literal -1 binary64))) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x x))) y) #s(literal -1 binary64))) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (* (- x y) (+ x y)) (*.f64 (*.f64 y y) #s(literal -1 binary64)))
#s(approx (* (- x y) (+ x y)) (*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (- x y) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64)) y) #s(literal -1 binary64)))
#s(approx (+ x y) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) y) #s(literal -1 binary64)))
#s(approx (* (+ (* (/ x y) 1) 1) y) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) y) #s(literal -1 binary64)))

eval86.0ms (2.5%)

Memory
-16.6MiB live, 125.9MiB allocated; 24ms collecting garbage
Compiler

Compiled 27 399 to 2 567 computations (90.6% saved)

prune223.0ms (6.5%)

Memory
7.1MiB live, 294.3MiB allocated; 27ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New6571658
Fresh000
Picked134
Done000
Total6584662
Accuracy
99.2%
Counts
662 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(/.f64 (*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))) (+.f64 (*.f64 x x) (*.f64 y y)))
28.4%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
39.6%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64)))
62.1%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
Compiler

Compiled 121 to 75 computations (38% saved)

series202.0ms (5.8%)

Memory
23.3MiB live, 208.3MiB allocated; 26ms collecting garbage
Counts
13 → 48
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
y
#s(literal 2 binary64)
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (- (* 2 (log y)) (* 2 (log x))))))))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) #s(hole binary64 (exp (- (* 2 (log y)) (* 2 (log x))))))
#s(approx (- (* (log y) 2) (* (log x) 2)) #s(hole binary64 (- (* 2 (log y)) (* 2 (log x)))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (- (* 2 (log y)) (* -2 (log (/ 1 x)))))))))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) #s(hole binary64 (exp (- (* 2 (log y)) (* -2 (log (/ 1 x)))))))
#s(approx (- (* (log y) 2) (* (log x) 2)) #s(hole binary64 (- (* 2 (log y)) (* -2 (log (/ 1 x))))))
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (- (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))))))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) #s(hole binary64 (exp (- (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))))
#s(approx (- (* (log y) 2) (* (log x) 2)) #s(hole binary64 (- (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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))))))))
#s(approx (* (log y) 2) #s(hole binary64 (* 2 (log y))))
#s(approx (log y) #s(hole binary64 (log y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (- (* -2 (log (/ 1 y))) (* 2 (log x))))))))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) #s(hole binary64 (exp (- (* -2 (log (/ 1 y))) (* 2 (log x))))))
#s(approx (- (* (log y) 2) (* (log x) 2)) #s(hole binary64 (- (* -2 (log (/ 1 y))) (* 2 (log x)))))
#s(approx (* (log y) 2) #s(hole binary64 (* -2 (log (/ 1 y)))))
#s(approx (log y) #s(hole binary64 (* -1 (log (/ 1 y)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 y))))) (* 2 (log x))))))))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) #s(hole binary64 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 y))))) (* 2 (log x))))))
#s(approx (- (* (log y) 2) (* (log x) 2)) #s(hole binary64 (- (* 2 (+ (log -1) (* -1 (log (/ -1 y))))) (* 2 (log x)))))
#s(approx (* (log y) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))
#s(approx (log y) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 y))))))
Calls

6 calls:

TimeVariablePointExpression
64.0ms
x
@0
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) (exp (- (* (log y) 2) (* (log x) 2))) (- (* (log y) 2) (* (log x) 2)) (* (log y) 2) (log y) y 2 (* (log x) 2) (log x) x -2 1)
48.0ms
y
@inf
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) (exp (- (* (log y) 2) (* (log x) 2))) (- (* (log y) 2) (* (log x) 2)) (* (log y) 2) (log y) y 2 (* (log x) 2) (log x) x -2 1)
38.0ms
y
@0
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) (exp (- (* (log y) 2) (* (log x) 2))) (- (* (log y) 2) (* (log x) 2)) (* (log y) 2) (log y) y 2 (* (log x) 2) (log x) x -2 1)
23.0ms
x
@-inf
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) (exp (- (* (log y) 2) (* (log x) 2))) (- (* (log y) 2) (* (log x) 2)) (* (log y) 2) (log y) y 2 (* (log x) 2) (log x) x -2 1)
15.0ms
y
@-inf
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) (exp (- (* (log y) 2) (* (log x) 2))) (- (* (log y) 2) (* (log x) 2)) (* (log y) 2) (log y) y 2 (* (log x) 2) (log x) x -2 1)

rewrite192.0ms (5.6%)

