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

start0.0ms (0%)

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

analyze85.0ms (5.9%)

Memory

12.0MiB live, 100.5MiB allocated; 16ms 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)

sample709.0ms (49.7%)

Memory

21.4MiB live, 1 137.0MiB allocated; 223ms collecting garbage

Samples

485.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-pow2: 220.0ms (85.7% of total)

ival-sub!: 15.0ms (5.8% of total)

ival-add!: 14.0ms (5.5% of total)

ival-fmax: 6.0ms (2.3% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess113.0ms (7.9%)

Memory

-19.5MiB live, 32.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (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

Stop Event

1×	node-limit

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 22 to 20 computations (9.1% saved)

series5.0ms (0.4%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms 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
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	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))

rewrite82.0ms (5.7%)

Memory

30.3MiB live, 119.9MiB allocated; 14ms 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 (.f64 (.f64 (.f64 x x) x) x) (.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 (.f64 (.f64 (.f64 y y) y) y) (.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 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.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 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y) (pow.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) y) y (-.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 (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) #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 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (fma.f64 (fma.f64 x x (.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) #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 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (fma.f64 (fma.f64 x x (.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/4 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 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (*.f64 y y))) (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 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (fma.f64 (fma.f64 x x (.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/4 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 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))))))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y 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 (.f64 (.f64 (.f64 y y) y) y) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.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 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y 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 (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 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) 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 y (/.f64 y (*.f64 x x)) #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 (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 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) y) y))
#s(approx (+ (pow y 2) (pow x 2)) (.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y))

eval17.0ms (1.2%)

Memory: -0.3MiB live, 45.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 018 to 510 computations (49.9% saved)

prune26.0ms (1.8%)

Memory

-23.5MiB live, 38.3MiB allocated; 27ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	123	4	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	4	128

Accuracy

100.0%

Counts

128 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.1%	(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))
▶	65.9%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
▶	59.3%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
▶	58.9%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

Compiler

Compiled 50 to 50 computations (0% saved)

series6.0ms (0.4%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Counts

16 → 21

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

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) (+ (* x x) -1/2) -1/2 (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2))
1.0ms	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) (+ (* x x) -1/2) -1/2 (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2))
1.0ms	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) (+ (* x x) -1/2) -1/2 (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2))
1.0ms	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) (+ (* x x) -1/2) -1/2 (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2))
1.0ms	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) (+ (* x x) -1/2) -1/2 (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2))

rewrite93.0ms (6.5%)

Memory

-9.6MiB live, 180.2MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	419
0	82	409
1	294	379
0	2511	359

Stop Event

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

Counts

37 → 109

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

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 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal -1/2 binary64) (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(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 (.f64 (.f64 (*.f64 x x) x) x) (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 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1/4 binary64)))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/2 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) (.f64 (.f64 (.f64 y y) y) y)) (-.f64 #s(literal -1/2 binary64) (.f64 y y)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 y y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y y #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 y y) y) y (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))))
(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 (.f64 (.f64 (*.f64 y y) y) y) (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 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (fma.f64 (.f64 (.f64 y y) y) y (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 (.f64 y y) y) y (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1/4 binary64)))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 y y) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))))
(+.f64 #s(literal -1/2 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #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 (+ (* 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 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (+ (* x x) -1/2) (*.f64 x x))
#s(approx (+ (* x x) -1/2) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) 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) (*.f64 y y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) y) y))
#s(approx (+ (* y y) -1/2) (*.f64 y y))
#s(approx (+ (* y y) -1/2) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) y) y))

eval12.0ms (0.8%)

Memory: -18.1MiB live, 28.7MiB allocated; 2ms collecting garbage
Compiler: Compiled 777 to 406 computations (47.7% saved)

prune4.0ms (0.3%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	97	5	102

Accuracy

100.0%

Counts

102 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.1%	(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))
✓	65.9%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
✓	59.3%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
✓	58.9%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
▶	26.8%	(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 66 to 66 computations (0% saved)

series3.0ms (0.2%)

Memory

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

Counts

7 → 15

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

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 (- (+ (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)) 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 (- (+ (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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
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)
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)
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)
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)
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)

rewrite105.0ms (7.4%)

