Linear.Projection:perspective from linear-1.19.1.3, A

Time bar (total: 1.7s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze10.0ms (0.6%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample482.0ms (27.7%)

Memory
17.3MiB live, 870.9MiB allocated; 90ms collecting garbage
Samples
281.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-div!: 39.0ms (40.8% of total)
ival-add!: 34.0ms (35.6% of total)
ival-sub!: 21.0ms (22% of total)
adjust: 2.0ms (2.1% of total)
Bogosity

explain46.0ms (2.6%)

Memory
2.9MiB live, 102.3MiB allocated; 6ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(+.f64 x y)
00-0-(-.f64 x y)
00-0-(/.f64 (+.f64 x y) (-.f64 x y))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
17.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub!: 2.0ms (35.5% of total)
ival-add!: 2.0ms (35.5% of total)
ival-div!: 2.0ms (35.5% of total)
adjust: 0.0ms (0% of total)

preprocess15.0ms (0.9%)

Memory
-14.2MiB live, 32.6MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01852
14152
26950
38750
411750
515850
617650
719450
057
087
1127
2137
0137
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 y x) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB 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
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

series5.0ms (0.3%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
5 → 36
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
x
y
(-.f64 x y)
Outputs
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 -1))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -2 (/ x y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 1))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (/ y x)) (* -1 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ 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) (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* 2 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ x y)) (+ 1 (/ x y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- x (* -1 x)) y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Calls

6 calls:

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

rewrite213.0ms (12.2%)

Memory
13.5MiB live, 344.7MiB allocated; 108ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0180703
0181646
11122629
08307615
Stop Event
iter limit
node limit
iter limit
Counts
41 → 63
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
x
y
(-.f64 x y)
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 -1))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -2 (/ x y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 1))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (/ y x)) (* -1 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ 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) (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* 2 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ x y)) (+ 1 (/ x y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- x (* -1 x)) y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y)))) (-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y)) (-.f64 (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y))) (*.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (fma.f64 x (-.f64 x y) (*.f64 (-.f64 x y) y)) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 y x)) (neg.f64 (-.f64 x y)))
(/.f64 (+.f64 y x) (-.f64 x y))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(+.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 y y (*.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (fma.f64 y y (*.f64 (neg.f64 x) y))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 y y (*.f64 (neg.f64 x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (fma.f64 y y (*.f64 (neg.f64 x) y)))))
(+.f64 y x)
(+.f64 x y)
x
y
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 y y (*.f64 x y)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 y y (*.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (fma.f64 y y (*.f64 x y)))))
(-.f64 x y)
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -2 binary64)))) x) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (+.f64 (-.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x) (/.f64 y x)) #s(literal -1 binary64)) (/.f64 y x)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x) (/.f64 y x)))))
#s(approx (+ x y) x)
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x))
#s(approx (- x y) x)
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64) (neg.f64 (-.f64 y (neg.f64 y)))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 y (neg.f64 y)) y (*.f64 (*.f64 y y) (*.f64 (/.f64 y x) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (neg.f64 (-.f64 y (neg.f64 y)))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (- x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64)))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)))
#s(approx y y)
#s(approx (- x y) (fma.f64 #s(literal -1 binary64) y x))
#s(approx (/ (+ x y) (- x y)) (-.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 x y)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 x) x) y) (/.f64 x y) (/.f64 (neg.f64 x) y)) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
#s(approx (/ (+ x y) (- x y)) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 x) x) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (-.f64 (neg.f64 x) x) x) y) (/.f64 x y)) #s(literal -1 binary64))))
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (-.f64 x (neg.f64 x)) y) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (-.f64 (fma.f64 x (/.f64 (-.f64 x (neg.f64 x)) y) x) (neg.f64 x)) y) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x (neg.f64 x)) y))) (*.f64 (-.f64 x (neg.f64 x)) x)) y) #s(literal -1 binary64) x) (neg.f64 x)) y) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (- x y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))

eval17.0ms (1%)

Memory
-8.2MiB live, 33.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 1 170 to 255 computations (78.2% saved)

prune15.0ms (0.9%)