Memory
21.1MiB live, 211.0MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02441359
02581163
115691090
092461056
Stop Event
iter limit
node limit
iter limit
Counts
61 → 163
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
y
#s(literal 2 binary64)
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (- (* 2 (log y)) (* 2 (log x))))))))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) #s(hole binary64 (exp (- (* 2 (log y)) (* 2 (log x))))))
#s(approx (- (* (log y) 2) (* (log x) 2)) #s(hole binary64 (- (* 2 (log y)) (* 2 (log x)))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (- (* 2 (log y)) (* -2 (log (/ 1 x)))))))))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) #s(hole binary64 (exp (- (* 2 (log y)) (* -2 (log (/ 1 x)))))))
#s(approx (- (* (log y) 2) (* (log x) 2)) #s(hole binary64 (- (* 2 (log y)) (* -2 (log (/ 1 x))))))
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (- (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))))))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) #s(hole binary64 (exp (- (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))))
#s(approx (- (* (log y) 2) (* (log x) 2)) #s(hole binary64 (- (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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))))))))
#s(approx (* (log y) 2) #s(hole binary64 (* 2 (log y))))
#s(approx (log y) #s(hole binary64 (log y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (- (* -2 (log (/ 1 y))) (* 2 (log x))))))))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) #s(hole binary64 (exp (- (* -2 (log (/ 1 y))) (* 2 (log x))))))
#s(approx (- (* (log y) 2) (* (log x) 2)) #s(hole binary64 (- (* -2 (log (/ 1 y))) (* 2 (log x)))))
#s(approx (* (log y) 2) #s(hole binary64 (* -2 (log (/ 1 y)))))
#s(approx (log y) #s(hole binary64 (* -1 (log (/ 1 y)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 y))))) (* 2 (log x))))))))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) #s(hole binary64 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 y))))) (* 2 (log x))))))
#s(approx (- (* (log y) 2) (* (log x) 2)) #s(hole binary64 (- (* 2 (+ (log -1) (* -1 (log (/ -1 y))))) (* 2 (log x)))))
#s(approx (* (log y) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))
#s(approx (log y) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 y))))))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 y y) x)) (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 y y) x))) #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 y y) x)) (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 y y) x))))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 y y) x)) (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 y y) x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 y y) x)) (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 y y) x))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))))))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 y y) x)) (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 y y) x))) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
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(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 x)) (log.f64 x))
(+.f64 (log.f64 (fabs.f64 x)) (log.f64 (fabs.f64 x)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 x) (log.f64 x))
(log.f64 (*.f64 x x))
(*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)))
(log.f64 x)
x
#s(literal -2 binary64)
#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))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 2 binary64))) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) y)) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) y)) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) (*.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
#s(approx (- (* (log y) 2) (* (log x) 2)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))))
#s(approx (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log x) (log.f64 x))
#s(approx 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))) (fma.f64 #s(literal 0 binary64) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) x (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x x) x))) (*.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 y y)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) x (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x x) x)))) (*.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) (*.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
#s(approx (- (* (log y) 2) (* (log x) 2)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))))
#s(approx (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log x) (log.f64 x))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) x) (/.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) x)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 y y)) x (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) y) (-.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal -1 binary64) y)))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (/.f64 y x))) #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) y) (-.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal -1 binary64) y)))) x))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (log.f64 y) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (log.f64 y) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (- (* (log y) 2) (* (log x) 2)) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 y) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (* (log x) 2) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (log x) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64)))) (*.f64 y y) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (* (log y) 2) (*.f64 (log.f64 y) #s(literal 2 binary64)))
#s(approx (log y) (log.f64 y))
#s(approx y y)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x y) (*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))) (*.f64 (*.f64 y y) #s(literal 2 binary64)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x y) #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 x x)) (fma.f64 x (*.f64 y y) (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y y) y)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))) (*.f64 (*.f64 y y) #s(literal 2 binary64))))))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) (*.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
#s(approx (- (* (log y) 2) (* (log x) 2)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))))
#s(approx (* (log y) 2) (*.f64 (log.f64 y) #s(literal 2 binary64)))
#s(approx (log y) (log.f64 y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) y (*.f64 (*.f64 #s(literal -1 binary64) y) (fma.f64 (-.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) x)))) (*.f64 (*.f64 #s(literal -1 binary64) y) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 x x)) y (*.f64 (fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (/.f64 x y)) (fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))) (*.f64 (fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal -1 binary64) x)))) y)) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (exp (- (* (log y) 2) (* (log x) 2))) -2) 1) (fma.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (exp (- (* (log y) 2) (* (log x) 2))) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))
#s(approx (- (* (log y) 2) (* (log x) 2)) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (log.f64 x))))
#s(approx (* (log y) 2) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (log y) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))

eval34.0ms (1%)

