Metrics for A quarter-circle in the lower-left quadrant

start0.0ms (0%)

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

analyze105.0ms (4.1%)

Memory

-28.1MiB live, 126.6MiB allocated; 52ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	4
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	5
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	6
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	7
51.6%	51.5%	48.4%	0.1%	0%	0%	0%	8
67.2%	67.1%	32.8%	0.1%	0%	0%	0%	9
74.6%	74.5%	25.4%	0.1%	0%	0%	0%	10
83.2%	83.1%	16.8%	0.1%	0%	0%	0%	11
87%	86.9%	13%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample864.0ms (33.5%)

Memory

12.3MiB live, 1 226.8MiB allocated; 364ms collecting garbage

Samples

569.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 337.0ms

ival-pow2: 268.0ms (79.5% of total)

ival-sub!: 33.0ms (9.8% of total)

ival-add!: 21.0ms (6.2% of total)

ival-fmax: 13.0ms (3.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess478.0ms (18.5%)

Memory

1.8MiB live, 48.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	88
1	65	84
2	160	84
3	306	84
4	417	84
5	1006	84
6	7119	84

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 22 to 20 computations (9.1% saved)

series9.0ms (0.4%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

10 → 14

Calls

Call 1

Inputs
(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))
(-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 1/2 binary64)
(fmax.f64 x y)

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))
2.0ms	x	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))
1.0ms	y	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))
1.0ms	y	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))
1.0ms	x	@	0	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))

rewrite190.0ms (7.4%)

Memory

27.0MiB live, 215.0MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	268
0	57	232
1	301	232
0	3492	198

