Metrics for Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample723.0ms (30.8%)

Memory

48.3MiB live, 885.8MiB allocated; 175ms collecting garbage

Samples

490.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-sub!: 125.0ms (51.4% of total)

ival-mult!: 101.0ms (41.5% of total)

ival-add!: 17.0ms (7% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess60.0ms (2.5%)

Memory

-39.0MiB live, 15.2MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	86	66
2	257	66
3	787	54
4	2338	54
5	5848	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Compiler

Compiled 20 to 20 computations (0% saved)

series8.0ms (0.3%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

10 → 36

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1/2 y)))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (- (* x (- y 1)) (* 1/2 y))))
#s(approx (* x (- y 1)) #s(hole binary64 (* x (- y 1))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* x (- y 1))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* x (- (+ y (* -1/2 (/ y x))) 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 x)))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (+ (* -1 x) (* y (- x 1/2)))))
#s(approx (* x (- y 1)) #s(hole binary64 (* -1 x)))
#s(approx (* x (- y 1)) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx y #s(hole binary64 y))
#s(approx (* y 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* y (- x 1/2))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* y (- (+ x (* -1 (/ x y))) 1/2))))
#s(approx (* x (- y 1)) #s(hole binary64 (* x y)))
#s(approx (* x (- y 1)) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))))
#s(approx (* x (- y 1)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* x (- y 1)) x (- y 1) y 1 (* y 1/2) 1/2 918938533204673/1000000000000000)
1.0ms	y	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* x (- y 1)) x (- y 1) y 1 (* y 1/2) 1/2 918938533204673/1000000000000000)
1.0ms	x	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* x (- y 1)) x (- y 1) y 1 (* y 1/2) 1/2 918938533204673/1000000000000000)
1.0ms	x	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* x (- y 1)) x (- y 1) y 1 (* y 1/2) 1/2 918938533204673/1000000000000000)
1.0ms	x	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* x (- y 1)) x (- y 1) y 1 (* y 1/2) 1/2 918938533204673/1000000000000000)

rewrite249.0ms (10.6%)

Memory

20.2MiB live, 295.9MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	622
0	127	576
1	686	563
2	6591	563
0	8866	518

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

46 → 138

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1/2 y)))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (- (* x (- y 1)) (* 1/2 y))))
#s(approx (* x (- y 1)) #s(hole binary64 (* x (- y 1))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* x (- y 1))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* x (- (+ y (* -1/2 (/ y x))) 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 x)))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (+ (* -1 x) (* y (- x 1/2)))))
#s(approx (* x (- y 1)) #s(hole binary64 (* -1 x)))
#s(approx (* x (- y 1)) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx y #s(hole binary64 y))
#s(approx (* y 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* y (- x 1/2))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* y (- (+ x (* -1 (/ x y))) 1/2))))
#s(approx (* x (- y 1)) #s(hole binary64 (* x y)))
#s(approx (* x (- y 1)) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))))
#s(approx (* x (- y 1)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))

