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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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)

sample867.0ms (61.4%)

Memory

12.1MiB live, 990.4MiB allocated; 242ms collecting garbage

Samples

596.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-mult: 100.0ms (67.1% of total)

ival-sub: 38.0ms (25.5% of total)

ival-true: 6.0ms (4% of total)

ival-assert: 3.0ms (2% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

explain57.0ms (4%)

Memory

5.6MiB live, 96.5MiB allocated; 14ms 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

26.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (57.8% of total)

ival-sub: 2.0ms (28.9% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess16.0ms (1.1%)

Memory

34.5MiB live, 34.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	32	29
2	86	27
3	145	27
4	191	27
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

1.1MiB live, 1.1MiB 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 (0.2%)

Memory

7.9MiB live, 7.9MiB 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)

simplify112.0ms (7.9%)

Memory

-27.4MiB live, 161.5MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	91
1	67	91
2	195	91
3	775	91
4	2884	91
5	6554	91
0	8166	91

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

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

rewrite43.0ms (3%)

Memory

-9.5MiB live, 91.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	27	10
0	210	10

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 30

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 370 to 100 computations (73% saved)

prune2.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	3	40

Accuracy

100.0%

Counts

40 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (neg.f64 y) y x)
▶	52.4%	#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
▶	49.9%	#s(approx (- x (* y y)) x)

Compiler

Compiled 22 to 16 computations (27.3% saved)

series6.0ms (0.4%)

Memory

-29.9MiB live, 16.9MiB allocated; 3ms 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
3.0ms	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))
0.0ms	x	@	-inf	((- x (* y y)) x (- x (* y y)) (* (neg y) y) (neg y) y (+ (* (neg y) y) x))
0.0ms	x	@	inf	((- x (* y y)) x (- x (* y y)) (* (neg y) y) (neg y) y (+ (* (neg y) y) x))

simplify99.0ms (7%)

Memory

38.5MiB live, 182.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	165
1	80	165
2	208	165
3	867	165
4	3113	165
5	6415	165
0	8030	165

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

rewrite38.0ms (2.7%)

Memory

0.5MiB live, 91.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
0	12	30
1	43	30
0	317	30

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

7 → 35

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

eval21.0ms (1.5%)

Memory: -7.9MiB live, 46.8MiB allocated; 20ms collecting garbage
Compiler: Compiled 606 to 113 computations (81.4% saved)

prune6.0ms (0.4%)

Memory

-28.9MiB live, 17.1MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	53	3	56

Accuracy

100.0%

Counts

56 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 y) y x)
✓	52.4%	#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
✓	49.9%	#s(approx (- x (* y y)) x)

Compiler

Compiled 49 to 27 computations (44.9% saved)

regimes7.0ms (0.5%)

Memory

27.9MiB live, 27.9MiB 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:

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

regimes7.0ms (0.5%)

Memory

-21.4MiB live, 26.0MiB allocated; 1ms 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:

2.0ms	x
2.0ms	(-.f64 x (*.f64 y y))
2.0ms	y
1.0ms	(*.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)

regimes5.0ms (0.4%)

Memory

24.8MiB live, 24.8MiB 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:

1.0ms	x
1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(-.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
89.1%	2	`(*.f64 y y)`
81.7%	2	`(-.f64 x (*.f64 y y))`
64.9%	3	`x`
89.1%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.4%)

Memory

-26.2MiB live, 19.5MiB allocated; 2ms 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:

1.0ms	(-.f64 x (*.f64 y y))
1.0ms	x
1.0ms	y
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
49.9%	1	`x`
49.9%	1	`(-.f64 x (*.f64 y y))`
49.9%	1	`(*.f64 y y)`
49.9%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch12.0ms (0.9%)

Memory

-12.9MiB live, 43.2MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.147113190760843e-10	1.7657003760053104e-5

Samples

5.0ms

144×

valid

Compiler

Compiled 161 to 135 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (55.4% of total)

ival-mult: 1.0ms (55.4% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify14.0ms (1%)

Memory

-0.2MiB live, 44.5MiB allocated; 5ms 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 6989102394647075/37778931862957161709568 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 6989102394647075/37778931862957161709568 binary64)) #s(approx (- x (* y y)) x) #s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)))
#s(approx (- x (* y y)) x)

derivations64.0ms (4.5%)

Memory

5.5MiB live, 100.0MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 38 to 14 computations (63.2% saved)

preprocess22.0ms (1.5%)

Memory: 15.3MiB live, 66.7MiB allocated; 4ms collecting garbage
Remove: (abs y)
Compiler: Compiled 106 to 52 computations (50.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample867.0ms (61.4%)

explain57.0ms (4%)

preprocess16.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.2%)

simplify112.0ms (7.9%)

rewrite43.0ms (3%)

eval4.0ms (0.3%)

prune2.0ms (0.1%)

series6.0ms (0.4%)

simplify99.0ms (7%)

rewrite38.0ms (2.7%)

eval21.0ms (1.5%)

prune6.0ms (0.4%)

regimes7.0ms (0.5%)

regimes7.0ms (0.5%)

regimes5.0ms (0.4%)

regimes6.0ms (0.4%)

bsearch12.0ms (0.9%)

simplify14.0ms (1%)

derivations64.0ms (4.5%)

preprocess22.0ms (1.5%)

end0.0ms (0%)

Profiling