Metrics for Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 7 to 6 computations (14.3% saved)

sample569.0ms (54.9%)

Memory

-16.0MiB live, 643.3MiB allocated; 154ms collecting garbage

Samples

356.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult!: 50.0ms (71% of total)

ival-sub!: 19.0ms (27% of total)

adjust: 2.0ms (2.8% of total)

Bogosity

explain77.0ms (7.5%)

Memory

13.5MiB live, 69.6MiB allocated; 7ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 x (*.f64 y y))`
-	-	`y`
-	-	`(*.f64 y y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

16.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult!: 3.0ms (69% of total)

ival-sub!: 1.0ms (23% of total)

adjust: 0.0ms (0% of total)

preprocess33.0ms (3.2%)

Memory

-18.2MiB live, 27.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	33	34
2	87	32
3	146	32
4	192	32
0	4	5
0	6	5
1	12	5
2	33	5
3	59	5
4	74	5
0	74	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (*.f64 y y))

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

Symmetry

(abs y)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (*.f64 y y))

Compiler

Compiled 5 to 4 computations (20% saved)

series3.0ms (0.3%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

4 → 10

Calls

Call 1

Inputs
(-.f64 x (*.f64 y y))
x
(*.f64 y y)
y

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- x (* y y)) x (* y y) y)
1.0ms	y	@	inf	((- x (* y y)) x (* y y) y)
1.0ms	y	@	-inf	((- x (* y y)) x (* y y) y)
0.0ms	x	@	inf	((- x (* y y)) x (* y y) y)
0.0ms	y	@	0	((- x (* y y)) x (* y y) y)

rewrite53.0ms (5.2%)

Memory

24.7MiB live, 69.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	116
0	35	111
1	139	109
0	1097	109

Stop Event

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

Counts

14 → 66

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 (neg.f64 y) y) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (*.f64 y y) x (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 (neg.f64 x) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (fma.f64 (*.f64 y y) x (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (*.f64 #s(literal -1 binary64) y) y x)
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) x)
(fma.f64 (neg.f64 y) y x)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1 binary64)) x)
(fma.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y)) x)
(fma.f64 (*.f64 y y) #s(literal -1 binary64) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y y) x)
(fma.f64 y (*.f64 y #s(literal -1 binary64)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y y x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (.f64 y y) x (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x x (fma.f64 (.f64 y y) x (pow.f64 y #s(literal 4 binary64))))))
(-.f64 x (.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) y))
(-.f64 x (*.f64 y y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (.f64 y y) x (pow.f64 y #s(literal 4 binary64))))) (/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (fma.f64 (.f64 y y) x (pow.f64 y #s(literal 4 binary64))))))
(+.f64 (*.f64 (neg.f64 y) y) x)
(+.f64 x (*.f64 (neg.f64 y) y))
x
(.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) (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) y) (*.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
#s(approx (- x (* y y)) (fma.f64 (neg.f64 y) y x))
#s(approx x x)
#s(approx (- x (* y y)) x)
#s(approx (- x (* y y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) x))
#s(approx (- x (* y y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) x))
#s(approx (- x (* y y)) (fma.f64 (neg.f64 y) y x))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (- x (* y y)) (.f64 (.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y))

eval16.0ms (1.5%)

Memory: -18.1MiB live, 26.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 620 to 160 computations (74.2% saved)

prune3.0ms (0.3%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	3	67

Accuracy

100.0%

Counts

67 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (neg.f64 y) y x)
▶	54.4%	#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
▶	47.9%	#s(approx (- x (* y y)) x)

Compiler

Compiled 22 to 16 computations (27.3% saved)

series7.0ms (0.7%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

7 → 17

Calls

Call 1

Inputs
#s(approx (- x (* y y)) x)
x
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 (neg.f64 y) y x)

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

Calls

6 calls:

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

rewrite84.0ms (8.1%)

Memory

-11.4MiB live, 42.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	227
0	50	215
1	168	211
0	1194	211