Memory
-24.1MiB live, 19.5MiB allocated; 10ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New59766
Fresh000
Picked011
Done000
Total59867
Accuracy
100.0%
Counts
67 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
45.8%
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
89.0%
(/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)) (-.f64 x y))
46.3%
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
100.0%
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
46.1%
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
55.0%
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
45.1%
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Compiler

Compiled 161 to 111 computations (31.1% saved)

series9.0ms (0.5%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Counts
16 → 92
Calls
Call 1
Inputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 y (-.f64 x y))
y
(-.f64 x y)
x
(/.f64 x (-.f64 x y))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
#s(approx (+ x y) y)
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
(+.f64 x y)
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
Outputs
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 -1))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (* -2 (/ x y)) 1)))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)))
#s(approx (/ y (- x y)) #s(hole binary64 -1))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* -1 (/ x y)) 1)))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)))
#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 (- x y)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (/ x (- x y)) #s(hole binary64 (* x (- (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (/ x (- x y)) #s(hole binary64 (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ x (- x y)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 -1))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -2 (/ x y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 1))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (+ 1 (/ y x)) (* -1 (/ y x)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ y x))) (* -1 (/ y x)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) (+ (* -2 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))))
#s(approx (/ y (- x y)) #s(hole binary64 (/ y x)))
#s(approx (/ y (- x y)) #s(hole binary64 (/ (+ y (/ (pow y 2) x)) x)))
#s(approx (/ y (- x y)) #s(hole binary64 (/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)))
#s(approx (/ y (- x y)) #s(hole binary64 (/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (/ x (- x y)) #s(hole binary64 1))
#s(approx (/ x (- x y)) #s(hole binary64 (+ 1 (/ y x))))
#s(approx (/ x (- x y)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))))
#s(approx (/ x (- x y)) #s(hole binary64 (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 1))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (/ y x)) (* -1 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 y) y) x)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x)))))
#s(approx (/ y (- x y)) #s(hole binary64 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))))
#s(approx (/ y (- x y)) #s(hole binary64 (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))))
#s(approx (/ y (- x y)) #s(hole binary64 (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ x (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))))
#s(approx (/ x (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (+ 1 (* 2 (/ y x)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))))
#s(approx (/ y (- x y)) #s(hole binary64 (* y (+ (/ 1 x) (/ y (pow x 2))))))
#s(approx (/ y (- x y)) #s(hole binary64 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))))
#s(approx (/ y (- x y)) #s(hole binary64 (* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ x (- x y)) #s(hole binary64 (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))))
#s(approx (/ x (- x y)) #s(hole binary64 (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* 2 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (* -1 (/ x y)) (+ 1 (/ x y)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y))))))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ x (- x y)) #s(hole binary64 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)))
#s(approx (/ x (- x y)) #s(hole binary64 (/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)))
#s(approx (/ x (- x y)) #s(hole binary64 (/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ x y)) (+ 1 (/ x y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1)))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1)))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (/ x (- x y)) #s(hole binary64 (* -1 (/ (+ x (/ (pow x 2) y)) y))))
#s(approx (/ x (- x y)) #s(hole binary64 (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))))
#s(approx (/ x (- x y)) #s(hole binary64 (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- x (* -1 x)) y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

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

rewrite263.0ms (15.1%)