Memory

-21.8MiB live, 68.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	274
0	54	268
1	242	260
0	2115	223

Stop Event

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

Counts

22 → 22

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
#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 (- (+ (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)) 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 (- (+ (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)))))))

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

eval1.0ms (0.1%)

Memory: 2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 92 to 61 computations (33.7% saved)

prune3.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	10	5	15

Accuracy

100.0%

Counts

15 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.1%	(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))
✓	65.9%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
✓	59.3%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
✓	58.9%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
✓	26.8%	(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 114 to 101 computations (11.4% saved)

regimes8.0ms (0.5%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Counts

6 → 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 x x #s(literal -1/2 binary64))) (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 (-.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))

Calls

3 calls:

2.0ms	y
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
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 13 to 14 computations (-7.7% saved)

regimes16.0ms (1.2%)

Memory

-28.7MiB live, 20.2MiB allocated; 9ms collecting garbage

Counts

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

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

Calls

3 calls:

12.0ms	(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
2.0ms	x

Results

Accuracy	Segments	Branch
69.5%	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))`
90.2%	3	`x`
93.7%	3	`y`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes2.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB 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 x x #s(literal -1/2 binary64))) (fmax.f64 x y))

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
93.7%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB 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 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))
(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 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))

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
83.0%	3	`x`
86.6%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms 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:

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	y
1.0ms	x

Results

Accuracy	Segments	Branch
65.5%	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))`
65.4%	3	`x`
58.9%	1	`y`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes3.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB 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	y
1.0ms	x

Results

Accuracy	Segments	Branch
26.8%	1	`y`
26.8%	1	`x`
26.8%	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 13 to 14 computations (-7.7% saved)

bsearch39.0ms (2.8%)

Memory

-28.5MiB live, 62.4MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1011642639834361900.0	3.4173939979451174e+23
21.0ms	-1.9066175834965005e+58	-2.37106057345327e+56

Samples

14.0ms

256×

valid

Compiler

Compiled 425 to 455 computations (-7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-pow2: 5.0ms (57.4% of total)

ival-fmax: 2.0ms (22.9% of total)

ival-sub!: 1.0ms (11.5% of total)

ival-add!: 1.0ms (11.5% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1011642639834361900.0	3.4173939979451174e+23
1.0ms	-1.9066175834965005e+58	-2.37106057345327e+56

Compiler

Compiled 416 to 446 computations (-7.2% saved)

bsearch2.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1011642639834361900.0	3.4173939979451174e+23
1.0ms	-1.9066175834965005e+58	-2.37106057345327e+56

Compiler

Compiled 400 to 430 computations (-7.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1459494908699076e-106	1.0796023552814863e-102

Compiler

Compiled 14 to 15 computations (-7.1% saved)

derivations35.0ms (2.5%)

Memory

32.6MiB live, 77.0MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 69 to 48 computations (30.4% saved)

preprocess47.0ms (3.3%)

Memory: -24.7MiB live, 121.0MiB allocated; 13ms collecting garbage
Compiler: Compiled 80 to 58 computations (27.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze85.0ms (5.9%)

sample709.0ms (49.7%)

preprocess113.0ms (7.9%)

series5.0ms (0.4%)

rewrite82.0ms (5.7%)

eval17.0ms (1.2%)

prune26.0ms (1.8%)

series6.0ms (0.4%)

rewrite93.0ms (6.5%)

eval12.0ms (0.8%)

prune4.0ms (0.3%)

series3.0ms (0.2%)

rewrite105.0ms (7.4%)

eval1.0ms (0.1%)

prune3.0ms (0.2%)

regimes8.0ms (0.5%)

regimes16.0ms (1.2%)

regimes2.0ms (0.2%)

regimes3.0ms (0.2%)

regimes4.0ms (0.3%)

regimes3.0ms (0.2%)

bsearch39.0ms (2.8%)

bsearch2.0ms (0.1%)

bsearch2.0ms (0.1%)

bsearch0.0ms (0%)

derivations35.0ms (2.5%)

preprocess47.0ms (3.3%)

end0.0ms (0%)

Profiling