Stop Event

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

Counts

24 → 538

Calls

Call 1

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

Outputs
(fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))
(.f64 (.f64 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) y) y)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y)))) (.f64 x x)) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y)))) (.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))))) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))))) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (fma.f64 x x (.f64 y y)))) (fma.f64 x x (*.f64 y y)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y)))) (fma.f64 x x (*.f64 y y)))
(.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (*.f64 y y)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64)))))
(.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (.f64 y y)) #s(literal 1 binary64)) (*.f64 y y))
(.f64 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (fma.f64 x x (.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y)))))
(.f64 (.f64 x x) (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (.f64 y y) (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)))
(.f64 x (.f64 x (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))))
(.f64 y (.f64 y (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y)))) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 y x) (-.f64 y x)))) (.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y)))) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y)))) (.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)))) (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)))) (fma.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (.f64 (.f64 x x) (.f64 (/.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (.f64 x x)) (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 y y) (.f64 (/.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (.f64 y y)) (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (.f64 y y)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (.f64 y y)))
(/.f64 (.f64 (.f64 y y) (-.f64 (pow.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (.f64 y y)) (.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (.f64 x x)) (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))) (.f64 x x)) (/.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (.f64 x x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (.f64 y y)) (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (.f64 y y)) #s(literal 1 binary64))) (.f64 y y)) (/.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)))) (.f64 y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (.f64 y y)) (.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 y y #s(literal 1/2 binary64)) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1/4 binary64))) (fma.f64 y y #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 y y) y) y (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y) #s(literal -1/8 binary64))) (fma.f64 (.f64 (.f64 y y) y) y (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (.f64 y y) (fma.f64 x x #s(literal 1/2 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1/4 binary64))) (fma.f64 x x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1/8 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (fma.f64 y y #s(literal -1/2 binary64)) (fma.f64 y y #s(literal -1/2 binary64)))) (-.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (fma.f64 x x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1/2 binary64)))) (-.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (.f64 (fma.f64 y y #s(literal -1/2 binary64)) (fma.f64 y y #s(literal -1/2 binary64))) (.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y) (pow.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 (.f64 (fma.f64 x x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1/2 binary64))) (.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (fma.f64 (fma.f64 x x (.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) #s(literal -1/4 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (fma.f64 (fma.f64 x x (.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (fma.f64 (fma.f64 x x (.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(neg.f64 (.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))) (*.f64 x x)))
(neg.f64 (.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (.f64 y y)) #s(literal 1 binary64))) (*.f64 y y)))
(neg.f64 (.f64 (.f64 x x) (neg.f64 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))))
(neg.f64 (.f64 (.f64 y y) (neg.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)))))
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(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (.f64 (.f64 (.f64 x x) y) y) (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 y y))
(fma.f64 (.f64 (.f64 (.f64 x x) y) y) (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x))
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) (.f64 y y) (.f64 y y))
(fma.f64 (.f64 y (/.f64 y (.f64 x x))) (.f64 x x) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (neg.f64 (.f64 (neg.f64 y) y)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 y (/.f64 y (.f64 x x))) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (.f64 (.f64 x (/.f64 x (.f64 y y))) (*.f64 y y)))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 y y)) (*.f64 y y))
(fma.f64 (.f64 x x) (.f64 y (/.f64 y (.f64 x x))) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (neg.f64 (.f64 (neg.f64 y) y)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 y (/.f64 y (.f64 x x))) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 y y))
(fma.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)) (*.f64 x x))
(fma.f64 (.f64 y y) (.f64 x (/.f64 x (.f64 y y))) (.f64 y y))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (.f64 (.f64 x (/.f64 x (.f64 y y))) (*.f64 y y)))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (.f64 x x))
(fma.f64 x (.f64 x (.f64 y (/.f64 y (.f64 x x)))) (.f64 x x))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 (neg.f64 y) y)))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (.f64 y (/.f64 y (.f64 x x))) (*.f64 x x)))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 y y))
(fma.f64 x (/.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 y) y)))
(fma.f64 x (/.f64 x #s(literal 1 binary64)) (.f64 (.f64 y (/.f64 y (.f64 x x))) (.f64 x x)))
(fma.f64 x (/.f64 x #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 x x (neg.f64 (*.f64 (neg.f64 y) y)))
(fma.f64 x x (.f64 (.f64 y (/.f64 y (.f64 x x))) (.f64 x x)))
(fma.f64 x x (*.f64 y y))
(fma.f64 y (.f64 y (.f64 x (/.f64 x (.f64 y y)))) (.f64 y y))
(fma.f64 y (.f64 y #s(literal 1 binary64)) (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 y (.f64 y #s(literal 1 binary64)) (.f64 (.f64 x (/.f64 x (.f64 y y))) (*.f64 y y)))
(fma.f64 y (.f64 y #s(literal 1 binary64)) (.f64 x x))
(fma.f64 y (/.f64 y #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 y (/.f64 y #s(literal 1 binary64)) (.f64 (.f64 x (/.f64 x (.f64 y y))) (.f64 y y)))
(fma.f64 y (/.f64 y #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 y y (.f64 (.f64 x (/.f64 x (.f64 y y))) (.f64 y y)))
(fma.f64 y y (*.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) (.f64 y (/.f64 y (*.f64 x x)))))
(-.f64 (.f64 x x) (.f64 (/.f64 (.f64 (neg.f64 y) y) (.f64 x x)) (*.f64 x x)))
(-.f64 (.f64 x x) (neg.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) (*.f64 x x))))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y y) (.f64 (.f64 (neg.f64 y) y) (.f64 x (/.f64 x (*.f64 y y)))))
(-.f64 (.f64 y y) (.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 y y)) (*.f64 y y)))
(-.f64 (.f64 y y) (neg.f64 (.f64 (.f64 x (/.f64 x (.f64 y y))) (*.f64 y y))))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (fma.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (.f64 (.f64 x x) x) x))))
(+.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) (.f64 x x)) (*.f64 x x))
(+.f64 (.f64 (.f64 x (/.f64 x (.f64 y y))) (.f64 y y)) (*.f64 y y))
(+.f64 (.f64 x x) (neg.f64 (.f64 (neg.f64 y) y)))
(+.f64 (.f64 x x) (.f64 (.f64 y (/.f64 y (.f64 x x))) (*.f64 x x)))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (neg.f64 (.f64 (neg.f64 x) x)))
(+.f64 (.f64 y y) (.f64 (.f64 x (/.f64 x (.f64 y y))) (*.f64 y y)))
(+.f64 (.f64 y y) (.f64 x x))
(.f64 (/.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(.f64 (.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 y (.f64 y #s(literal 1 binary64)))
(*.f64 y (/.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(literal 2 binary64)
(.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x (/.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 1/2 binary64)
(fmax.f64 x y)
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y))
#s(approx (+ (pow y 2) (pow x 2)) (fma.f64 x x (*.f64 y y)))
#s(approx (pow x 2) (*.f64 x x))
#s(approx x x)
#s(approx (fmax x y) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))))
#s(approx (+ (pow y 2) (pow x 2)) (fma.f64 x x (*.f64 y y)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64)))
#s(approx y y)
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))))
#s(approx (+ (pow y 2) (pow x 2)) (fma.f64 x x (*.f64 y y)))

eval168.0ms (6.5%)