Memory
15.7MiB live, 204.0MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04562204
04671946
130481925
090421889
Stop Event
iter limit
node limit
iter limit
Counts
108 → 134
Calls
Call 1
Inputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 y (-.f64 x y))
y
(-.f64 x y)
x
(/.f64 x (-.f64 x y))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
#s(approx (+ x y) y)
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
(+.f64 x y)
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 -1))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (* -2 (/ x y)) 1)))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)))
#s(approx (/ y (- x y)) #s(hole binary64 -1))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* -1 (/ x y)) 1)))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)))
#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 (- x y)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (/ x (- x y)) #s(hole binary64 (* x (- (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (/ x (- x y)) #s(hole binary64 (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ x (- x y)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 -1))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -2 (/ x y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 1))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (+ 1 (/ y x)) (* -1 (/ y x)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ y x))) (* -1 (/ y x)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) (+ (* -2 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))))
#s(approx (/ y (- x y)) #s(hole binary64 (/ y x)))
#s(approx (/ y (- x y)) #s(hole binary64 (/ (+ y (/ (pow y 2) x)) x)))
#s(approx (/ y (- x y)) #s(hole binary64 (/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)))
#s(approx (/ y (- x y)) #s(hole binary64 (/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (/ x (- x y)) #s(hole binary64 1))
#s(approx (/ x (- x y)) #s(hole binary64 (+ 1 (/ y x))))
#s(approx (/ x (- x y)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))))
#s(approx (/ x (- x y)) #s(hole binary64 (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 1))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (/ y x)) (* -1 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 y) y) x)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x)))))
#s(approx (/ y (- x y)) #s(hole binary64 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))))
#s(approx (/ y (- x y)) #s(hole binary64 (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))))
#s(approx (/ y (- x y)) #s(hole binary64 (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ x (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))))
#s(approx (/ x (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (+ 1 (* 2 (/ y x)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))))
#s(approx (/ y (- x y)) #s(hole binary64 (* y (+ (/ 1 x) (/ y (pow x 2))))))
#s(approx (/ y (- x y)) #s(hole binary64 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))))
#s(approx (/ y (- x y)) #s(hole binary64 (* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ x (- x y)) #s(hole binary64 (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))))
#s(approx (/ x (- x y)) #s(hole binary64 (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* 2 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (* -1 (/ x y)) (+ 1 (/ x y)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y))))))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ x (- x y)) #s(hole binary64 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)))
#s(approx (/ x (- x y)) #s(hole binary64 (/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)))
#s(approx (/ x (- x y)) #s(hole binary64 (/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ x y)) (+ 1 (/ x y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1)))
#s(approx (+ (/ y (- x y)) (/ x (- x y))) #s(hole binary64 (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1)))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)))
#s(approx (/ y (- x y)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (/ x (- x y)) #s(hole binary64 (* -1 (/ (+ x (/ (pow x 2) y)) y))))
#s(approx (/ x (- x y)) #s(hole binary64 (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))))
#s(approx (/ x (- x y)) #s(hole binary64 (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- x (* -1 x)) y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (-.f64 x y)) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) (-.f64 x y) (*.f64 (neg.f64 (-.f64 x y)) y)) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 x y)))
(/.f64 (fma.f64 x (neg.f64 (-.f64 x y)) (*.f64 (-.f64 x y) (neg.f64 y))) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (fma.f64 x (-.f64 x y) (*.f64 (-.f64 x y) y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 (-.f64 x y)) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 x))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 y) (-.f64 x y) (*.f64 (neg.f64 (-.f64 x y)) x)) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 x y)))
(/.f64 (fma.f64 y (neg.f64 (-.f64 x y)) (*.f64 (-.f64 x y) (neg.f64 x))) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (fma.f64 y (-.f64 x y) (*.f64 (-.f64 x y) x)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y)))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 (neg.f64 y) (neg.f64 (-.f64 x y)))
(/.f64 y (-.f64 x y))
y
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(-.f64 x y)
x
(/.f64 (neg.f64 x) (neg.f64 (-.f64 x y)))
(/.f64 x (-.f64 x y))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 #s(approx (+ x y) y)) (neg.f64 (-.f64 x y)))
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
#s(approx (+ x y) y)
(/.f64 (fma.f64 x #s(approx (- x y) (neg.f64 y)) (*.f64 #s(approx (- x y) (neg.f64 y)) y)) (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 #s(approx (- x y) (neg.f64 y))))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
(+.f64 (/.f64 x #s(approx (- x y) (neg.f64 y))) (/.f64 y #s(approx (- x y) (neg.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))
(+.f64 x y)
(+.f64 y x)
#s(approx (- x y) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -2 binary64)))) x) (/.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)))
#s(approx (/ y (- x y)) #s(literal -1 binary64))
#s(approx (/ y (- x y)) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
#s(approx (/ y (- x y)) (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 1 binary64)))
#s(approx (/ y (- x y)) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64))) x) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 1 binary64)))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx x x)
#s(approx (/ x (- x y)) (/.f64 (neg.f64 x) y))
#s(approx (/ x (- x y)) (*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (pow.f64 y #s(literal -1 binary64))) x))
#s(approx (/ x (- x y)) (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64))) x) (pow.f64 y #s(literal -1 binary64))) x))