Outputs
(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) (.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 (*.f64 y y) #s(literal 1/4 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64))) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)))))
(neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))))))
(-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 #s(literal -1/2 binary64) y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 y y) #s(literal 1/4 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)))))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(fma.f64 x (-.f64 y #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (*.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))))))
(-.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (-.f64 y #s(literal 1 binary64)) x))
(+.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 #s(literal -1/2 binary64) y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 x x)) (-.f64 (*.f64 y x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 x)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) (neg.f64 x)))) (fma.f64 x x (fma.f64 (.f64 (.f64 y x) y) x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 x (-.f64 #s(literal -1 binary64) y)))) (neg.f64 (.f64 x (-.f64 #s(literal -1 binary64) y))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 (.f64 x x) (neg.f64 x)))) (neg.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (neg.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y y) y #s(literal -1 binary64)) x) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 x (-.f64 #s(literal -1 binary64) y)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 (.f64 x x) (neg.f64 x))) (fma.f64 (.f64 (.f64 y x) y) x (-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) y))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 (.f64 x x) (neg.f64 x))) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (neg.f64 x)) (*.f64 x x)))
(neg.f64 (-.f64 (*.f64 (neg.f64 y) x) (neg.f64 x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 #s(literal -1 binary64) x (neg.f64 (*.f64 (neg.f64 y) x)))
(fma.f64 #s(literal -1 binary64) x (*.f64 y x))
(fma.f64 y x (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 y) x)))
(fma.f64 x #s(literal -1 binary64) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(-.f64 (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1 binary64) y))) (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 x (-.f64 #s(literal -1 binary64) y))))
(-.f64 (.f64 y x) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 (*.f64 y x) x)
(-.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))
(+.f64 (/.f64 (.f64 (.f64 x x) (neg.f64 x)) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (neg.f64 x)) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (neg.f64 x)) (*.f64 x x))))
(+.f64 (*.f64 y x) (neg.f64 x))
(+.f64 (neg.f64 x) (neg.f64 (*.f64 (neg.f64 y) x)))
(+.f64 (neg.f64 x) (*.f64 y x))
x
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(-.f64 y #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) y)
(+.f64 y #s(literal -1 binary64))
y
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) y))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
#s(approx (* x (- y 1)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 1 binary64)) y) x))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (-.f64 y #s(literal 1 binary64))) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) x) (-.f64 y #s(literal 1 binary64)))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (-.f64 y #s(literal 1 binary64))) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
#s(approx (- (* x (- y 1)) (* y 1/2)) (neg.f64 x))
#s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) x))
#s(approx (* x (- y 1)) (neg.f64 x))
#s(approx (* x (- y 1)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (- y 1) #s(literal -1 binary64))
#s(approx (- y 1) (-.f64 y #s(literal 1 binary64)))
#s(approx y y)
#s(approx (* y 1/2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 (-.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) y))
#s(approx (* x (- y 1)) (*.f64 y x))
#s(approx (* x (- y 1)) (*.f64 (-.f64 x (/.f64 x y)) y))
#s(approx (- y 1) y)
#s(approx (- y 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 (-.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) y))
#s(approx (* x (- y 1)) (*.f64 (-.f64 x (/.f64 x y)) y))
#s(approx (- y 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))

eval12.0ms (0.5%)

Memory: 24.6MiB live, 24.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 143 to 460 computations (59.8% saved)

prune30.0ms (1.3%)

Memory

-36.6MiB live, 10.5MiB allocated; 1ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	119	4	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	4	124

Accuracy

100.0%

Counts

124 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	49.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	51.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
▶	51.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Compiler

Compiled 55 to 55 computations (0% saved)

series7.0ms (0.3%)

Memory

18.4MiB live, 18.5MiB allocated; 0ms collecting garbage

Counts

16 → 45

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
#s(literal -1/2 binary64)

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1/2 y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (+ (* -1/2 y) (* x y))))
#s(approx (- x 1/2) #s(hole binary64 -1/2))
#s(approx (- x 1/2) #s(hole binary64 (- x 1/2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- y 1) x) #s(hole binary64 (* x (- y 1))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 918938533204673/1000000000000000))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x (+ y (* -1/2 (/ y x))))))
#s(approx (- x 1/2) #s(hole binary64 x))
#s(approx (- x 1/2) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 x)))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))))
#s(approx (- x 1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* y (- x 1/2))))
#s(approx y #s(hole binary64 y))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- y 1) x) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 918938533204673/1000000000000000))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (* (- y 1) x) #s(hole binary64 (* x y)))
#s(approx (* (- y 1) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) x 1/2 y (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) 1 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) -1/2)
1.0ms	y	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) x 1/2 y (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) 1 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) -1/2)
1.0ms	x	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) x 1/2 y (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) 1 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) -1/2)
1.0ms	y	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) x 1/2 y (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) 1 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) -1/2)
1.0ms	y	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) x 1/2 y (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) 1 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) -1/2)

rewrite292.0ms (12.4%)

Memory

-26.9MiB live, 261.8MiB allocated; 148ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	694
0	158	628
1	817	605
2	7339	605
0	8523	586