Memory
-6.3MiB live, 38.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 6 166 to 796 computations (87.1% saved)

prune52.0ms (1.5%)

Memory
-6.3MiB live, 80.5MiB allocated; 17ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1521153
Fresh000
Picked101
Done033
Total1534157
Accuracy
99.2%
Counts
157 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(/.f64 (*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))) (+.f64 (*.f64 x x) (*.f64 y y)))
28.4%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
39.6%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64)))
62.1%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
Compiler

Compiled 136 to 81 computations (40.4% saved)

series198.0ms (5.7%)

Memory
-22.7MiB live, 226.0MiB allocated; 72ms collecting garbage
Counts
19 → 67
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64))
(exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
y
#s(literal 2 binary64)
(pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
(fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 y))
#s(literal -1 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))
#s(approx (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (log x) 2))) (+ (* 2 (log x)) (* 2 (log y)))))))))
#s(approx (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) #s(hole binary64 (exp (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (log x) 2))) (+ (* 2 (log x)) (* 2 (log y)))))))
#s(approx (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) #s(hole binary64 (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (log x) 2))) (+ (* 2 (log x)) (* 2 (log y))))))
#s(approx (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) #s(hole binary64 (- (* 4 (pow (log y) 2)) (* 4 (pow (log x) 2)))))
#s(approx (pow (* (log x) 2) 2) #s(hole binary64 (* 4 (pow (log x) 2))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* -1 (log y)) -2) (* (log x) 2)) #s(hole binary64 (+ (* 2 (log x)) (* 2 (log y)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (log (/ 1 x)) 2))) (+ (* -2 (log (/ 1 x))) (* 2 (log y)))))))))
#s(approx (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) #s(hole binary64 (exp (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (log (/ 1 x)) 2))) (+ (* -2 (log (/ 1 x))) (* 2 (log y)))))))
#s(approx (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) #s(hole binary64 (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (log (/ 1 x)) 2))) (+ (* -2 (log (/ 1 x))) (* 2 (log y))))))
#s(approx (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) #s(hole binary64 (- (* 4 (pow (log y) 2)) (* 4 (pow (log (/ 1 x)) 2)))))
#s(approx (pow (* (log x) 2) 2) #s(hole binary64 (* 4 (pow (log (/ 1 x)) 2))))
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (+ (* (* -1 (log y)) -2) (* (log x) 2)) #s(hole binary64 (+ (* -2 (log (/ 1 x))) (* 2 (log y)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))))))))
#s(approx (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) #s(hole binary64 (exp (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))))))
#s(approx (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) #s(hole binary64 (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))))
#s(approx (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) #s(hole binary64 (- (* 4 (pow (log y) 2)) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))
#s(approx (pow (* (log x) 2) 2) #s(hole binary64 (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (+ (* (* -1 (log y)) -2) (* (log x) 2)) #s(hole binary64 (+ (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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))))))))
#s(approx (pow (* (log y) 2) 2) #s(hole binary64 (* 4 (pow (log y) 2))))
#s(approx (* (log y) 2) #s(hole binary64 (* 2 (log y))))
#s(approx (log y) #s(hole binary64 (log y)))
#s(approx y #s(hole binary64 y))
#s(approx (* -1 (log y)) #s(hole binary64 (* -1 (log y))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))))
#s(approx (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (/ (- (* 4 (pow (log (/ 1 y)) 2)) (* 4 (pow (log x) 2))) (+ (* -2 (log (/ 1 y))) (* 2 (log x)))))))))
#s(approx (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) #s(hole binary64 (exp (/ (- (* 4 (pow (log (/ 1 y)) 2)) (* 4 (pow (log x) 2))) (+ (* -2 (log (/ 1 y))) (* 2 (log x)))))))
#s(approx (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) #s(hole binary64 (/ (- (* 4 (pow (log (/ 1 y)) 2)) (* 4 (pow (log x) 2))) (+ (* -2 (log (/ 1 y))) (* 2 (log x))))))
#s(approx (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) #s(hole binary64 (- (* 4 (pow (log (/ 1 y)) 2)) (* 4 (pow (log x) 2)))))
#s(approx (pow (* (log y) 2) 2) #s(hole binary64 (* 4 (pow (log (/ 1 y)) 2))))
#s(approx (* (log y) 2) #s(hole binary64 (* -2 (log (/ 1 y)))))
#s(approx (log y) #s(hole binary64 (* -1 (log (/ 1 y)))))
#s(approx (+ (* (* -1 (log y)) -2) (* (log x) 2)) #s(hole binary64 (+ (* -2 (log (/ 1 y))) (* 2 (log x)))))
#s(approx (* -1 (log y)) #s(hole binary64 (log (/ 1 y))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (/ (- (* 4 (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (* 4 (pow (log x) 2))) (+ (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))))))))
#s(approx (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) #s(hole binary64 (exp (/ (- (* 4 (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (* 4 (pow (log x) 2))) (+ (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))))))
#s(approx (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) #s(hole binary64 (/ (- (* 4 (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (* 4 (pow (log x) 2))) (+ (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))))
#s(approx (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) #s(hole binary64 (- (* 4 (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (* 4 (pow (log x) 2)))))
#s(approx (pow (* (log y) 2) 2) #s(hole binary64 (* 4 (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))))
#s(approx (* (log y) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))
#s(approx (log y) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 y))))))
#s(approx (+ (* (* -1 (log y)) -2) (* (log x) 2)) #s(hole binary64 (+ (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))))
#s(approx (* -1 (log y)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
Calls