Memory: -19.9MiB live, 177.7MiB allocated; 142ms collecting garbage
Compiler: Compiled 5 208 to 1 647 computations (68.4% saved)

prune22.0ms (0.9%)

Memory

-8.4MiB live, 28.5MiB allocated; 16ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	525	2	527
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	526	2	528

Accuracy

100.0%

Counts

528 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.3%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))
▶	67.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))

Status

Accuracy

Program

▶

66.3%

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))

▶

67.8%

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 26 to 26 computations (0% saved)

series4.0ms (0.2%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

10 → 14

Calls

Call 1

Inputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 x x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(fmax.f64 x y)
y
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 y y #s(literal -1/2 binary64))

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) -1/2) x -1/2 (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2))
1.0ms	x	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) -1/2) x -1/2 (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2))
1.0ms	x	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) -1/2) x -1/2 (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2))
1.0ms	y	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) -1/2) x -1/2 (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2))
0.0ms	x	@	0	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) -1/2) x -1/2 (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2))

rewrite156.0ms (6.1%)

Memory

3.0MiB live, 185.5MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	292
0	64	233
1	362	233
0	4313	218

Stop Event

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

Counts

24 → 226

Calls

Call 1

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

Outputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1/4 binary64)))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))
(*.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (.f64 y y))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (.f64 y y))))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) y) y (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (.f64 y y))))
(fma.f64 (.f64 #s(literal 1 binary64) y) y (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) y) y #s(literal -1/2 binary64))
(fma.f64 (/.f64 (fabs.f64 y) #s(literal 1 binary64)) (/.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 (/.f64 (fabs.f64 y) #s(literal 1 binary64)) (/.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 (/.f64 (fabs.f64 y) #s(literal 1 binary64)) (/.f64 (fabs.f64 y) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 (neg.f64 y) (neg.f64 y) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (.f64 y y))))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 y y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (.f64 y y))))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 y (/.f64 y #s(literal 1 binary64)) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 y (/.f64 y #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 y (/.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 y y (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(fma.f64 y y (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y y)))
(fma.f64 y y #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y y #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (fma.f64 (.f64 (.f64 y y) y) y (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 (.f64 y y) y) y (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1/4 binary64)))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 y y) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (fma.f64 (.f64 (.f64 y y) y) y (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 y y) y) y (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1/4 binary64)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 y y))
(+.f64 (.f64 y y) (.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (.f64 y y))))
(+.f64 (.f64 y y) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 y y)))
(+.f64 (*.f64 y y) #s(literal -1/2 binary64))
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))))
#s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* x x) -1/2) (fma.f64 x x #s(literal -1/2 binary64)))
#s(approx x x)
#s(approx (fmax x y) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))))
#s(approx (+ (* x x) -1/2) (fma.f64 x x #s(literal -1/2 binary64)))
#s(approx y y)
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))))
#s(approx (+ (* y y) -1/2) (fma.f64 y y #s(literal -1/2 binary64)))

eval56.0ms (2.2%)

Memory: 12.4MiB live, 107.7MiB allocated; 16ms collecting garbage
Compiler: Compiled 1 898 to 805 computations (57.6% saved)

prune7.0ms (0.3%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	212	3	215
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	212	5	217

Accuracy

100.0%

Counts

217 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.3%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))
✓	67.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
▶	60.1%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
▶	59.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
▶	27.9%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 66 to 66 computations (0% saved)

series13.0ms (0.5%)

Memory

-28.2MiB live, 17.2MiB allocated; 6ms collecting garbage

Counts

13 → 13

Calls

Call 1

Inputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64)))
#s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fmax.f64 x y)
x
y
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x))
(*.f64 x x)
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y))
(*.f64 y y)

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) -1/2) -1/2 (fmax x y) x y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y))
2.0ms	x	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) -1/2) -1/2 (fmax x y) x y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y))
1.0ms	x	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) -1/2) -1/2 (fmax x y) x y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y))
1.0ms	y	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) -1/2) -1/2 (fmax x y) x y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y))
1.0ms	y	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) -1/2) -1/2 (fmax x y) x y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y))

rewrite144.0ms (5.6%)

Memory

19.6MiB live, 160.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	304
0	64	272
1	338	272
0	3969	233

