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

start0.0ms (0%)

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

analyze154.0ms (6.3%)

Memory

-24.0MiB live, 149.6MiB allocated; 88ms 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)

sample637.0ms (26.2%)

Memory

37.6MiB live, 1 158.8MiB allocated; 207ms collecting garbage

Samples

428.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-pow2: 163.0ms (67% of total)

ival-add!: 56.0ms (23% of total)

ival-sub!: 15.0ms (6.2% of total)

ival-fmax: 7.0ms (2.9% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess37.0ms (1.5%)

Memory

40.5MiB live, 40.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	88
1	153	84

Stop Event

1×	iter-limit
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 26 to 20 computations (23.1% saved)

series72.0ms (3%)

Memory

-2.2MiB live, 42.9MiB allocated; 7ms collecting garbage

Counts

10 → 14

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

Calls

6 calls:

Time	Variable	Point
7.0ms	x	inf
1.0ms	x	0
1.0ms	x	-inf
1.0ms	y	inf
1.0ms	y	-inf

rewrite265.0ms (10.9%)

Memory

-47.6MiB live, 162.7MiB allocated; 190ms collecting garbage

Counts

10 → 38

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
(fmax.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fmax.f64 x y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (+.f64 y x)) (-.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(.f64 (-.f64 (+.f64 y x) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (+.f64 y x)) (+.f64 y x)))
(*.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) y) (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (+.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (fma.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (+.f64 y x)) (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fma.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64) (+.f64 y x))))
(.f64 (/.f64 (-.f64 (+.f64 y x) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 y x))) (fma.f64 (.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) (+.f64 y x)) (+.f64 y x)))
(*.f64 (+.f64 y x) (+.f64 y x))
(*.f64 (fma.f64 (-.f64 x y) x y) (+.f64 y x))
(*.f64 (neg.f64 (+.f64 y x)) (neg.f64 (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x))
(*.f64 (+.f64 y x) (fma.f64 (-.f64 x y) x y))
y
(*.f64 y y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 y) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 y) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
y
(*.f64 y y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 y) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 y) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))
x
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
x
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(fmax.f64 x y)

eval5.0ms (0.2%)

Memory: 10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 768 to 197 computations (74.3% saved)

prune2.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	4	40

Accuracy

100.0%

Counts

40 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
▶	99.8%	(fmax.f64 (-.f64 (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
▶	26.6%	(fmax.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fmax.f64 x y))
▶	64.5%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 54 to 40 computations (25.9% saved)

series107.0ms (4.4%)

Memory

-20.9MiB live, 126.7MiB allocated; 25ms collecting garbage

Counts

21 → 57

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
2.0ms	x	-inf
1.0ms	y	-inf
1.0ms	y	inf
1.0ms	x	inf
1.0ms	x	0

rewrite201.0ms (8.3%)

Memory

22.6MiB live, 259.3MiB allocated; 18ms collecting garbage

Counts

21 → 77

Calls

Call 1

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

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

eval16.0ms (0.7%)

Memory: -16.0MiB live, 33.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 640 to 545 computations (79.4% saved)

prune6.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	110	5	115
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	112	7	119

Accuracy

100.0%

Counts

119 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.5%	(fmax.f64 (-.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fmax.f64 x y))
✓	100.0%	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
▶	67.3%	(fmax.f64 (-.f64 (*.f64 #s(approx (+ y x) y) #s(approx (+ y x) y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
✓	26.6%	(fmax.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fmax.f64 x y))
▶	64.5%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (*.f64 x x) #s(literal 1/2 binary64))) (fmax.f64 x y))
▶	27.6%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (fabs.f64 x) #s(literal 1/2 binary64))) (fmax.f64 x y))
▶	26.6%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 190 to 133 computations (30% saved)

series94.0ms (3.9%)

Memory

12.5MiB live, 102.9MiB allocated; 7ms collecting garbage

Counts

23 → 59

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	y	-inf
1.0ms	y	inf
1.0ms	x	0

rewrite190.0ms (7.8%)

Memory

8.7MiB live, 199.0MiB allocated; 61ms collecting garbage

Counts

23 → 55

Calls

Call 1

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

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

eval16.0ms (0.7%)

Memory: -7.3MiB live, 37.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 949 to 524 computations (82.2% saved)

prune19.0ms (0.8%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	126	4	130
Fresh	0	0	0
Picked	2	3	5
Done	1	1	2
Total	129	8	137

