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

start0.0ms (0%)

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

analyze81.0ms (3.6%)

Memory

7.4MiB live, 111.7MiB allocated; 30ms 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)

sample663.0ms (29.9%)

Memory

8.0MiB live, 991.0MiB allocated; 236ms collecting garbage

Samples

466.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-pow2: 228.0ms (83.4% of total)

ival-add!: 19.0ms (6.9% of total)

ival-sub!: 18.0ms (6.6% of total)

ival-fmax: 6.0ms (2.2% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess435.0ms (19.7%)

Memory

-22.3MiB live, 23.2MiB allocated; 4ms 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)

series5.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB 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
1.0ms	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	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))

rewrite115.0ms (5.2%)

Memory

2.3MiB live, 143.7MiB allocated; 13ms 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)))

eval67.0ms (3%)

Memory: 29.2MiB live, 123.4MiB allocated; 13ms collecting garbage
Compiler: Compiled 5 208 to 1 647 computations (68.4% saved)

prune10.0ms (0.5%)

Memory

-24.4MiB live, 21.7MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	524	3	527
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	525	3	528

Accuracy

100.0%

Counts

528 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fmax.f64 (fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
▶	69.3%	(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))
▶	65.7%	(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

▶

100.0%

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

▶

69.3%

(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))

▶

65.7%

(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 33 to 33 computations (0% saved)

series4.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

12 → 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))
(fmax.f64 (fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
(fma.f64 y y (fma.f64 x x #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	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) (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -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) (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -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) (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -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) (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -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) (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)))

rewrite172.0ms (7.8%)

Memory

-7.3MiB live, 132.8MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	310
0	71	236
1	386	236
0	4670	236

Stop Event

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

Counts

26 → 552

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

eval92.0ms (4.2%)

Memory: 14.3MiB live, 102.2MiB allocated; 13ms collecting garbage
Compiler: Compiled 6 175 to 1 812 computations (70.7% saved)

prune11.0ms (0.5%)

Memory

22.6MiB live, 22.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	641	3	644
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	641	6	647

Accuracy

100.0%

Counts

647 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fmax.f64 (fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
✓	69.3%	(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))
✓	65.7%	(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))
▶	59.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
▶	57.1%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
▶	29.6%	(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 73 to 73 computations (0% saved)

series5.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms 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
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	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))
1.0ms	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) -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))

rewrite174.0ms (7.9%)

Memory

-39.7MiB live, 103.2MiB allocated; 36ms 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: 16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 494 to 320 computations (35.2% saved)

prune5.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	86	6	92

Accuracy

100.0%

Counts

92 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fmax.f64 (fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
✓	69.3%	(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))
✓	65.7%	(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))
✓	59.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
✓	57.1%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
✓	29.6%	(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 124 to 110 computations (11.3% saved)

regimes8.0ms (0.4%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

7 → 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 (fma.f64 y y (fma.f64 x x #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 (fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	(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)

regimes12.0ms (0.6%)

Memory

-35.3MiB live, 10.9MiB allocated; 3ms 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) (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))
(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) (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))

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

Calls

3 calls:

7.0ms	x
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))
2.0ms	y

Results

Accuracy	Segments	Branch
69.3%	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))`
93.0%	3	`x`
93.3%	3	`y`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB 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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
93.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB 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 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))
(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) (*.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))

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
83.5%	3	`x`
84.6%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB 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	(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	y
1.0ms	x

Results

Accuracy	Segments	Branch
65.5%	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))`
65.5%	3	`x`
57.1%	1	`y`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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	y
1.0ms	x

Results

Accuracy	Segments	Branch
29.6%	1	`y`
29.6%	1	`x`
29.6%	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)

bsearch49.0ms (2.2%)

Memory

-22.3MiB live, 22.8MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.0709815527895147e+26	2.5444054350019966e+33
13.0ms	-163977.99816496894	-0.006864504293437817

Samples

15.0ms

288×

valid

Compiler

Compiled 475 to 509 computations (-7.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-pow2: 5.0ms (52.9% of total)

ival-fmax: 3.0ms (31.7% of total)

ival-sub!: 1.0ms (10.6% of total)

ival-add!: 1.0ms (10.6% of total)

adjust: 0.0ms (0% of total)

bsearch15.0ms (0.7%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.0709815527895147e+26	2.5444054350019966e+33
13.0ms	-1422261632598069.8	-55206362.15982553

Samples

8.0ms

144×

valid

Compiler

Compiled 466 to 500 computations (-7.3% saved)

Precisions

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

ival-pow2: 3.0ms (63% of total)

ival-fmax: 1.0ms (21% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.0709815527895147e+26	2.5444054350019966e+33
1.0ms	-1422261632598069.8	-55206362.15982553

Compiler

Compiled 448 to 482 computations (-7.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.2540678954001284e-60	2.331132829806826e-51

Compiler

Compiled 14 to 15 computations (-7.1% saved)

derivations189.0ms (8.5%)

Memory

4.5MiB live, 51.6MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 72 to 51 computations (29.2% saved)

preprocess78.0ms (3.5%)

Memory: -0.3MiB live, 91.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 83 to 61 computations (26.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze81.0ms (3.6%)

sample663.0ms (29.9%)

preprocess435.0ms (19.7%)

series5.0ms (0.2%)

rewrite115.0ms (5.2%)

eval67.0ms (3%)

prune10.0ms (0.5%)

series4.0ms (0.2%)

rewrite172.0ms (7.8%)

eval92.0ms (4.2%)

prune11.0ms (0.5%)

series5.0ms (0.2%)

rewrite174.0ms (7.9%)

eval9.0ms (0.4%)

prune5.0ms (0.2%)

regimes8.0ms (0.4%)

regimes12.0ms (0.6%)

regimes2.0ms (0.1%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch49.0ms (2.2%)

bsearch15.0ms (0.7%)

bsearch2.0ms (0.1%)

bsearch0.0ms (0%)

derivations189.0ms (8.5%)

preprocess78.0ms (3.5%)

end0.0ms (0%)

Profiling