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

start0.0ms (0%)

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

analyze87.0ms (6.3%)

Memory

8.5MiB live, 149.9MiB allocated; 27ms 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)

sample518.0ms (37.8%)

Memory

-0.2MiB live, 1 138.3MiB allocated; 52ms collecting garbage

Samples

328.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-pow2: 126.0ms (74.1% of total)

ival-add!: 19.0ms (11.2% of total)

ival-sub!: 17.0ms (10% of total)

ival-fmax: 7.0ms (4.1% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess74.0ms (5.4%)

Memory

-24.7MiB live, 69.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	84
1	73	84
2	173	84
3	424	84
4	1574	84
5	4785	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 (0.4%)

Memory

13.3MiB live, 13.3MiB 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))

rewrite175.0ms (12.8%)

Memory

32.9MiB live, 221.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	268
0	57	252
1	284	244
2	2380	244
0	8424	210
1	27158	210

Stop Event

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

Counts

24 → 313

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))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))))
(fma.f64 (neg.f64 (.f64 #s(literal 1 binary64) y)) (neg.f64 (.f64 #s(literal 1 binary64) y)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (neg.f64 (.f64 y #s(literal 1 binary64))) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 x #s(literal 1 binary64))) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)) x) x #s(literal -1/2 binary64))
(fma.f64 (.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64)) (fabs.f64 y)) (fabs.f64 y) #s(literal -1/2 binary64))
(fma.f64 (.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64)) y) y #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 x (/.f64 x (*.f64 y y))) (fabs.f64 y)) (fabs.f64 y) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 x (/.f64 x (*.f64 y y))) y) y (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 y (/.f64 y (*.f64 x x))) (fabs.f64 x)) (fabs.f64 x) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 y (/.f64 y (*.f64 x x))) x) x (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) y) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) y) y (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (.f64 y #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 y (/.f64 y (*.f64 x x)))) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (.f64 x (/.f64 x (*.f64 y y)))) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 x x #s(literal -1/2 binary64)))
(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 x (/.f64 x (.f64 y y))) (*.f64 y y) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (.f64 y (/.f64 y (.f64 x x))) (*.f64 x x) (fma.f64 x x #s(literal -1/2 binary64)))
(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) (fma.f64 x x #s(literal -1/2 binary64)))
(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) (.f64 y (/.f64 y (*.f64 x x))) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 y y #s(literal -1/2 binary64)))
(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) (.f64 x (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 x (.f64 x (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(fma.f64 x (.f64 x (.f64 y (/.f64 y (*.f64 x x)))) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 y (.f64 y (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(fma.f64 y (.f64 y (.f64 x (/.f64 x (*.f64 y y)))) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 y #s(literal 1 binary64)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64)))
(-.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 #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) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)))
(-.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+.f64 #s(literal -1/2 binary64) (fma.f64 x x (*.f64 y y)))
(+.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 (*.f64 y y)) #s(literal -1/2 binary64))
(+.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/2 binary64)))
(.f64 (.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x)
(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64))))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64)) (*.f64 y y))
(.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(.f64 x (.f64 x (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64))))
(.f64 y (.f64 y (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64))))
(neg.f64 (-.f64 (.f64 (neg.f64 y) y) (.f64 x x)))
(neg.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)))
(fma.f64 (neg.f64 (.f64 #s(literal 1 binary64) y)) (neg.f64 (.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 (.f64 #s(literal 1 binary64) y)) (neg.f64 (.f64 #s(literal 1 binary64) y)) (*.f64 x x))
(fma.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (neg.f64 (.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (neg.f64 (.f64 y #s(literal 1 binary64))) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 x x))
(fma.f64 (neg.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (neg.f64 y) y)))
(fma.f64 (neg.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(fma.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 y) y)))
(fma.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 x #s(literal 1 binary64))) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (*.f64 (neg.f64 y) y)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (*.f64 y y))
(fma.f64 (.f64 (.f64 x (/.f64 x (.f64 y y))) (fabs.f64 y)) (fabs.f64 y) (neg.f64 (.f64 (neg.f64 y) y)))
(fma.f64 (.f64 (.f64 x (/.f64 x (.f64 y y))) (fabs.f64 y)) (fabs.f64 y) (.f64 y y))
(fma.f64 (.f64 (.f64 x (/.f64 x (.f64 y y))) y) y (neg.f64 (.f64 (neg.f64 y) y)))
(fma.f64 (.f64 (.f64 x (/.f64 x (.f64 y y))) y) y (.f64 y y))
(fma.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) (fabs.f64 x)) (fabs.f64 x) (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) (fabs.f64 x)) (fabs.f64 x) (.f64 x x))
(fma.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) x) x (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) x) x (.f64 x x))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) y) (*.f64 x x))
(fma.f64 (.f64 #s(literal 1 binary64) y) y (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 #s(literal 1 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (neg.f64 y) y)))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (*.f64 y y))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (neg.f64 (.f64 (neg.f64 y) y)))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 y y))