Stop Event

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

Counts

26 → 98

Calls

Call 1

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

Outputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64)))
#s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fmax.f64 x y)
x
y
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x (/.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y))
(.f64 (/.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (/.f64 (fabs.f64 y) #s(literal 1 binary64)) (/.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y (/.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))))
#s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* x x) -1/2) (fma.f64 x x #s(literal -1/2 binary64)))
#s(approx (fmax x y) (fmax.f64 x y))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))))
#s(approx (+ (* x x) -1/2) (fma.f64 x x #s(literal -1/2 binary64)))
#s(approx y y)
#s(approx (* y y) (*.f64 y y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))))

eval9.0ms (0.4%)

Memory: 23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 494 to 320 computations (35.2% saved)

prune8.0ms (0.3%)

Memory

-33.0MiB live, 12.4MiB allocated; 6ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	86	5	91

Accuracy

100.0%

Counts

91 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.3%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))
✓	67.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
✓	60.1%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
✓	59.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
✓	27.9%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 114 to 101 computations (11.4% saved)

regimes8.0ms (0.3%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	y
2.0ms	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))

Results

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

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes10.0ms (0.4%)

Memory

-28.4MiB live, 17.5MiB allocated; 4ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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

Outputs

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.2%	3	`(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))`
93.3%	3	`x`
92.7%	3	`y`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes4.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

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

Outputs

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
92.5%	3	`y`
87.1%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

3 → 3

Calls

Call 1

Inputs

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

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))

Outputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

Outputs

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
86.9%	3	`x`
84.4%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

Outputs

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

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.2%	2	`(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))`
59.8%	1	`y`
67.1%	3	`x`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes3.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
27.9%	1	`y`
27.9%	1	`x`
27.9%	1	`(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

bsearch28.0ms (1.1%)

Memory

3.5MiB live, 49.4MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.0947995492688093e-20	1.0738440438304066e-18
15.0ms	-5.807018520498275e+47	-8.560173397697459e+45

Samples

17.0ms

224×

valid

Compiler

Compiled 373 to 399 computations (-7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-pow2: 9.0ms (75.3% of total)

ival-fmax: 2.0ms (16.7% of total)

ival-sub!: 1.0ms (8.4% of total)

ival-add!: 1.0ms (8.4% of total)

adjust: 0.0ms (0% of total)

bsearch64.0ms (2.5%)

Memory

-25.9MiB live, 80.5MiB allocated; 32ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.9025946923218313	6381.5535587753
39.0ms	-154525451122.79333	-401.6847280865113

Samples

41.0ms

272×

valid

Compiler

Compiled 441 to 473 computations (-7.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow2: 9.0ms (57.2% of total)

ival-fmax: 5.0ms (31.8% of total)

ival-sub!: 1.0ms (6.4% of total)

ival-add!: 1.0ms (6.4% of total)

adjust: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0947995492688093e-20	1.0738440438304066e-18
1.0ms	-5.807018520498275e+47	-8.560173397697459e+45

Compiler

Compiled 352 to 378 computations (-7.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.038036053879987e-72	3.3452925398809805e-68

Compiler

Compiled 14 to 15 computations (-7.1% saved)

derivations125.0ms (4.9%)

Memory

11.9MiB live, 151.5MiB allocated; 22ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 69 to 52 computations (24.6% saved)

preprocess89.0ms (3.4%)

Memory: 24.9MiB live, 140.2MiB allocated; 36ms collecting garbage
Compiler: Compiled 80 to 62 computations (22.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze105.0ms (4.1%)

sample864.0ms (33.5%)

preprocess478.0ms (18.5%)

series9.0ms (0.4%)

rewrite190.0ms (7.4%)

eval168.0ms (6.5%)

prune22.0ms (0.9%)

series4.0ms (0.2%)

rewrite156.0ms (6.1%)

eval56.0ms (2.2%)

prune7.0ms (0.3%)

series13.0ms (0.5%)

rewrite144.0ms (5.6%)

eval9.0ms (0.4%)

prune8.0ms (0.3%)

regimes8.0ms (0.3%)

regimes10.0ms (0.4%)

regimes4.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch28.0ms (1.1%)

bsearch64.0ms (2.5%)

bsearch3.0ms (0.1%)

bsearch0.0ms (0%)

derivations125.0ms (4.9%)

preprocess89.0ms (3.4%)

end0.0ms (0%)

Profiling