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

start0.0ms (0%)

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

analyze65.0ms (3.2%)

Memory

15.3MiB live, 109.9MiB allocated; 4ms 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)

sample527.0ms (26.3%)

Memory

14.4MiB live, 820.5MiB allocated; 78ms collecting garbage

Samples

350.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-pow2: 130.0ms (75.8% of total)

ival-sub!: 17.0ms (9.9% of total)

ival-add!: 15.0ms (8.7% of total)

ival-fmax: 8.0ms (4.7% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess71.0ms (3.5%)

Memory

-21.2MiB live, 25.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	88
1	65	84
2	160	84
3	306	84
4	417	84
5	1008	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)

series139.0ms (6.9%)

Memory

14.7MiB live, 108.9MiB allocated; 5ms collecting garbage

Counts

10 → 14

Calls

Call 1

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

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

rewrite194.0ms (9.7%)

Memory

-11.7MiB live, 184.8MiB allocated; 27ms collecting garbage

Counts

10 → 54

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

eval7.0ms (0.3%)

Memory: 14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 956 to 227 computations (76.3% saved)

prune2.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	1	62

Accuracy

100.0%

Counts

62 → 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)

series133.0ms (6.6%)

Memory

16.6MiB live, 111.5MiB allocated; 19ms collecting garbage

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
1.0ms	y	inf
0.0ms	x	0

rewrite335.0ms (16.7%)

Memory

-34.8MiB live, 390.9MiB allocated; 17ms collecting garbage

Counts

7 → 64

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 x x) (fma.f64 y y #s(literal -1/2 binary64)))
(+.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x))
(+.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 x x (*.f64 y y)) #s(literal -1/2 binary64))
(+.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 (fma.f64 y y #s(literal -1/2 binary64)) (neg.f64 (*.f64 x x)))
(-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (neg.f64 (*.f64 y y)))
(-.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))
(-.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 y y)))
(-.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 x x (*.f64 y y))))
(/.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 y 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 x) (neg.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 (neg.f64 y) (neg.f64 y) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal -1/4 binary64) #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))))
y
(neg.f64 (neg.f64 y))
(+.f64 (*.f64 x x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 x x))
(-.f64 (*.f64 x x) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x 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 (/.f64 #s(literal -1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/4 binary64) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))
x
(neg.f64 (neg.f64 x))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/4 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal -1/2 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) #s(literal 0 binary64))
(/.f64 #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) #s(literal 4 binary64))
(/.f64 #s(literal 2 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/4 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(neg.f64 #s(literal 1/2 binary64))
(fmax.f64 x y)

eval9.0ms (0.4%)

Memory: 18.0MiB live, 18.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 043 to 266 computations (74.5% saved)

prune3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	2	71

Accuracy

100.0%

Counts

71 → 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))
▶	70.2%	(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)

series149.0ms (7.4%)

Memory

-5.0MiB live, 89.3MiB allocated; 83ms collecting garbage

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
1.0ms	x	inf
1.0ms	x	-inf
0.0ms	y	-inf
0.0ms	y	inf
0.0ms	x	0

rewrite336.0ms (16.8%)

Memory

-1.3MiB live, 329.8MiB allocated; 15ms collecting garbage

Counts

7 → 26

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 (+ -1/2 (* x x)) #s(literal -1/2 binary64))) (fmax.f64 x y))
(fma.f64 y y #s(approx (+ -1/2 (* x x)) #s(literal -1/2 binary64)))
y
(neg.f64 (neg.f64 y))
#s(approx (+ -1/2 (* x x)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/4 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal -1/2 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) #s(literal 0 binary64))
(/.f64 #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) #s(literal 4 binary64))
(/.f64 #s(literal 2 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/4 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(neg.f64 #s(literal 1/2 binary64))
(fmax.f64 x y)
x
(neg.f64 (neg.f64 x))

eval4.0ms (0.2%)

Memory: 8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 627 to 154 computations (75.4% saved)

prune2.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	34	2	36

Accuracy

100.0%

Counts

36 → 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))
✓	70.2%	(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 (0.5%)

Memory

20.6MiB live, 20.6MiB 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	x
2.0ms	y
1.0ms	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))
1.0ms	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))
1.0ms	x

Results

Accuracy	Segments	Branch
70.2%	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))`
70.2%	1	`x`
70.2%	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)

derivations1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 25 to 13 computations (48% saved)

preprocess20.0ms (1%)

Memory: -10.6MiB live, 37.2MiB allocated; 3ms 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%)

analyze65.0ms (3.2%)

sample527.0ms (26.3%)

preprocess71.0ms (3.5%)

series139.0ms (6.9%)

rewrite194.0ms (9.7%)

eval7.0ms (0.3%)

prune2.0ms (0.1%)

series133.0ms (6.6%)

rewrite335.0ms (16.7%)

eval9.0ms (0.4%)

prune3.0ms (0.1%)

series149.0ms (7.4%)

rewrite336.0ms (16.8%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

regimes10.0ms (0.5%)

derivations1.0ms (0%)

preprocess20.0ms (1%)

end0.0ms (0%)

Profiling