6 calls:

TimeVariablePointExpression
68.0ms
y
@inf
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (pow (* (log y) 2) 2) (* (log y) 2) (log y) y 2 (pow (* (log x) 2) 2) (* (log x) 2) (log x) x (+ (* (* -1 (log y)) -2) (* (log x) 2)) (* -1 (log y)) -1 -2 1)
38.0ms
x
@inf
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (pow (* (log y) 2) 2) (* (log y) 2) (log y) y 2 (pow (* (log x) 2) 2) (* (log x) 2) (log x) x (+ (* (* -1 (log y)) -2) (* (log x) 2)) (* -1 (log y)) -1 -2 1)
28.0ms
x
@0
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (pow (* (log y) 2) 2) (* (log y) 2) (log y) y 2 (pow (* (log x) 2) 2) (* (log x) 2) (log x) x (+ (* (* -1 (log y)) -2) (* (log x) 2)) (* -1 (log y)) -1 -2 1)
24.0ms
y
@0
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (pow (* (log y) 2) 2) (* (log y) 2) (log y) y 2 (pow (* (log x) 2) 2) (* (log x) 2) (log x) x (+ (* (* -1 (log y)) -2) (* (log x) 2)) (* -1 (log y)) -1 -2 1)
21.0ms
y
@-inf
((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (pow (* (log y) 2) 2) (* (log y) 2) (log y) y 2 (pow (* (log x) 2) 2) (* (log x) 2) (log x) x (+ (* (* -1 (log y)) -2) (* (log x) 2)) (* -1 (log y)) -1 -2 1)

rewrite233.0ms (6.7%)