(fma.f64 (.f64 y #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (.f64 y #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 y) y)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 (*.f64 (neg.f64 y) y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 y (/.f64 y (.f64 x x)))) (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 y (/.f64 y (.f64 x x)))) (.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 (*.f64 (neg.f64 y) y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (.f64 x (/.f64 x (.f64 y y)))) (neg.f64 (.f64 (neg.f64 y) y)))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (.f64 x (/.f64 x (.f64 y y)))) (.f64 y y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 #s(literal 1 binary64) (.f64 y y)) (neg.f64 (*.f64 (neg.f64 y) y)))
(fma.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 y y))
(fma.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (*.f64 (neg.f64 y) y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (.f64 x (/.f64 x (.f64 y y))) (.f64 y y) (neg.f64 (.f64 (neg.f64 y) y)))
(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) (neg.f64 (.f64 (neg.f64 x) x)))
(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 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 x x))
(fma.f64 (.f64 x x) (.f64 y (/.f64 y (.f64 x x))) (neg.f64 (.f64 (neg.f64 x) x)))
(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 y y))
(fma.f64 (.f64 y y) (.f64 x (/.f64 x (.f64 y y))) (neg.f64 (.f64 (neg.f64 y) y)))
(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 x x))
(fma.f64 x (.f64 x (.f64 y (/.f64 y (.f64 x x)))) (neg.f64 (.f64 (neg.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 y y))
(fma.f64 x x (neg.f64 (*.f64 (neg.f64 y) y)))
(fma.f64 x x (*.f64 y y))
(fma.f64 y (.f64 y (.f64 x (/.f64 x (.f64 y y)))) (neg.f64 (.f64 (neg.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 x x))
(fma.f64 y y (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 y y (*.f64 x x))
(sqrt.f64 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (*.f64 y 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) (.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) (.f64 (neg.f64 x) x))
(fabs.f64 (-.f64 (.f64 (neg.f64 y) y) (.f64 x x)))
(fabs.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)))
(fabs.f64 (neg.f64 (fma.f64 x x (*.f64 y y))))
(fabs.f64 (fma.f64 x x (*.f64 y y)))
(+.f64 (.f64 x x) (neg.f64 (.f64 (neg.f64 y) y)))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (neg.f64 (.f64 (neg.f64 x) x)))
(+.f64 (.f64 y y) (.f64 x x))
(.f64 (neg.f64 (.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 #s(literal 1 binary64) y)))
(.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 y #s(literal 1 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))))
(.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) x) x)
(.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 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 y (/.f64 y (.f64 x x)))))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y (/.f64 y (.f64 x x))) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 x x) (.f64 y (/.f64 y (.f64 x x))))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 y (/.f64 y (.f64 x x)))))
(.f64 y (.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (*.f64 y y) y) y) #s(literal 1/2 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 (neg.f64 (.f64 (.f64 y y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (neg.f64 y) y))) (neg.f64 (.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 x x))) (neg.f64 (.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (.f64 (.f64 y y) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) x) x)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 x x) (.f64 (neg.f64 y) y)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 x x))
(sqrt.f64 (.f64 (.f64 (*.f64 y y) y) y))
(fabs.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) (.f64 (neg.f64 x) x)))
(fabs.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (neg.f64 x) x)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 y (/.f64 y (.f64 x x)))))
(fabs.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 y) y)))
(fabs.f64 (*.f64 y (fabs.f64 y)))
(fabs.f64 (*.f64 (fabs.f64 y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(+.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 2 binary64)))
y
#s(literal 2 binary64)
(.f64 (neg.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 #s(literal 1 binary64) x)))
(.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x #s(literal 1 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(.f64 (.f64 (.f64 x (/.f64 x (.f64 y y))) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 (.f64 x (/.f64 x (.f64 y y))) y) y)
(.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 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (.f64 x (/.f64 x (.f64 y y)))))
(.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x (/.f64 x (.f64 y y))) (.f64 y y))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 y y) (.f64 x (/.f64 x (.f64 y y))))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(.f64 y (.f64 y (.f64 x (/.f64 x (.f64 y y)))))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 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 (neg.f64 (.f64 (.f64 x x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 (neg.f64 x) x))) (neg.f64 (.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 y y))) (neg.f64 (.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (.f64 (.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) x) x)) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 y y) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 y y)) (.f64 (neg.f64 y) y))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (.f64 (.f64 x (/.f64 x (.f64 y y))) (.f64 (neg.f64 y) y)))
(fabs.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 (neg.f64 y) y)))
(fabs.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 x (/.f64 x (.f64 y y)))))
(fabs.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x 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) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) x))
#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) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) y) y))
#s(approx (+ (pow y 2) (pow x 2)) (fma.f64 x x (*.f64 y y)))

eval63.0ms (4.6%)

Memory: -4.7MiB live, 97.8MiB allocated; 33ms collecting garbage
Compiler: Compiled 2 233 to 1 090 computations (51.2% saved)

prune7.0ms (0.5%)