#s(approx (/ x (- x y)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))) x) (pow.f64 y #s(literal -2 binary64))) x) (pow.f64 y #s(literal -1 binary64))) x))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -2 binary64)))) x) (/.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (- x y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (neg.f64 y)) x)))
#s(approx (/ (+ x y) (- x y)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64) (/.f64 y x)) (/.f64 (neg.f64 y) x))))
#s(approx (/ (+ x y) (- x y)) (-.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) (/.f64 (neg.f64 y) x))))
#s(approx (/ y (- x y)) (/.f64 y x))
#s(approx (/ y (- x y)) (/.f64 (+.f64 (/.f64 (*.f64 y y) x) y) x))
#s(approx (/ y (- x y)) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x x)) y) (neg.f64 (/.f64 (*.f64 y y) x))) x))
#s(approx (/ y (- x y)) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x)))) 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 (- x y)) #s(literal 1 binary64))
#s(approx (/ x (- x y)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ x (- x y)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) x)))
#s(approx (/ x (- x y)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64) (/.f64 (neg.f64 y) x))))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (- x y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (neg.f64 y)) x)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (+.f64 (fma.f64 y (/.f64 (-.f64 y (neg.f64 y)) (*.f64 x x)) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) x)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (+.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 y (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y x)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 (-.f64 y (neg.f64 y)) (*.f64 x x)) (/.f64 y x)))))
#s(approx (+ x y) x)
#s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (-.f64 (neg.f64 y) y) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal 1 binary64) (*.f64 y y))) x) #s(literal -1 binary64) (neg.f64 y)) y) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 y y (neg.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x))) (neg.f64 (*.f64 y y))) x) #s(literal -1 binary64) (neg.f64 y)) y) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ y (- x y)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 y y) x) y)) x)))
#s(approx (/ y (- x y)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) #s(literal -1 binary64) (neg.f64 y)) x)))
#s(approx (/ y (- x y)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y y (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) x))) x) #s(literal -1 binary64) (neg.f64 y)) x)))
#s(approx (- x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (/ x (- x y)) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 y y) x)) y) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ x (- x y)) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (neg.f64 (*.f64 y y))) x)) y) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 y (neg.f64 y)) y) x) #s(literal -1 binary64) (neg.f64 (-.f64 y (neg.f64 y)))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 y (neg.f64 y)) y (*.f64 (*.f64 y y) (/.f64 (-.f64 y (neg.f64 y)) x))) x) #s(literal -1 binary64) (neg.f64 (-.f64 y (neg.f64 y)))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64))))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)))
#s(approx (/ y (- x y)) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (*.f64 x x))) y))
#s(approx (/ y (- x y)) (*.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (pow.f64 x #s(literal -1 binary64))) y))
#s(approx (/ y (- x y)) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -3 binary64))) y (pow.f64 x #s(literal -2 binary64))) y (pow.f64 x #s(literal -1 binary64))) y))
#s(approx y y)
#s(approx (- x y) (fma.f64 #s(literal -1 binary64) y x))
#s(approx (/ x (- x y)) (fma.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (*.f64 x x))) y #s(literal 1 binary64)))
#s(approx (/ x (- x y)) (fma.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (pow.f64 x #s(literal -1 binary64))) y #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64))))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)))
#s(approx (neg y) (neg.f64 y))
#s(approx (/ (+ x y) (- x y)) (-.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (/.f64 x y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -2 binary64) (-.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (/.f64 x y))))
#s(approx (/ (+ x y) (- x y)) (-.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64) (/.f64 (neg.f64 x) y)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64) (/.f64 x y))))
#s(approx (/ y (- x y)) (-.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (/ y (- x y)) (-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (/ x (- x y)) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) y)))
#s(approx (/ x (- x y)) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1 binary64) (neg.f64 x)) (/.f64 (*.f64 x x) y)) y))
#s(approx (/ x (- x y)) (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 3 binary64))))) (pow.f64 y #s(literal 3 binary64)))) y))
#s(approx (/ (+ x y) (- x y)) (-.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (/.f64 x y)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (fma.f64 x (/.f64 (-.f64 (neg.f64 x) x) (*.f64 y y)) (/.f64 (neg.f64 x) y)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- x y)) (-.f64 (fma.f64 (*.f64 x x) (/.f64 (-.f64 (neg.f64 x) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (+.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 x) x) x) (*.f64 y y)) #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
#s(approx (+ x y) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x y) (- x y)) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 x x)) y))) y)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) y) #s(literal -1 binary64) (-.f64 (neg.f64 (*.f64 x x)) (*.f64 x x))) y))) y)) #s(literal 1 binary64)))
#s(approx (/ y (- x y)) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) y) (neg.f64 x)) y)) #s(literal 1 binary64)))
#s(approx (/ y (- x y)) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) (*.f64 x x)) y) x)) y)) #s(literal 1 binary64)))
#s(approx (- x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (/ x (- x y)) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) y)))
#s(approx (/ x (- x y)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) (*.f64 x x)) y) #s(literal -1 binary64) x) y)))
#s(approx (/ x (- x y)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) y)) (*.f64 x x)) y) #s(literal -1 binary64) x) y)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (neg.f64 (/.f64 (-.f64 x (neg.f64 x)) y)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 x (/.f64 (-.f64 x (neg.f64 x)) y) x) (neg.f64 x)) y)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x (neg.f64 x)) y))) (*.f64 (-.f64 x (neg.f64 x)) x)) y) #s(literal -1 binary64) x) (neg.f64 x)) y)) #s(literal 1 binary64)))
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))

