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

start0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze97.0ms (4.7%)

Memory

25.3MiB live, 148.6MiB 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)

sample962.0ms (46.4%)

Memory

5.3MiB live, 897.2MiB allocated; 798ms collecting garbage

Samples

430.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-pow2: 143.0ms (61.1% of total)

ival-sub: 42.0ms (17.9% of total)

ival-add: 33.0ms (14.1% of total)

ival-fmax: 7.0ms (3% of total)

exact: 4.0ms (1.7% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain120.0ms (5.8%)

Memory

-8.9MiB live, 184.1MiB allocated; 20ms 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

38.0ms

512×

valid

Compiler

Compiled 101 to 34 computations (66.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-pow2: 10.0ms (46.1% of total)

ival-fmax: 5.0ms (23.1% of total)

ival-sub: 3.0ms (13.8% of total)

ival-add: 2.0ms (9.2% of total)

exact: 1.0ms (4.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess295.0ms (14.2%)

Memory

34.6MiB live, 176.5MiB allocated; 23ms 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 (fma.f64 x x (fma.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, 0.1MiB 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 (0.4%)

Memory

-35.3MiB live, 9.4MiB allocated; 5ms 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
4.0ms	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	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	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))

rewrite120.0ms (5.8%)

Memory

-2.7MiB live, 107.1MiB allocated; 81ms 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 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 y y #s(literal -1/2 binary64)) (fma.f64 y y #s(literal -1/2 binary64)))) (-.f64 (.f64 x x) (fma.f64 y y #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1/2 binary64)))) (-.f64 (.f64 y y) (fma.f64 x x #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 y y #s(literal -1/2 binary64)) (fma.f64 y y #s(literal -1/2 binary64))) (.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 x x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1/2 binary64))) (.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 y y (fma.f64 x x #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 y y (fma.f64 x x #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64))))
(fma.f64 (.f64 y #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) y) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) y) y (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 y #s(literal 1 binary64)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y y (fma.f64 x x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 y y (fma.f64 x x #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 y y (fma.f64 x x #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))))
(-.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64))
(+.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y))
(+.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x))
(+.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1/2 binary64))
(+.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(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 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 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 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.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 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.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 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 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x))
#s(approx (+ (pow y 2) (pow x 2)) (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.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 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (.f64 y y)) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (+ (pow y 2) (pow x 2)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (.f64 y y)))

eval19.0ms (0.9%)

Memory: -14.3MiB live, 30.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 444 to 509 computations (79.2% saved)

prune3.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	4	140

Accuracy

100.0%

Counts

140 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fmax.f64 (fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
▶	68.9%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))
▶	61.7%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
▶	61.3%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

Compiler

Compiled 63 to 44 computations (30.2% saved)

series6.0ms (0.3%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

16 → 29

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite88.0ms (4.3%)

Memory

6.3MiB live, 95.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	553
0	94	555
1	321	479
0	2692	477

Stop Event

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

Counts

45 → 155

Calls

Call 1

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

Outputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(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
(fmax.f64 x y)
y
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 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 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))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(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))))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 y y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y y)))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 y) (fabs.f64 y) #s(literal -1/2 binary64))
(fma.f64 y y #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y y #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 y y) #s(literal 1/2 binary64))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 y y #s(literal -1/2 binary64)) (fma.f64 y y #s(literal -1/2 binary64)))) (-.f64 (.f64 x x) (fma.f64 y y #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 y y #s(literal -1/2 binary64)) (fma.f64 y y #s(literal -1/2 binary64))) (.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x x (.f64 y y)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1/2 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal -1/2 binary64)) (-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 y y #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal -1/2 binary64)) (.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 x x #s(literal -1/2 binary64)) (-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (fma.f64 y y #s(literal 1/2 binary64)) (.f64 x x))) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 y y #s(literal 1/2 binary64)) (.f64 x x))))
(-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) y))
(-.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal -1/2 binary64)) (-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x #s(literal -1/2 binary64)) (-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y))
(+.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x))
(+.f64 #s(literal -1/2 binary64) (fma.f64 x x (*.f64 y y)))
(+.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1/2 binary64))
(+.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 x x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 x x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 x x #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) #s(literal 1/2 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1/2 binary64))
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (fmax x y) (fmax.f64 x y))
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))))
#s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* x x) -1/2) (fma.f64 x x #s(literal -1/2 binary64)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* x x) -1/2) (*.f64 x x))
#s(approx (+ (* x x) -1/2) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) x))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64)))
#s(approx y y)
#s(approx (* y y) (*.f64 y y))
#s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* y y) -1/2) (fma.f64 y y #s(literal -1/2 binary64)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (.f64 y y)) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (+ (* y y) -1/2) (*.f64 y y))
#s(approx (+ (* y y) -1/2) (.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (.f64 y y)) #s(literal 1 binary64)) (*.f64 y y)))

eval26.0ms (1.3%)

Memory: -13.8MiB live, 40.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 3 617 to 547 computations (84.9% saved)

prune7.0ms (0.3%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	183	4	187

Accuracy

100.0%

Counts

187 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.9%	(fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fmax.f64 x y))
✓	61.7%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
✓	61.3%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
▶	31.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 71 to 50 computations (29.6% saved)

series4.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

11 → 28

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax x y) x y (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2) (* x x))
1.0ms	x	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax x y) x y (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2) (* x x))
1.0ms	y	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax x y) x y (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2) (* x x))
1.0ms	y	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax x y) x y (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2) (* x x))
0.0ms	x	@	0	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax x y) x y (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2) (* x x))

rewrite89.0ms (4.3%)

