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

start0.0ms (0%)

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

analyze90.0ms (5.9%)

Memory

17.5MiB live, 161.5MiB allocated; 32ms 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)

sample806.0ms (52.4%)

Memory

32.2MiB live, 1 199.9MiB allocated; 229ms collecting garbage

Samples

535.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-pow2: 176.0ms (64.1% of total)

ival-sub: 41.0ms (14.9% of total)

ival-add: 39.0ms (14.2% of total)

ival-fmax: 9.0ms (3.3% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain129.0ms (8.4%)

Memory

-3.4MiB live, 201.3MiB allocated; 23ms collecting garbage

FPErrors

Click to see full error table

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

42.0ms

512×

valid

Compiler

Compiled 101 to 34 computations (66.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-pow2: 11.0ms (48.7% of total)

ival-fmax: 6.0ms (26.5% of total)

ival-sub: 3.0ms (13.3% of total)

ival-add: 2.0ms (8.8% of total)

exact: 1.0ms (4.4% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess282.0ms (18.3%)

Memory

17.1MiB live, 161.9MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	88
1	44	84
2	88	84
3	163	84
4	222	84
5	360	84
6	883	84
7	5953	84
0	10	13
0	16	13
1	23	13
2	45	13
3	101	13
4	201	13
5	336	13
6	833	13
7	5603	13
0	8964	11

Stop Event

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

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))

Outputs

(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))

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(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 13 to 10 computations (23.1% saved)

series8.0ms (0.5%)

Memory

-37.7MiB live, 7.7MiB allocated; 4ms collecting garbage

Counts

10 → 18

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))
1.0ms	x	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))
1.0ms	x	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))
1.0ms	y	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))
1.0ms	y	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))

rewrite82.0ms (5.3%)

Memory

40.3MiB live, 85.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	312
0	61	308
1	240	300
0	1950	263

Stop Event

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

Counts

28 → 134

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

Outputs
(fmax.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1 binary64) (.f64 y y) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1 binary64) (.f64 y y) #s(literal -1/2 binary64)))) (-.f64 (.f64 x x) (fma.f64 #s(literal 1 binary64) (.f64 y y) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (-.f64 (.f64 y y) (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 1 binary64) (.f64 y y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (fabs.f64 (.f64 x x)) (fabs.f64 (.f64 x x)) (-.f64 (.f64 (fma.f64 #s(literal 1 binary64) (.f64 y y) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1 binary64) (.f64 y y) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (fabs.f64 (.f64 y y)) (fabs.f64 (.f64 y y)) (-.f64 (.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 y y) (fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1 binary64) (.f64 y y) (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) (fma.f64 (.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1 binary64) (.f64 y y) (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) (fma.f64 (.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/4 binary64))))
(fma.f64 (.f64 y #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) y) y (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (fma.f64 #s(literal 1 binary64) (.f64 y y) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (fma.f64 #s(literal 1 binary64) (.f64 y y) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (.f64 y y) #s(literal -1/2 binary64)))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 1 binary64) (.f64 y y) #s(literal -1/2 binary64)))
(fma.f64 x x (fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(fma.f64 y (.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 y y (fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (.f64 y y) (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1 binary64) (.f64 y y) (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) (fma.f64 (.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) (fma.f64 (.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/4 binary64)))))
(-.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 y y))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 x x))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) #s(literal -1/2 binary64))
(+.f64 (.f64 x x) (fma.f64 #s(literal 1 binary64) (.f64 y y) #s(literal -1/2 binary64)))
(+.f64 (.f64 y y) (fma.f64 #s(literal 1 binary64) (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) (pow.f64 (.f64 x x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (pow.f64 (.f64 y y) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y y) x) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y y) x) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) (pow.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (pow.f64 (.f64 y y) #s(literal 2 binary64))) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y y) x) x))))
(/.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y y) x) x))))
(fma.f64 (.f64 y #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) y) (*.f64 x x))
(fma.f64 (.f64 #s(literal 1 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (*.f64 y y))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 y y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 y y))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (.f64 x x))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 y (.f64 y #s(literal 1 binary64)) (.f64 x x))
(fma.f64 y y (*.f64 x x))
(-.f64 (/.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y y) x) x)))) (/.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y y) x) x)))))
(+.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y y) x) x)))) (/.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y y) x) x)))))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x x))
(.f64 (.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 y (.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 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))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(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(literal 2 binary64)
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 1/2 binary64)
(fmax.f64 x y)
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (fmax.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64)))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y))
#s(approx (+ (pow y 2) (pow x 2)) (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y)))
#s(approx (pow x 2) (*.f64 x x))
#s(approx x x)
#s(approx (fmax x y) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (.f64 x x)))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x))
#s(approx (+ (pow y 2) (pow x 2)) (.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (pow y 2) (*.f64 y y))
#s(approx y y)
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (.f64 y y)))
#s(approx (+ (pow y 2) (pow x 2)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 (.f64 y y) #s(literal 2 binary64))) (*.f64 y y)))

eval36.0ms (2.3%)

Memory: -4.3MiB live, 50.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 811 to 524 computations (81.4% saved)

prune51.0ms (3.3%)

Memory

-19.6MiB live, 71.4MiB allocated; 9ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	1	140

Accuracy

100.0%

Counts

140 → 1

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)

simplify38.0ms (2.5%)

Memory

-8.8MiB live, 36.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	14	13
2	21	13
3	28	13
4	60	13
5	380	13
6	3478	13

Stop Event

1×	node limit

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))

Outputs

(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))

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

derivations0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 15 to 12 computations (20% saved)

preprocess16.0ms (1%)

Memory: 25.7MiB live, 25.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 56 to 44 computations (21.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze90.0ms (5.9%)

sample806.0ms (52.4%)

explain129.0ms (8.4%)

preprocess282.0ms (18.3%)

eval0.0ms (0%)

prune1.0ms (0%)

series8.0ms (0.5%)

rewrite82.0ms (5.3%)

eval36.0ms (2.3%)

prune51.0ms (3.3%)

simplify38.0ms (2.5%)

derivations0.0ms (0%)

preprocess16.0ms (1%)

end0.0ms (0%)

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