Memory

-33.0MiB live, 15.4MiB allocated; 5ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	302	2	304
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	303	2	305

Accuracy

100.0%

Counts

305 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.4%	(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))
▶	65.5%	(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

▶

70.4%

(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))

▶

65.5%

(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 (0.3%)

Memory

10.6MiB live, 10.6MiB 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	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))
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))
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))

rewrite109.0ms (7.9%)

Memory

-5.5MiB live, 138.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	292
0	64	269
1	326	259
0	2965	242
1	10754	242

Stop Event

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

Counts

24 → 44

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

eval4.0ms (0.3%)

Memory: 11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 243 to 155 computations (36.2% saved)

prune2.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	33	5	38

Accuracy

100.0%

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.4%	(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))
✓	65.5%	(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))
▶	62.0%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
▶	56.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
▶	25.9%	(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)

series6.0ms (0.4%)

Memory

-34.3MiB live, 12.8MiB allocated; 1ms 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
2.0ms	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	@	-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	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))

rewrite105.0ms (7.7%)

Memory

16.8MiB live, 160.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	304
0	64	298
1	308	290
0	2769	251
1	10259	251

Stop Event

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

Counts

26 → 56

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 (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 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.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 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.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 (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 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (fabs.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.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 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (.f64 (.f64 (*.f64 y y) y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y 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 (+ (* 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) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (+ (* x x) -1/2) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx y y)
#s(approx (* y y) (*.f64 y y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) y) y))

eval5.0ms (0.4%)

Memory: 13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 291 to 184 computations (36.8% saved)

prune4.0ms (0.3%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	47	5	52

Accuracy

100.0%

Counts

52 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.4%	(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))
✓	65.5%	(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))
✓	62.0%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
✓	56.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
✓	25.9%	(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 (0.6%)

Memory

-29.2MiB live, 17.9MiB allocated; 1ms 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	(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
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)

regimes7.0ms (0.5%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms 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 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 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))

Calls

3 calls:

2.0ms	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
73.0%	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))`
91.2%	3	`x`
92.8%	3	`y`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes2.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB 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
92.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB 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	y
2.0ms	x

Results

Accuracy	Segments	Branch
82.5%	3	`x`
84.0%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.4%)

Memory

-34.2MiB live, 13.1MiB allocated; 2ms 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:

2.0ms	y
1.0ms	x
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))

Results

Accuracy	Segments	Branch
65.3%	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))`
65.2%	3	`x`
56.8%	1	`y`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes3.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB 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
25.9%	1	`y`
25.9%	1	`x`
25.9%	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)

bsearch27.0ms (2%)

Memory

14.8MiB live, 62.0MiB allocated; 1ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.8609804919706278e+21	8.788195109662393e+22
15.0ms	-1.7035092390151814e+44	-1.9916485841271626e+31

Samples

15.0ms

272×

valid

Compiler

Compiled 448 to 480 computations (-7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-pow2: 5.0ms (52.5% of total)

ival-fmax: 2.0ms (21% of total)

ival-sub!: 1.0ms (10.5% of total)

ival-add!: 1.0ms (10.5% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.8609804919706278e+21	8.788195109662393e+22
1.0ms	-1.7035092390151814e+44	-1.9916485841271626e+31

Compiler

Compiled 441 to 473 computations (-7.3% saved)

bsearch1.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.8609804919706278e+21	8.788195109662393e+22
1.0ms	-1.7035092390151814e+44	-1.9916485841271626e+31

Compiler

Compiled 424 to 456 computations (-7.5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0359716407166243e-151	4.386180460854821e-141

Compiler

Compiled 14 to 15 computations (-7.1% saved)

derivations89.0ms (6.5%)

Memory

3.3MiB live, 100.5MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 69 to 48 computations (30.4% saved)

preprocess52.0ms (3.8%)

Memory: -19.4MiB live, 123.0MiB allocated; 13ms collecting garbage
Compiler: Compiled 80 to 58 computations (27.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze87.0ms (6.3%)

sample518.0ms (37.8%)

preprocess74.0ms (5.4%)

series5.0ms (0.4%)

rewrite175.0ms (12.8%)

eval63.0ms (4.6%)

prune7.0ms (0.5%)

series4.0ms (0.3%)

rewrite109.0ms (7.9%)

eval4.0ms (0.3%)

prune2.0ms (0.2%)

series6.0ms (0.4%)

rewrite105.0ms (7.7%)

eval5.0ms (0.4%)

prune4.0ms (0.3%)

regimes8.0ms (0.6%)

regimes7.0ms (0.5%)

regimes2.0ms (0.2%)

regimes3.0ms (0.3%)

regimes5.0ms (0.4%)

regimes3.0ms (0.2%)

bsearch27.0ms (2%)

bsearch2.0ms (0.1%)

bsearch1.0ms (0.1%)

bsearch0.0ms (0%)

derivations89.0ms (6.5%)

preprocess52.0ms (3.8%)

end0.0ms (0%)

Profiling