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

start0.0ms (0%)

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

analyze72.0ms (5.4%)

Memory

-16.7MiB live, 75.1MiB allocated; 14ms 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)

sample569.0ms (42.7%)

Memory

20.7MiB live, 673.2MiB allocated; 148ms collecting garbage

Samples

362.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-pow2: 147.0ms (79.6% of total)

ival-sub!: 15.0ms (8.1% of total)

ival-add!: 15.0ms (8.1% of total)

ival-fmax: 6.0ms (3.2% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess438.0ms (32.9%)

Memory

-1.1MiB live, 45.8MiB 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	1008	84
6	7123	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 26 to 20 computations (23.1% saved)

series8.0ms (0.6%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	226

Stop Event

1×	iter-limit

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

Calls

6 calls:

Time	Variable	Point
1.0ms	x	inf
1.0ms	x	-inf
1.0ms	y	inf
1.0ms	x	0
1.0ms	y	-inf

rewrite50.0ms (3.8%)

Memory

7.3MiB live, 53.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
0	16	42
1	74	42
0	692	37

Stop Event

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

Counts

10 → 122

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

eval15.0ms (1.1%)

Memory: 25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 935 to 497 computations (83.1% saved)

prune8.0ms (0.6%)

Memory

-41.1MiB live, 5.2MiB allocated; 4ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	1	130

Accuracy

100.0%

Counts

130 → 1

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))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series5.0ms (0.4%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	182

Stop Event

1×	iter-limit

Counts

7 → 13

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	y	-inf
1.0ms	x	inf
1.0ms	x	-inf
0.0ms	y	inf
0.0ms	x	0

rewrite38.0ms (2.8%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	13	28
1	67	28
0	714	28

Stop Event

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

Counts

7 → 105

Calls

Call 1

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

eval13.0ms (1%)

Memory: 14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 413 to 427 computations (82.3% saved)

prune4.0ms (0.3%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	2	112

Accuracy

100.0%

Counts

112 → 2

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))
▶	72.4%	(fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 25 to 17 computations (32% saved)

series29.0ms (2.2%)

Memory

-33.6MiB live, 16.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	182

Stop Event

1×	iter-limit

Counts

7 → 13

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
10.0ms	x	0
1.0ms	y	-inf
1.0ms	x	inf
1.0ms	x	-inf
0.0ms	y	inf

rewrite38.0ms (2.8%)

Memory

-12.4MiB live, 32.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
0	13	37
1	65	37
0	575	34

Stop Event

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

Counts

7 → 50

Calls

Call 1

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

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

eval9.0ms (0.7%)

Memory: 15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 568 to 208 computations (86.7% saved)

prune2.0ms (0.2%)

Memory

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

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	55	2	57

Accuracy

100.0%

Counts

57 → 2

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))
✓	72.4%	(fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 25 to 17 computations (32% saved)

regimes10.0ms (0.7%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

3 → 1

Calls

Call 1

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

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

Call 2

Inputs

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

6 calls:

2.0ms	y
2.0ms	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))
1.0ms	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
72.4%	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))`
72.4%	1	`x`
72.4%	1	`y`
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 68 to 48 computations (29.4% saved)

derivations5.0ms (0.4%)

Memory

-42.6MiB live, 4.0MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 25 to 13 computations (48% saved)

preprocess18.0ms (1.4%)

Memory: 29.9MiB live, 29.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 38 to 23 computations (39.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze72.0ms (5.4%)

sample569.0ms (42.7%)

preprocess438.0ms (32.9%)

series8.0ms (0.6%)

rewrite50.0ms (3.8%)

eval15.0ms (1.1%)

prune8.0ms (0.6%)

series5.0ms (0.4%)

rewrite38.0ms (2.8%)

eval13.0ms (1%)

prune4.0ms (0.3%)

series29.0ms (2.2%)

rewrite38.0ms (2.8%)

eval9.0ms (0.7%)

prune2.0ms (0.2%)

regimes10.0ms (0.7%)

derivations5.0ms (0.4%)

preprocess18.0ms (1.4%)

end0.0ms (0%)

Profiling