Memory

-12.2MiB live, 77.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	531
0	80	519
1	318	503
0	2783	433

Stop Event

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

Counts

39 → 71

Calls

Call 1

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

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

eval9.0ms (0.4%)

Memory: 15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 656 to 243 computations (85.3% saved)

prune5.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	75	4	79

Accuracy

100.0%

Counts

79 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.9%	(fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fmax.f64 x y))
✓	61.7%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
✓	61.3%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
✓	31.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 184 to 90 computations (51.1% saved)

regimes10.0ms (0.5%)

Memory

-30.3MiB live, 15.0MiB allocated; 4ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
3.0ms	x
2.0ms	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes7.0ms (0.3%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

(fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fmax.f64 x y))

Calls

3 calls:

2.0ms	x
2.0ms	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	2	`(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))`
100.0%	3	`x`
90.9%	1	`y`

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes4.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))

Results

Accuracy	Segments	Branch
94.4%	3	`x`
68.9%	1	`(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))`

Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes4.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
84.3%	3	`y`
87.2%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes10.0ms (0.5%)

Memory

-40.6MiB live, 13.7MiB allocated; 6ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

7.0ms	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
69.2%	2	`(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))`
61.3%	1	`y`
69.2%	3	`x`

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes3.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
31.8%	1	`y`
31.8%	1	`x`
31.8%	1	`(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))`

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.326312451451472e-81	2.6349251758559324e-72

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch40.0ms (1.9%)

Memory

14.0MiB live, 56.6MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1108655572.3442452	2.350551414365006e+23
14.0ms	-1.4302077709116193e+95	-6.856724894239356e+87

Samples

24.0ms

304×

valid

Compiler

Compiled 681 to 527 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-pow2: 11.0ms (62.7% of total)

ival-fmax: 3.0ms (17.1% of total)

ival-sub: 1.0ms (5.7% of total)

ival-add: 1.0ms (5.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0.1%)

Memory

3.5MiB live, 3.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1108655572.3442452	2.350551414365006e+23
1.0ms	-1.4302077709116193e+95	-6.856724894239356e+87

Compiler

Compiled 662 to 508 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.314407557943667e-122	1.4780817315579243e-119

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify45.0ms (2.2%)

Memory

-16.9MiB live, 27.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	226
1	74	226
2	134	226
3	229	226
4	319	226
5	641	226
6	3735	226

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fmax.f64 (fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
(if (<=.f64 (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)) #s(literal 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) (fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fmax.f64 x y)))
(if (<=.f64 x #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 x x)) (fmax.f64 x y)) (if (<=.f64 x #s(literal 850000000000000 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 x x)) (fmax.f64 x y))))
(if (<=.f64 x #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 x x)) (fmax.f64 x y)) (if (<=.f64 x #s(literal 850000000000000 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 y y)) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))))
(if (<=.f64 (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)) #s(literal 1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

Outputs
(fmax.f64 (fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
(if (<=.f64 (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)) #s(literal 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) (fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fmax.f64 x y)))
(if (<=.f64 x #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 x x)) (fmax.f64 x y)) (if (<=.f64 x #s(literal 850000000000000 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 x x)) (fmax.f64 x y))))
(if (or (<=.f64 x #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (not (<=.f64 x #s(literal 850000000000000 binary64)))) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)))
(if (<=.f64 x #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 x x)) (fmax.f64 x y)) (if (<=.f64 x #s(literal 850000000000000 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 y y)) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))))
(if (or (<=.f64 x #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (not (<=.f64 x #s(literal 850000000000000 binary64)))) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 x x)) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 y y)) (fmax.f64 x y)))
(if (<=.f64 (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)) #s(literal 1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

derivations46.0ms (2.2%)

Memory

2.8MiB live, 46.5MiB allocated; 10ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 226 to 54 computations (76.1% saved)

preprocess43.0ms (2.1%)

Memory: 8.7MiB live, 65.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 478 to 128 computations (73.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze97.0ms (4.7%)

sample962.0ms (46.4%)

explain120.0ms (5.8%)

preprocess295.0ms (14.2%)

eval0.0ms (0%)

prune1.0ms (0%)

series8.0ms (0.4%)

rewrite120.0ms (5.8%)

eval19.0ms (0.9%)

prune3.0ms (0.1%)

series6.0ms (0.3%)

rewrite88.0ms (4.3%)

eval26.0ms (1.3%)

prune7.0ms (0.3%)

series4.0ms (0.2%)

rewrite89.0ms (4.3%)

eval9.0ms (0.4%)

prune5.0ms (0.3%)

regimes10.0ms (0.5%)

regimes7.0ms (0.3%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

regimes10.0ms (0.5%)

regimes3.0ms (0.2%)

bsearch0.0ms (0%)

bsearch40.0ms (1.9%)

bsearch2.0ms (0.1%)

bsearch0.0ms (0%)

simplify45.0ms (2.2%)

derivations46.0ms (2.2%)

preprocess43.0ms (2.1%)

end0.0ms (0%)

Profiling