eval29.0ms (1.7%)

Memory
-20.5MiB live, 25.3MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 085 to 588 computations (80.9% saved)

prune5.0ms (0.3%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1590159
Fresh022
Picked055
Done011
Total1598167
Accuracy
100.0%
Counts
167 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
45.8%
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
89.0%
(/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)) (-.f64 x y))
46.3%
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
100.0%
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
46.1%
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
55.0%
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
45.1%
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Compiler

Compiled 84 to 58 computations (31% saved)

series9.0ms (0.5%)

Memory
9.7MiB live, 9.8MiB allocated; 0ms collecting garbage
Counts
13 → 56
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(/.f64 x y)
x
y
#s(literal -2 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)) (-.f64 x y))
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 y x)
(-.f64 x y)
Outputs
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 -1))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -2 (/ x y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)))
#s(approx (+ (* (/ x y) -2) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ x y) -2) -1) #s(hole binary64 (- (* -2 (/ x y)) 1)))
#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 (* (- (/ y x) -1) x) #s(hole binary64 y))
#s(approx (* (- (/ y x) -1) x) #s(hole binary64 (+ x y)))
#s(approx (- (/ y x) -1) #s(hole binary64 (/ y x)))
#s(approx (- (/ y x) -1) #s(hole binary64 (/ (+ x y) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 1))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (/ y x)) (* -1 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))))
#s(approx (+ (* (/ x y) -2) -1) #s(hole binary64 (* -2 (/ x y))))
#s(approx (+ (* (/ x y) -2) -1) #s(hole binary64 (* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (- (/ y x) -1) x) #s(hole binary64 x))
#s(approx (* (- (/ y x) -1) x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (- (/ y x) -1) #s(hole binary64 1))
#s(approx (- (/ y x) -1) #s(hole binary64 (+ 1 (/ 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) (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))))
#s(approx (+ (* (/ x y) -2) -1) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (- (/ y x) -1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* 2 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))))
#s(approx (+ (* (/ x y) -2) -1) #s(hole binary64 (/ (+ (* -2 x) (* -1 y)) y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ x y)) (+ 1 (/ x y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (- (/ y x) -1) x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (- (/ y x) -1) #s(hole binary64 (* y (+ (/ 1 x) (/ 1 y)))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- x (* -1 x)) y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (- (/ y x) -1) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Calls