Memory
14.6MiB live, 248.1MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02972349
03262045
118481859
089641824
Stop Event
iter limit
node limit
iter limit
Counts
86 → 232
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64))
(exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
y
#s(literal 2 binary64)
(pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
(fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 y))
#s(literal -1 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))
#s(approx (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (log x) 2))) (+ (* 2 (log x)) (* 2 (log y)))))))))
#s(approx (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) #s(hole binary64 (exp (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (log x) 2))) (+ (* 2 (log x)) (* 2 (log y)))))))
#s(approx (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) #s(hole binary64 (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (log x) 2))) (+ (* 2 (log x)) (* 2 (log y))))))
#s(approx (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) #s(hole binary64 (- (* 4 (pow (log y) 2)) (* 4 (pow (log x) 2)))))
#s(approx (pow (* (log x) 2) 2) #s(hole binary64 (* 4 (pow (log x) 2))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* -1 (log y)) -2) (* (log x) 2)) #s(hole binary64 (+ (* 2 (log x)) (* 2 (log y)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (log (/ 1 x)) 2))) (+ (* -2 (log (/ 1 x))) (* 2 (log y)))))))))
#s(approx (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) #s(hole binary64 (exp (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (log (/ 1 x)) 2))) (+ (* -2 (log (/ 1 x))) (* 2 (log y)))))))
#s(approx (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) #s(hole binary64 (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (log (/ 1 x)) 2))) (+ (* -2 (log (/ 1 x))) (* 2 (log y))))))
#s(approx (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) #s(hole binary64 (- (* 4 (pow (log y) 2)) (* 4 (pow (log (/ 1 x)) 2)))))
#s(approx (pow (* (log x) 2) 2) #s(hole binary64 (* 4 (pow (log (/ 1 x)) 2))))
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (+ (* (* -1 (log y)) -2) (* (log x) 2)) #s(hole binary64 (+ (* -2 (log (/ 1 x))) (* 2 (log y)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))))))))
#s(approx (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) #s(hole binary64 (exp (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))))))
#s(approx (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) #s(hole binary64 (/ (- (* 4 (pow (log y) 2)) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))))
#s(approx (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) #s(hole binary64 (- (* 4 (pow (log y) 2)) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))
#s(approx (pow (* (log x) 2) 2) #s(hole binary64 (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (+ (* (* -1 (log y)) -2) (* (log x) 2)) #s(hole binary64 (+ (* 2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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))))))))
#s(approx (pow (* (log y) 2) 2) #s(hole binary64 (* 4 (pow (log y) 2))))
#s(approx (* (log y) 2) #s(hole binary64 (* 2 (log y))))
#s(approx (log y) #s(hole binary64 (log y)))
#s(approx y #s(hole binary64 y))
#s(approx (* -1 (log y)) #s(hole binary64 (* -1 (log y))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))))
#s(approx (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (/ (- (* 4 (pow (log (/ 1 y)) 2)) (* 4 (pow (log x) 2))) (+ (* -2 (log (/ 1 y))) (* 2 (log x)))))))))
#s(approx (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) #s(hole binary64 (exp (/ (- (* 4 (pow (log (/ 1 y)) 2)) (* 4 (pow (log x) 2))) (+ (* -2 (log (/ 1 y))) (* 2 (log x)))))))
#s(approx (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) #s(hole binary64 (/ (- (* 4 (pow (log (/ 1 y)) 2)) (* 4 (pow (log x) 2))) (+ (* -2 (log (/ 1 y))) (* 2 (log x))))))
#s(approx (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) #s(hole binary64 (- (* 4 (pow (log (/ 1 y)) 2)) (* 4 (pow (log x) 2)))))
#s(approx (pow (* (log y) 2) 2) #s(hole binary64 (* 4 (pow (log (/ 1 y)) 2))))
#s(approx (* (log y) 2) #s(hole binary64 (* -2 (log (/ 1 y)))))
#s(approx (log y) #s(hole binary64 (* -1 (log (/ 1 y)))))
#s(approx (+ (* (* -1 (log y)) -2) (* (log x) 2)) #s(hole binary64 (+ (* -2 (log (/ 1 y))) (* 2 (log x)))))
#s(approx (* -1 (log y)) #s(hole binary64 (log (/ 1 y))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) #s(hole binary64 (+ 1 (* -2 (exp (/ (- (* 4 (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (* 4 (pow (log x) 2))) (+ (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))))))))
#s(approx (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) #s(hole binary64 (exp (/ (- (* 4 (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (* 4 (pow (log x) 2))) (+ (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))))))
#s(approx (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) #s(hole binary64 (/ (- (* 4 (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (* 4 (pow (log x) 2))) (+ (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))))
#s(approx (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) #s(hole binary64 (- (* 4 (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (* 4 (pow (log x) 2)))))
#s(approx (pow (* (log y) 2) 2) #s(hole binary64 (* 4 (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))))
#s(approx (* (log y) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))
#s(approx (log y) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 y))))))
#s(approx (+ (* (* -1 (log y)) -2) (* (log x) 2)) #s(hole binary64 (+ (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))))
#s(approx (* -1 (log y)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64))) (neg.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64))) (neg.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64))))))
(fma.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64))) (-.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) #s(literal -2 binary64)) #s(literal 1 binary64))))
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#s(approx (+ (* (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) -2) 1) (fma.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (exp (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2)))) (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))))))
#s(approx (/ (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (+ (* (* -1 (log y)) -2) (* (log x) 2))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))))
#s(approx (- (pow (* (log y) 2) 2) (pow (* (log x) 2) 2)) (fma.f64 (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
#s(approx (pow (* (log y) 2) 2) (*.f64 (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (* (log y) 2) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (log y) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (+ (* (* -1 (log y)) -2) (* (log x) 2)) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (* -1 (log y)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))

eval49.0ms (1.4%)