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

61 → 226

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
#s(literal -1/2 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1/2 y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (+ (* -1/2 y) (* x y))))
#s(approx (- x 1/2) #s(hole binary64 -1/2))
#s(approx (- x 1/2) #s(hole binary64 (- x 1/2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- y 1) x) #s(hole binary64 (* x (- y 1))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 918938533204673/1000000000000000))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x (+ y (* -1/2 (/ y x))))))
#s(approx (- x 1/2) #s(hole binary64 x))
#s(approx (- x 1/2) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 x)))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))))
#s(approx (- x 1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* y (- x 1/2))))
#s(approx y #s(hole binary64 y))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- y 1) x) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 918938533204673/1000000000000000))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (* (- y 1) x) #s(hole binary64 (* x y)))
#s(approx (* (- y 1) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) y)
(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) x) (neg.f64 y))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) x) y))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(.f64 y (.f64 (-.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(.f64 y (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (-.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal -1/8 binary64)) y) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 y (fma.f64 (.f64 x x) x #s(literal -1/8 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))
(/.f64 (.f64 (neg.f64 y) (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (neg.f64 y) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1/8 binary64))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (.f64 y y) #s(literal 1/4 binary64))) (-.f64 (.f64 y x) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (.f64 y (-.f64 #s(literal -1/2 binary64) x))) (.f64 y (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (.f64 y (-.f64 #s(literal -1/2 binary64) x)))) (neg.f64 (.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 y y) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 y x) y) x (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) y))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 y y) #s(literal 1/4 binary64))))
(neg.f64 (-.f64 (.f64 (neg.f64 y) x) (.f64 #s(literal -1/2 binary64) y)))
(neg.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) x) y)))
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) x)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 y) x)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 y x))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) y) (neg.f64 (.f64 (neg.f64 y) x)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) y) (.f64 y x))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64) (.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64) (neg.f64 (.f64 (neg.f64 y) x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64) (.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64) (.f64 y x))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) x)))
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 (*.f64 (neg.f64 y) x)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) x)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (neg.f64 (*.f64 (neg.f64 y) x)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 y x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 y #s(literal -1/2 binary64) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) x)))
(fma.f64 y #s(literal -1/2 binary64) (neg.f64 (*.f64 (neg.f64 y) x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 x y (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 y (-.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 (.f64 (.f64 y x) y) x) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
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(-.f64 y #s(literal 1 binary64))
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#s(literal 1 binary64)
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(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
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(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
#s(literal -1/2 binary64)
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#s(approx x x)
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#s(approx (* (- x 1/2) y) (*.f64 y x))
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#s(approx (- x 1/2) x)
#s(approx (- x 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
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#s(approx (* (- x 1/2) y) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) y) x))
#s(approx (- x 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
#s(approx (* (- x 1/2) y) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx y y)
#s(approx (* (- y 1) x) (neg.f64 x))
#s(approx (* (- y 1) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (- y 1) #s(literal -1 binary64))
#s(approx (- y 1) (-.f64 y #s(literal 1 binary64)))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y))
#s(approx (* (- y 1) x) (*.f64 y x))
#s(approx (* (- y 1) x) (*.f64 (-.f64 x (/.f64 x y)) y))
#s(approx (- y 1) y)
#s(approx (- y 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y))
#s(approx (* (- y 1) x) (*.f64 (-.f64 x (/.f64 x y)) y))
#s(approx (- y 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) y))

eval19.0ms (0.8%)

Memory: 3.2MiB live, 50.2MiB allocated; 1ms collecting garbage
Compiler: Compiled 1 340 to 672 computations (49.9% saved)

prune8.0ms (0.4%)

Memory

-27.6MiB live, 18.6MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	196	4	200
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	196	8	204

Accuracy

100.0%

Counts

204 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	49.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	51.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	51.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
▶	27.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
▶	27.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
▶	25.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
▶	26.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Compiler

Compiled 112 to 111 computations (0.9% saved)

series6.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

15 → 41

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
(*.f64 #s(approx (- y 1) y) x)
#s(approx (- y 1) y)

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 918938533204673/1000000000000000))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1/2 y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (+ (* -1/2 y) (* x y))))
#s(approx (- x 1/2) #s(hole binary64 -1/2))
#s(approx (- x 1/2) #s(hole binary64 (- x 1/2)))
#s(approx (* (- y 1) x) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 x)))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x (+ y (* -1/2 (/ y x))))))
#s(approx (- x 1/2) #s(hole binary64 x))
#s(approx (- x 1/2) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))))
#s(approx (- x 1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* y (- x 1/2))))
#s(approx y #s(hole binary64 y))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- y 1) x) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (* (- y 1) x) #s(hole binary64 (* x y)))
#s(approx (* (- y 1) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) -1/2 y (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1))
1.0ms	y	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) -1/2 y (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1))
1.0ms	x	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) -1/2 y (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1))
1.0ms	x	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) -1/2 y (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1))
1.0ms	y	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) -1/2 y (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1))

rewrite177.0ms (7.5%)

Memory

11.2MiB live, 200.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	666
0	141	608
1	756	602
2	6843	602
0	8009	564

