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

start0.0ms (0.0%)

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

analyze88.0ms (6.1%)

Memory

-10.2MiB live, 218.2MiB allocated; 58ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	1
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	2
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	3
12.5%	12.5%	87.4%	0.1%	0.0%	0.0%	0.0%	4
31.3%	31.2%	68.7%	0.1%	0.0%	0.0%	0.0%	5
31.3%	31.2%	68.7%	0.1%	0.0%	0.0%	0.0%	6
37.5%	37.5%	62.4%	0.1%	0.0%	0.0%	0.0%	7
51.6%	51.5%	48.4%	0.1%	0.0%	0.0%	0.0%	8
67.2%	67.1%	32.8%	0.1%	0.0%	0.0%	0.0%	9
74.6%	74.5%	25.4%	0.1%	0.0%	0.0%	0.0%	10
83.2%	83.1%	16.8%	0.1%	0.0%	0.0%	0.0%	11
87.0%	86.9%	13.0%	0.1%	0.0%	0.0%	0.0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample688.0ms (47.7%)

Memory

29.0MiB live, 1 862.0MiB allocated; 332ms collecting garbage

Samples

471.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-pow2: 162.0ms (72.6% of total)

ival-sub!: 34.0ms (15.2% of total)

ival-add!: 18.0ms (8.1% of total)

ival-fmax: 7.0ms (3.1% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess57.0ms (4.0%)

Memory

-3.6MiB live, 53.0MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	88
1	71	84
2	168	84
3	319	84
4	432	84
5	1023	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))

Symmetry

(sort x y)

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2
1/2

Outputs
#s(literal 2 binary64)
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series11.0ms (0.8%)

Memory

32.6MiB live, 32.6MiB 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
y
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
x
(pow.f64 x #s(literal 2 binary64))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(-.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)
(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
#s(approx x x)
#s(approx (pow x 2) (pow.f64 x #s(literal 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 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 (fmax x y) (fmax.f64 x y))
#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)) (*.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)) (-.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 y y)
#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 (+ (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))))))
#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)))))))

Calls

6 calls:

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

rewrite161.0ms (11.1%)

Memory

-15.3MiB live, 313.8MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
0	16	42
1	74	42
2	212	42
3	649	42
4	1204	42
5	2193	42
0	4115	37

Stop Event

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

Counts

10 → 326

Calls

Call 1

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

eval45.0ms (3.1%)

Memory: -0.8MiB live, 142.1MiB allocated; 19ms collecting garbage
Compiler: Compiled 6 778 to 1 568 computations (76.9% saved)

prune5.0ms (0.4%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	330	2	332
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	331	2	333

Accuracy

100.0%

Counts

333 → 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))
▶	100.0%	(fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 22 to 14 computations (36.4% saved)

sample0.0ms (0.0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1/2

Outputs
#s(literal -1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series9.0ms (0.6%)

Memory

-19.5MiB live, 27.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	197

Stop Event

1×	iter-limit

Counts

10 → 14

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (+ (* x x) (+ (* y y) -1/2)) (-.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* x x) (+ (* y y) -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 (fmax x y) (fmax.f64 x y))
#s(approx (fmax (+ (* x x) (+ (* y y) -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 (+ (* 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) (+ (* y y) -1/2)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) (+ (* y y) -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) -1/2) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) -1/2) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (+ (* y y) -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
3.0ms	y	0
1.0ms	y	inf
1.0ms	x	inf
1.0ms	y	-inf
1.0ms	x	-inf

rewrite137.0ms (9.5%)

Memory

-33.7MiB live, 256.7MiB allocated; 91ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	19	50
1	105	50
2	353	50
3	1246	50
4	2019	50
0	4059	50

Stop Event

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

Counts

10 → 165

Calls

Call 1

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

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

eval16.0ms (1.1%)

Memory: 3.0MiB live, 49.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 571 to 517 computations (79.9% saved)

prune7.0ms (0.5%)

Memory

-31.4MiB live, 14.8MiB allocated; 6ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	0	0
Picked	2	0	2
Done	-1	1	0
Total	117	2	119

Accuracy

100.0%

Counts

119 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.6%	(fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
✓	100.0%	(fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 25 to 17 computations (32.0% saved)

sample0.0ms (0.0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1/2

Outputs
#s(literal -1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series6.0ms (0.4%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	179

Stop Event

1×	iter-limit

Counts

7 → 13

Calls

Call 1

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

Outputs
#s(approx x x)
#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 (+ (* 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 (fmax x y) (fmax.f64 x y))
#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 (+ (* x x) -1/2) (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) (+ (* 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 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	x	inf
0.0ms	x	-inf
0.0ms	y	-inf
0.0ms	y	inf
0.0ms	x	0

rewrite100.0ms (6.9%)

Memory

28.5MiB live, 172.1MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
0	13	37
1	65	37
2	181	37
3	597	37
4	1088	37
5	3881	37
0	4005	34

Stop Event

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

Counts

7 → 30

Calls

Call 1

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

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

eval7.0ms (0.5%)

Memory: -28.4MiB live, 17.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 931 to 160 computations (82.8% saved)

prune2.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	1	0	1
Done	-1	2	1
Total	36	2	38

Accuracy

100.0%

Counts

38 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.6%	(fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
✓	100.0%	(fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 25 to 17 computations (32.0% saved)

regimes20.0ms (1.4%)

Memory

16.6MiB live, 63.3MiB allocated; 6ms collecting garbage

Counts

1 → 1

2 → 1

4 → 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 x x (fma.f64 y y #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))

Call 3

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
64.6%	1	`(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))`
64.6%	1	`x`
64.6%	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`
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 94 to 65 computations (30.9% saved)

derivations34.0ms (2.4%)

Memory

-4.1MiB live, 45.7MiB allocated; 11ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 36 to 16 computations (55.6% saved)

preprocess48.0ms (3.3%)

Memory: -13.2MiB live, 78.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 133 to 76 computations (42.9% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze88.0ms (6.1%)

sample688.0ms (47.7%)

preprocess57.0ms (4.0%)

sample0.0ms (0.0%)

series11.0ms (0.8%)

rewrite161.0ms (11.1%)

eval45.0ms (3.1%)

prune5.0ms (0.4%)

sample0.0ms (0.0%)

series9.0ms (0.6%)

rewrite137.0ms (9.5%)

eval16.0ms (1.1%)

prune7.0ms (0.5%)

sample0.0ms (0.0%)

series6.0ms (0.4%)

rewrite100.0ms (6.9%)

eval7.0ms (0.5%)

prune2.0ms (0.1%)

regimes20.0ms (1.4%)

derivations34.0ms (2.4%)

preprocess48.0ms (3.3%)

end0.0ms (0.0%)

Profiling