Stop Event

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

Counts

24 → 66

Calls

Call 1

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

Outputs
#s(approx (- x (* y y)) x)
x
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal -1 binary64)))
(*.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y)))
(.f64 (.f64 y y) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) y)
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
y
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (neg.f64 y) y) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (fma.f64 y y x) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y x) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 (neg.f64 y) y) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (fma.f64 y y x) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y x) (.f64 x x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1 binary64)) x)
(fma.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y)) x)
(fma.f64 (*.f64 y y) #s(literal -1 binary64) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y y) x)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) x)
(fma.f64 (neg.f64 y) y x)
(fma.f64 y (neg.f64 y) x)
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y x) (.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y y x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (neg.f64 y) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (neg.f64 y) y) x)))
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) y))
(-.f64 x (*.f64 y y))
(+.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (fma.f64 y y x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y x) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y x) (.f64 x x))) (/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y x) (.f64 x x))))
(+.f64 (*.f64 (neg.f64 y) y) x)
(+.f64 x (*.f64 (neg.f64 y) y))
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
#s(approx (- x (* y y)) (fma.f64 (neg.f64 y) y x))
#s(approx x x)
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
#s(approx (- x (* y y)) (fma.f64 (neg.f64 y) y x))
#s(approx (- x (* y y)) x)
#s(approx (- x (* y y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) x))
#s(approx (- x (* y y)) x)
#s(approx (- x (* y y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) x))
#s(approx (- x (* y y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) x))
#s(approx (- x (* y y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) x))
#s(approx (- x (* y y)) (fma.f64 (neg.f64 y) y x))
#s(approx (* (neg y) y) (*.f64 (neg.f64 y) y))
#s(approx (neg y) (neg.f64 y))
#s(approx y y)
#s(approx (- x (* y y)) (.f64 (.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y))
#s(approx (- x (* y y)) (.f64 (.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y))

eval12.0ms (1.1%)

Memory: 14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 760 to 140 computations (81.6% saved)

prune32.0ms (3.1%)

Memory

-37.2MiB live, 8.7MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	68	3	71

Accuracy

100.0%

Counts

71 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 y) y x)
✓	54.4%	#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
✓	47.9%	#s(approx (- x (* y y)) x)

Compiler

Compiled 49 to 27 computations (44.9% saved)

regimes14.0ms (1.3%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- x (* y y)) x)
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
(-.f64 x (*.f64 y y))
(fma.f64 (neg.f64 y) y x)

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

Calls

4 calls:

3.0ms	x
3.0ms	y
3.0ms	(*.f64 y y)
3.0ms	(-.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y y)`
100.0%	1	`(-.f64 x (*.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes12.0ms (1.1%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- x (* y y)) x)
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
(-.f64 x (*.f64 y y))

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

Calls

4 calls:

3.0ms	x
3.0ms	y
3.0ms	(*.f64 y y)
3.0ms	(-.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y y)`
100.0%	1	`(-.f64 x (*.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (0.9%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- x (* y y)) x)
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))

Outputs
#s(approx (- x (* y y)) x)
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))

Calls

4 calls:

2.0ms	x
2.0ms	y
2.0ms	(*.f64 y y)
2.0ms	(-.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
88.5%	2	`(*.f64 y y)`
80.5%	4	`(-.f64 x (*.f64 y y))`
69.0%	3	`x`
88.5%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes13.0ms (1.2%)

Memory

-30.8MiB live, 13.7MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (* y y)) x)

Outputs
#s(approx (- x (* y y)) x)

Calls

4 calls:

7.0ms	y
2.0ms	x
2.0ms	(*.f64 y y)
2.0ms	(-.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
47.9%	1	`x`
47.9%	1	`(-.f64 x (*.f64 y y))`
47.9%	1	`(*.f64 y y)`
47.9%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch6.0ms (0.6%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	4.590779497716469e+21	6.587559437058769e+21

Samples

2.0ms

48×

valid

Compiler

Compiled 59 to 51 computations (13.6% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

simplify18.0ms (1.7%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	27	38
2	53	38
3	80	38
4	95	38

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y) y x)
(-.f64 x (*.f64 y y))
(if (<=.f64 y #s(literal 4600000000000000000000 binary64)) #s(approx (- x (* y y)) x) #s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)))
#s(approx (- x (* y y)) x)

Outputs
(fma.f64 (neg.f64 y) y x)
(-.f64 x (*.f64 y y))
(if (<=.f64 y #s(literal 4600000000000000000000 binary64)) #s(approx (- x (* y y)) x) #s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)))
#s(approx (- x (* y y)) x)

derivations22.0ms (2.1%)

Memory

-23.8MiB live, 18.5MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 38 to 14 computations (63.2% saved)

preprocess51.0ms (5%)

Memory: -12.8MiB live, 82.2MiB allocated; 15ms collecting garbage
Remove: (abs y)
Compiler: Compiled 162 to 84 computations (48.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample569.0ms (54.9%)

explain77.0ms (7.5%)

preprocess33.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.3%)

rewrite53.0ms (5.2%)

eval16.0ms (1.5%)

prune3.0ms (0.3%)

series7.0ms (0.7%)

rewrite84.0ms (8.1%)

eval12.0ms (1.1%)

prune32.0ms (3.1%)

regimes14.0ms (1.3%)

regimes12.0ms (1.1%)

regimes10.0ms (0.9%)

regimes13.0ms (1.2%)

bsearch6.0ms (0.6%)

simplify18.0ms (1.7%)

derivations22.0ms (2.1%)

preprocess51.0ms (5%)

end0.0ms (0%)

Profiling