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

56 → 60

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
(*.f64 #s(approx (- y 1) y) x)
#s(approx (- y 1) y)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 918938533204673/1000000000000000))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1/2 y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (+ (* -1/2 y) (* x y))))
#s(approx (- x 1/2) #s(hole binary64 -1/2))
#s(approx (- x 1/2) #s(hole binary64 (- x 1/2)))
#s(approx (* (- y 1) x) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 x)))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x (+ y (* -1/2 (/ y x))))))
#s(approx (- x 1/2) #s(hole binary64 x))
#s(approx (- x 1/2) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))))
#s(approx (- x 1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* y (- x 1/2))))
#s(approx y #s(hole binary64 y))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- y 1) x) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (* (- y 1) x) #s(hole binary64 (* x y)))
#s(approx (* (- y 1) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
(*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64)))
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
(*.f64 #s(approx (- y 1) y) x)
(*.f64 x #s(approx (- y 1) y))
#s(approx (- y 1) y)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- 918938533204673/1000000000000000 x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (neg x) (neg.f64 x))
#s(approx x x)
#s(approx (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* (- x 1/2) y) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(approx (- x 1/2) (-.f64 x #s(literal 1/2 binary64)))
#s(approx (* (- y 1) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 1 binary64)) y) x))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
#s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- x 1/2) y) (*.f64 y x))
#s(approx (* (- x 1/2) y) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) y) x))
#s(approx (- x 1/2) x)
#s(approx (- x 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) x) (-.f64 y #s(literal 1 binary64))) (neg.f64 x)))
#s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- x 1/2) y) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) y) x))
#s(approx (- x 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
#s(approx (* (- x 1/2) y) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx y y)
#s(approx (* (- y 1) x) (neg.f64 x))
#s(approx (* (- y 1) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (- y 1) #s(literal -1 binary64))
#s(approx (- y 1) (-.f64 y #s(literal 1 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y))
#s(approx (* (- y 1) x) (*.f64 y x))
#s(approx (* (- y 1) x) (*.f64 (-.f64 x (/.f64 x y)) y))
#s(approx (- y 1) y)
#s(approx (- y 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y))
#s(approx (* (- y 1) x) (*.f64 (-.f64 x (/.f64 x y)) y))
#s(approx (- y 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))

eval3.0ms (0.1%)

Memory: 6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 204 to 130 computations (36.3% saved)

prune52.0ms (2.2%)

Memory

-37.8MiB live, 9.8MiB allocated; 1ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	30	8	38

Accuracy

100.0%

Counts

38 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	49.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	51.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	51.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	27.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
✓	27.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
✓	25.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	26.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Compiler

Compiled 171 to 152 computations (11.1% saved)

regimes13.0ms (0.6%)

Memory

27.9MiB live, 27.9MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Calls

4 calls:

3.0ms	x
3.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
3.0ms	y
3.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 20 to 22 computations (-10% saved)

regimes31.0ms (1.3%)

Memory

-24.0MiB live, 27.8MiB allocated; 4ms collecting garbage

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Calls

4 calls:

22.0ms	x
3.0ms	y
3.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
3.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
79.0%	4	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
79.0%	4	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
98.5%	3	`x`
98.0%	3	`y`

Compiler

Compiled 20 to 22 computations (-10% saved)

regimes6.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
98.0%	3	`y`
78.6%	4	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes13.0ms (0.5%)

Memory

-18.4MiB live, 27.4MiB allocated; 3ms collecting garbage

Counts

6 → 4

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))

Calls

4 calls:

5.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
2.0ms	x
2.0ms	y
2.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
78.5%	4	`x`
64.9%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
64.9%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
79.9%	6	`y`

Compiler

Compiled 20 to 22 computations (-10% saved)

regimes5.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

5 → 6

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
79.5%	6	`y`
59.0%	4	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes2.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
73.4%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.4%)

Memory

-24.9MiB live, 21.3MiB allocated; 2ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Calls

4 calls:

3.0ms	x
2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
2.0ms	y
1.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
49.6%	1	`x`
49.6%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
49.6%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
49.6%	1	`y`

Compiler

Compiled 20 to 22 computations (-10% saved)

regimes6.0ms (0.2%)

Memory

18.0MiB live, 18.1MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

Calls

4 calls:

1.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
1.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
48.5%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
48.5%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
32.3%	3	`y`
48.6%	3	`x`

Compiler

Compiled 20 to 22 computations (-10% saved)

regimes4.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB 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 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Calls

4 calls:

1.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
26.2%	1	`y`
26.2%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
26.2%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
26.2%	1	`x`

Compiler

Compiled 20 to 22 computations (-10% saved)

bsearch40.0ms (1.7%)