6 calls:

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

rewrite196.0ms (11.3%)

Memory
-32.1MiB live, 162.3MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02221013
0231942
11280931
08280914
Stop Event
iter limit
node limit
iter limit
Counts
69 → 115
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(/.f64 x y)
x
y
#s(literal -2 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)) (-.f64 x y))
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 y x)
(-.f64 x y)
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 -1))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -2 (/ x y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)))
#s(approx (+ (* (/ x y) -2) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ x y) -2) -1) #s(hole binary64 (- (* -2 (/ x y)) 1)))
#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 (* (- (/ y x) -1) x) #s(hole binary64 y))
#s(approx (* (- (/ y x) -1) x) #s(hole binary64 (+ x y)))
#s(approx (- (/ y x) -1) #s(hole binary64 (/ y x)))
#s(approx (- (/ y x) -1) #s(hole binary64 (/ (+ x y) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 1))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (/ y x)) (* -1 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))))
#s(approx (+ (* (/ x y) -2) -1) #s(hole binary64 (* -2 (/ x y))))
#s(approx (+ (* (/ x y) -2) -1) #s(hole binary64 (* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (- (/ y x) -1) x) #s(hole binary64 x))
#s(approx (* (- (/ y x) -1) x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (- (/ y x) -1) #s(hole binary64 1))
#s(approx (- (/ y x) -1) #s(hole binary64 (+ 1 (/ 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) (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))))
#s(approx (+ (* (/ x y) -2) -1) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (- (/ y x) -1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* 2 (/ y x)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))))
#s(approx (+ (* (/ x y) -2) -1) #s(hole binary64 (/ (+ (* -2 x) (* -1 y)) y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ x y)) (+ 1 (/ x y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (- (/ y x) -1) x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (- (/ y x) -1) #s(hole binary64 (* y (+ (/ 1 x) (/ 1 y)))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- x (* -1 x)) y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)))
#s(approx (/ (+ x y) (- x y)) #s(hole binary64 (- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (- (/ y x) -1) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Outputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(+.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) #s(literal -2 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 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.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 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal -2 binary64)
#s(literal -1 binary64)
(/.f64 (neg.f64 (neg.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x))) (neg.f64 (-.f64 x y)))
(/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)) (-.f64 x y))
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 y y (*.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (+.f64 y x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 y y (*.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (fma.f64 y y (*.f64 x y)))))
(-.f64 x y)
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -2 binary64)))) x) (/.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)))
#s(approx (+ (* (/ x y) -2) -1) #s(literal -1 binary64))
#s(approx (+ (* (/ x y) -2) -1) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx (* (- (/ y x) -1) x) y)
#s(approx (* (- (/ y x) -1) x) (+.f64 y x))
#s(approx (- (/ y x) -1) (/.f64 y x))
#s(approx (- (/ y x) -1) (/.f64 (+.f64 y x) x))
#s(approx (/ y x) (/.f64 y x))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (- x y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (neg.f64 y)) x)))
#s(approx (/ (+ x y) (- x y)) (+.f64 (+.f64 (fma.f64 (/.f64 (-.f64 y (neg.f64 y)) x) (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 y x)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 y (neg.f64 y)) x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 y (neg.f64 y)) x) (/.f64 y x) (/.f64 y x)))))
#s(approx (+ (* (/ x y) -2) -1) (*.f64 (/.f64 x y) #s(literal -2 binary64)))
#s(approx (+ (* (/ x y) -2) -1) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64))))
#s(approx (+ x y) x)
#s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (* (- (/ y x) -1) x) x)
#s(approx (* (- (/ y x) -1) x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (- (/ y x) -1) #s(literal 1 binary64))
#s(approx (- (/ y x) -1) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
#s(approx (- x y) x)
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 y (neg.f64 y)) y) x) #s(literal -1 binary64) (neg.f64 (-.f64 y (neg.f64 y)))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 y (neg.f64 y)) y (*.f64 (*.f64 y y) (/.f64 (-.f64 y (neg.f64 y)) x))) x) #s(literal -1 binary64) (neg.f64 (-.f64 y (neg.f64 y)))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (/ x y) -2) -1) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64))))
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx (* (- (/ y x) -1) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx (- x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64)))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)))
#s(approx (+ (* (/ x y) -2) -1) (/.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y))
#s(approx y y)
#s(approx (- x y) (fma.f64 #s(literal -1 binary64) y x))
#s(approx (/ (+ x y) (- x y)) (-.f64 (/.f64 (neg.f64 x) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (/ (+ x y) (- x y)) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 x) x) y) (/.f64 x y) (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (/ (+ x y) (- x y)) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 x) x) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y)) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (-.f64 (neg.f64 x) x) x) y) (/.f64 x y)) #s(literal 1 binary64))))
#s(approx (+ x y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
#s(approx (* (- (/ y x) -1) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
#s(approx (- (/ y x) -1) (fma.f64 (pow.f64 x #s(literal -1 binary64)) y #s(literal 1 binary64)))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x y) (- x y)) (-.f64 (neg.f64 (/.f64 (-.f64 x (neg.f64 x)) y)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 x (/.f64 (-.f64 x (neg.f64 x)) y) x) (neg.f64 x)) y)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x (neg.f64 x)) y))) (*.f64 (-.f64 x (neg.f64 x)) x)) y) #s(literal -1 binary64) x) (neg.f64 x)) y)) #s(literal 1 binary64)))
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))
#s(approx (* (- (/ y x) -1) x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))
#s(approx (- x y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))

