Metrics for Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample699.0ms (10.9%)

Memory

33.9MiB live, 1 673.3MiB allocated; 316ms collecting garbage

Samples

441.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-mult!: 165.0ms (85.9% of total)

ival-add!: 25.0ms (13% of total)

adjust: 2.0ms (1% of total)

Bogosity

preprocess61.0ms (1%)

Memory

-1.0MiB live, 45.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	80	42
2	295	42
3	678	42
4	3104	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Counts

6 → 10

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y

Outputs
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* x (+ 1 (* y y))) x (+ 1 (* y y)) 1 (* y y) y)
1.0ms	x	@	inf	((* x (+ 1 (* y y))) x (+ 1 (* y y)) 1 (* y y) y)
1.0ms	x	@	0	((* x (+ 1 (* y y))) x (+ 1 (* y y)) 1 (* y y) y)
1.0ms	y	@	inf	((* x (+ 1 (* y y))) x (+ 1 (* y y)) 1 (* y y) y)
1.0ms	y	@	-inf	((* x (+ 1 (* y y))) x (+ 1 (* y y)) 1 (* y y) y)

rewrite155.0ms (2.4%)

Memory

-16.4MiB live, 168.6MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	128
0	34	118
1	151	118
0	1259	104
1	3542	104

Stop Event

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

Counts

16 → 108

Calls

Call 1

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

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

eval9.0ms (0.1%)

Memory: 41.3MiB live, 41.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 510 to 268 computations (47.5% saved)

prune5.0ms (0.1%)

Memory

-32.6MiB live, 11.9MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	4	101

Accuracy

99.9%

Counts

101 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(fma.f64 (*.f64 y y) x x)
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	49.0%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	48.4%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Compiler

Compiled 25 to 25 computations (0% saved)

series8.0ms (0.1%)

Memory

34.0MiB live, 34.0MiB allocated; 0ms collecting garbage

Counts

11 → 12

Calls

Call 1

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

Outputs
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (pow y 2)) 1)))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (+ (* (* x y) y) x) (* x y) (+ (* (* y y) x) x))
2.0ms	x	@	-inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (+ (* (* x y) y) x) (* x y) (+ (* (* y y) x) x))
1.0ms	y	@	-inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (+ (* (* x y) y) x) (* x y) (+ (* (* y y) x) x))
1.0ms	y	@	inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (+ (* (* x y) y) x) (* x y) (+ (* (* y y) x) x))
1.0ms	x	@	0	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (+ (* (* x y) y) x) (* x y) (+ (* (* y y) x) x))

rewrite5.1s (79.5%)

Memory

-409.9MiB live, 621.1MiB allocated; 5.5s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	188
0	52	166
1	235	166
0	1593	159
1	4833	159

Stop Event

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

Counts

23 → 163

Calls

Call 1

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

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

eval21.0ms (0.3%)

Memory: -13.3MiB live, 41.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 640 to 280 computations (56.3% saved)

prune5.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	134	4	138

Accuracy

99.9%

Counts

138 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.1%	(fma.f64 (*.f64 y y) x x)
✓	49.0%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	48.4%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
▶	54.2%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 30 to 30 computations (0% saved)

series23.0ms (0.4%)

Memory

-22.9MiB live, 21.4MiB allocated; 4ms collecting garbage

Counts

5 → 7

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
(.f64 (.f64 y x) y)
(*.f64 y x)
y
x

Outputs
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (* (* y x) y) #s(hole binary64 (* x (pow y 2))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx y #s(hole binary64 y))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) y x)
1.0ms	x	@	-inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) y x)
1.0ms	y	@	-inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) y x)
1.0ms	y	@	inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) y x)
1.0ms	x	@	inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) y x)

rewrite70.0ms (1.1%)

Memory

-1.0MiB live, 90.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	96
0	30	96
1	119	96
0	932	89
1	2862	89

Stop Event

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

Counts

12 → 20

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
(.f64 (.f64 y x) y)
(*.f64 y x)
y
x
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (* (* y x) y) #s(hole binary64 (* x (pow y 2))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx y #s(hole binary64 y))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))

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

eval1.0ms (0%)

Memory: 5.0MiB live, 4.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 71 to 54 computations (23.9% saved)

prune2.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	13	4	17

Accuracy

99.9%

Counts

17 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.1%	(fma.f64 (*.f64 y y) x x)
✓	49.0%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	48.4%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	54.2%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes20.0ms (0.3%)

Memory

-4.7MiB live, 50.3MiB allocated; 6ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs
(fma.f64 (*.f64 x y) y x)

Calls

5 calls:

11.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	x
2.0ms	y
2.0ms	(*.f64 y y)
2.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 y y)`
99.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.9%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 14 to 18 computations (-28.6% saved)

regimes62.0ms (1%)

Memory

-14.7MiB live, 30.2MiB allocated; 4ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Outputs
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Calls

5 calls:

56.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	x
1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
98.4%	2	`(*.f64 y y)`
98.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
79.4%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
59.4%	3	`x`
98.4%	2	`y`

Compiler

Compiled 14 to 18 computations (-28.6% saved)

regimes5.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Outputs
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Calls

5 calls:

1.0ms	y
1.0ms	x
1.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
1.0ms	(*.f64 y y)
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
49.0%	1	`x`
49.0%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
49.0%	1	`(*.f64 y y)`
49.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
49.0%	1	`y`

Compiler

Compiled 14 to 18 computations (-28.6% saved)

bsearch79.0ms (1.2%)

Memory

-7.6MiB live, 36.4MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
78.0ms	0.10003494722849415	93.38689057677414

Samples

73.0ms

128×

valid

Compiler

Compiled 146 to 163 computations (-11.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult!: 1.0ms (69.2% of total)

adjust: 0.0ms (0% of total)

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

derivations27.0ms (0.4%)

Memory

21.7MiB live, 65.9MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 19 to 16 computations (15.8% saved)

preprocess55.0ms (0.9%)

Memory

2.6MiB live, 151.3MiB allocated; 29ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 175 to 154 computations (12% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample699.0ms (10.9%)

preprocess61.0ms (1%)

series5.0ms (0.1%)

rewrite155.0ms (2.4%)

eval9.0ms (0.1%)

prune5.0ms (0.1%)

series8.0ms (0.1%)

rewrite5.1s (79.5%)

eval21.0ms (0.3%)

prune5.0ms (0.1%)

series23.0ms (0.4%)

rewrite70.0ms (1.1%)

eval1.0ms (0%)

prune2.0ms (0%)

regimes20.0ms (0.3%)

regimes62.0ms (1%)

regimes5.0ms (0.1%)

bsearch79.0ms (1.2%)

derivations27.0ms (0.4%)

preprocess55.0ms (0.9%)

end0.0ms (0%)

Profiling