Memory

-16.7MiB live, 76.6MiB allocated; 26ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	6.443029400422279e-7	1417437113442.0876
11.0ms	-85.21197648970501	-0.41444002157089516

Samples

22.0ms

272×

valid

Compiler

Compiled 490 to 525 computations (-7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult!: 15.0ms (90.1% of total)

ival-sub!: 2.0ms (12% of total)

ival-add!: 1.0ms (6% of total)

adjust: 0.0ms (0% of total)

bsearch46.0ms (2%)

Memory

-2.0MiB live, 79.4MiB allocated; 29ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	7.52265048994515e-15	3.3793760736611294
8.0ms	-5.401810617443803	-0.027465365957478102

Samples

10.0ms

272×

valid

Compiler

Compiled 473 to 508 computations (-7.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult!: 3.0ms (63.7% of total)

ival-sub!: 1.0ms (21.2% of total)

ival-add!: 1.0ms (21.2% of total)

adjust: 0.0ms (0% of total)

bsearch33.0ms (1.4%)

Memory

26.6MiB live, 72.6MiB allocated; 6ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	6.443029400422279e-7	1417437113442.0876
15.0ms	-1.0212195477588757e-8	-2.920502673977171e-22
9.0ms	-5.997793765501e+158	-2.892627170345753e+154

Samples

13.0ms

352×

valid

Compiler

Compiled 780 to 819 computations (-5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult!: 3.0ms (52% of total)

ival-sub!: 2.0ms (34.7% of total)

ival-add!: 1.0ms (17.3% of total)

adjust: 0.0ms (0% of total)

bsearch58.0ms (2.5%)

Memory

-24.5MiB live, 81.8MiB allocated; 32ms collecting garbage

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	5.837370247814835e+261	9.052483112689303e+261
4.0ms	7.52265048994515e-15	3.3793760736611294
6.0ms	-5.401810617443803	-0.027465365957478102
30.0ms	-1.307489639275136e+128	-6.997721762899734e+123
7.0ms	-4.9917867396024763e+269	-1.1601041948898817e+269

Samples

36.0ms

416×

valid

Compiler

Compiled 1 002 to 1 045 computations (-4.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult!: 24.0ms (87.7% of total)

ival-sub!: 2.0ms (7.3% of total)

ival-add!: 1.0ms (3.7% of total)

adjust: 0.0ms (0% of total)

bsearch5.0ms (0.2%)

Memory

10.0MiB live, 10.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	7.52265048994515e-15	3.3793760736611294
1.0ms	-5.401810617443803	-0.027465365957478102

Samples

1.0ms

32×

valid

Compiler

Compiled 490 to 525 computations (-7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

bsearch19.0ms (0.8%)

Memory

-7.2MiB live, 39.8MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.597519695662386e+31	1.2645779261677662e+39
5.0ms	-85.21197648970501	-0.41444002157089516

Samples

9.0ms

208×

valid

Compiler

Compiled 462 to 495 computations (-7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult!: 2.0ms (58.4% of total)

ival-sub!: 1.0ms (29.2% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

derivations330.0ms (14.1%)

Memory

29.5MiB live, 252.6MiB allocated; 56ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 107 to 86 computations (19.6% saved)

preprocess82.0ms (3.5%)

Memory: -4.3MiB live, 136.3MiB allocated; 32ms collecting garbage
Compiler: Compiled 117 to 96 computations (17.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample723.0ms (30.8%)

preprocess60.0ms (2.5%)

series8.0ms (0.3%)

rewrite249.0ms (10.6%)

eval12.0ms (0.5%)

prune30.0ms (1.3%)

series7.0ms (0.3%)

rewrite292.0ms (12.4%)

eval19.0ms (0.8%)

prune8.0ms (0.4%)

series6.0ms (0.2%)

rewrite177.0ms (7.5%)

eval3.0ms (0.1%)

prune52.0ms (2.2%)

regimes13.0ms (0.6%)

regimes31.0ms (1.3%)

regimes6.0ms (0.2%)

regimes13.0ms (0.5%)

regimes5.0ms (0.2%)

regimes2.0ms (0.1%)

regimes8.0ms (0.4%)

regimes6.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch40.0ms (1.7%)

bsearch46.0ms (2%)

bsearch33.0ms (1.4%)

bsearch58.0ms (2.5%)

bsearch5.0ms (0.2%)

bsearch19.0ms (0.8%)

derivations330.0ms (14.1%)

preprocess82.0ms (3.5%)

end0.0ms (0%)

Profiling