eval13.0ms (0.7%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 597 to 485 computations (81.3% saved)

prune6.0ms (0.4%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1250125
Fresh000
Picked022
Done066
Total1258133
Accuracy
100.0%
Counts
133 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
45.8%
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
89.0%
(/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)) (-.f64 x y))
46.3%
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
100.0%
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
46.1%
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
55.0%
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
45.1%
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Compiler

Compiled 168 to 87 computations (48.2% saved)

regimes8.0ms (0.5%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)) (-.f64 x y))
Outputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
Calls

3 calls:

3.0ms
y
3.0ms
x
2.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (+.f64 x y) (-.f64 x y))
100.0%1x
100.0%1y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes55.0ms (3.2%)

Memory
-37.0MiB live, 15.2MiB allocated; 40ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
Calls

3 calls:

51.0ms
y
2.0ms
x
2.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (+.f64 x y) (-.f64 x y))
100.0%1x
100.0%1y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes6.0ms (0.3%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
Outputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
Calls

3 calls:

2.0ms
y
2.0ms
x
1.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
98.9%2(/.f64 (+.f64 x y) (-.f64 x y))
77.2%3x
81.6%3y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
Outputs
(/.f64 #s(approx (+ x y) y) (-.f64 x y))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
98.5%2(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes1.0ms (0.1%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
Outputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
98.5%2(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB 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)) #s(literal -1 binary64))
Outputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
45.1%1x
45.1%1y
45.1%1(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.7374586853666674
1.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.7374586853666674
1.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch12.0ms (0.7%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-0.7374586853666674
1.0
Samples
4.0ms240×0valid
Compiler

Compiled 280 to 250 computations (10.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0% of total)

simplify66.0ms (3.8%)

Memory
-35.5MiB live, 59.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028116
136116
243116
352116
475116
5248116
62308116
75372116
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (+ x y) y) (-.f64 x y)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Outputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (+ x y) y) (-.f64 x y)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

derivations175.0ms (10%)

Memory
24.8MiB live, 122.5MiB allocated; 7ms collecting garbage
Stop Event
done
Compiler

Compiled 116 to 28 computations (75.9% saved)

preprocess79.0ms (4.5%)

Memory
3.8MiB live, 49.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 246 to 66 computations (73.2% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...