Memory
9.7MiB live, 97.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 14 560 to 1 558 computations (89.3% saved)

prune166.0ms (4.8%)

Memory
-66.6MiB live, 135.4MiB allocated; 94ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2571258
Fresh000
Picked101
Done033
Total2584262
Accuracy
99.2%
Counts
262 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(/.f64 (*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))) (+.f64 (*.f64 x x) (*.f64 y y)))
28.4%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
39.1%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 y))))) (exp.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 y)))))) #s(literal -2 binary64) #s(literal 1 binary64)))
62.1%
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
Compiler

Compiled 410 to 159 computations (61.2% saved)

regimes8.0ms (0.2%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 y))))) (exp.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 y)))))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 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))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
Calls

3 calls:

3.0ms
y
3.0ms
x
2.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
AccuracySegmentsBranch
91.9%2(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
85.2%2x
94.2%3y
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes3.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 y))))) (exp.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 y)))))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))) (+.f64 (*.f64 x x) (*.f64 y y)))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))) (+.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
94.2%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 y))))) (exp.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 y)))))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
y
2.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
AccuracySegmentsBranch
91.2%3(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
84.2%2y
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes5.0ms (0.1%)

Memory
-39.3MiB live, 5.7MiB allocated; 6ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 y))))) (exp.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 y)))))) #s(literal -2 binary64) #s(literal 1 binary64)))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
Calls

1 calls:

4.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
AccuracySegmentsBranch
91.2%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
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64)))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #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
91.2%3(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
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))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
AccuracySegmentsBranch
62.1%1y
62.1%1x
62.1%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)

bsearch41.0ms (1.2%)

Memory
-3.2MiB live, 48.5MiB allocated; 13ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
2.3932373189346156e-46
1.0848316864067816e-44
11.0ms
1.1403055780838931e-182
2.259988715207792e-181
Samples
29.0ms224×0valid
Compiler

Compiled 711 to 469 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (46.2% of total)
ival-add: 2.0ms (23.1% of total)
ival-sub: 1.0ms (11.5% of total)
ival-div: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.3932373189346156e-46
1.0848316864067816e-44
1.0ms
1.1403055780838931e-182
2.259988715207792e-181
Compiler

Compiled 837 to 539 computations (35.6% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
0.0ms
-0.9999998755497508
0.9776278399737178
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
0.0ms
-0.9999998755497508
0.9776278399737178
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
0.0ms
-0.9999998755497508
0.9776278399737178
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify46.0ms (1.3%)

Memory
5.9MiB live, 50.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
070500
1110500
2195500
3407500
4846493
53600493
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 4204745273200615/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8677465438998547/803469022129495137770981046170581301261101496891396417650688 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))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 4204745273200615/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8677465438998547/803469022129495137770981046170581301261101496891396417650688 binary64)) (/.f64 (*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))) (+.f64 (*.f64 x x) (*.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #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))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #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))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #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))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #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))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #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))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #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))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
Outputs
(if (<=.f64 y #s(literal 4204745273200615/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8677465438998547/803469022129495137770981046170581301261101496891396417650688 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))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 4204745273200615/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8677465438998547/803469022129495137770981046170581301261101496891396417650688 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))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 4204745273200615/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8677465438998547/803469022129495137770981046170581301261101496891396417650688 binary64)) (/.f64 (*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))) (+.f64 (*.f64 x x) (*.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 4204745273200615/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8677465438998547/803469022129495137770981046170581301261101496891396417650688 binary64)) (/.f64 (*.f64 (-.f64 x y) #s(approx (+ x y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) y))) (+.f64 (*.f64 x x) (*.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #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))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #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))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #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))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x 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))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #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))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #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))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #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))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x 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))) (fma.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #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))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #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))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #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))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x 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))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64))))

derivations172.0ms (5%)

Memory
-19.3MiB live, 123.7MiB allocated; 18ms collecting garbage
Stop Event
fuel
Compiler

Compiled 575 to 70 computations (87.8% saved)

preprocess112.0ms (3.2%)

Memory
22.4MiB live, 156.5MiB allocated; 19ms collecting garbage
Remove

(abs x)

Compiler

Compiled 2 284 to 698 computations (69.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...