Accuracy

100.0%

Counts

137 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
✓	67.3%	(fmax.f64 (-.f64 (*.f64 #s(approx (+ y x) y) #s(approx (+ y x) y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
▶	5.0%	(fmax.f64 (-.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fmax.f64 x y))
✓	64.5%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (*.f64 x x) #s(literal 1/2 binary64))) (fmax.f64 x y))
▶	46.2%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (*.f64 x x) y))
▶	14.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (fabs.f64 x) y))
▶	50.6%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (*.f64 y y)))
✓	26.6%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 145 to 99 computations (31.7% saved)

series80.0ms (3.3%)

Memory

-38.5MiB live, 64.8MiB allocated; 10ms collecting garbage

Counts

19 → 20

Calls

Call 1

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

Outputs
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x (* y y))) (fmax.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))
#s(approx (- (pow x 2) 1/2) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (fmax x (* y y)) (fmax.f64 x (pow.f64 y #s(literal 2 binary64))))
#s(approx x x)
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax (fabs x) y)) (fmax.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 (fabs.f64 x) y)))
#s(approx (fmax (fabs x) y) (fmax.f64 (fabs.f64 x) y))
#s(approx (fabs x) (fabs.f64 x))
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax (* x x) y)) (fmax.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 (pow.f64 x #s(literal 2 binary64)) y)))
#s(approx (fmax (* x x) y) (fmax.f64 (pow.f64 x #s(literal 2 binary64)) y))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (fmax (- 2 1/2) (fmax x y)) (fmax.f64 #s(literal 3/2 binary64) (fmax.f64 x y)))
#s(approx (fmax x y) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (pow x 2) 1/2) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64)))
#s(approx y y)
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))

Calls

6 calls:

Time	Variable	Point
2.0ms	x	-inf
1.0ms	x	inf
1.0ms	y	inf
1.0ms	y	-inf
1.0ms	x	0

rewrite189.0ms (7.8%)

Memory

38.3MiB live, 183.4MiB allocated; 9ms collecting garbage

Counts

19 → 47

Calls

Call 1

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

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

eval9.0ms (0.4%)

Memory: -24.2MiB live, 22.4MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 664 to 227 computations (86.4% saved)

prune5.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	71	9	80

Accuracy

100.0%

Counts

80 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
✓	67.3%	(fmax.f64 (-.f64 (*.f64 #s(approx (+ y x) y) #s(approx (+ y x) y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
✓	64.5%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (*.f64 x x) #s(literal 1/2 binary64))) (fmax.f64 x y))
✓	46.2%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (*.f64 x x) y))
✓	14.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (fabs.f64 x) y))
✓	50.6%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (*.f64 y y)))
	14.6%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (fabs.f64 y)))
✓	26.6%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
	5.0%	#s(approx (fmax (- 2 1/2) (fmax x y)) (fmax.f64 #s(literal 3/2 binary64) (fmax.f64 x y)))

Compiler

Compiled 173 to 118 computations (31.8% saved)

regimes99.0ms (4.1%)

Memory

-16.0MiB live, 127.2MiB allocated; 12ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

5 → 1

6 → 2

7 → 5

10 → 5

11 → 3

12 → 3

14 → 1

16 → 1

Calls

Call 1

Inputs
#s(approx (fmax (- 2 1/2) (fmax x y)) (fmax.f64 #s(literal 3/2 binary64) (fmax.f64 x y)))

Outputs
#s(approx (fmax (- 2 1/2) (fmax x y)) (fmax.f64 #s(literal 3/2 binary64) (fmax.f64 x y)))

Call 2

Inputs
#s(approx (fmax (- 2 1/2) (fmax x y)) (fmax.f64 #s(literal 3/2 binary64) (fmax.f64 x y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (fabs.f64 y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (fabs.f64 x) y))
(fmax.f64 (-.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fmax.f64 x y))

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

Call 3

Inputs
#s(approx (fmax (- 2 1/2) (fmax x y)) (fmax.f64 #s(literal 3/2 binary64) (fmax.f64 x y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (fabs.f64 y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (fabs.f64 x) y))
(fmax.f64 (-.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (*.f64 y y)))

Outputs

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

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

Call 4

Inputs
#s(approx (fmax (- 2 1/2) (fmax x y)) (fmax.f64 #s(literal 3/2 binary64) (fmax.f64 x y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (fabs.f64 y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (fabs.f64 x) y))
(fmax.f64 (-.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (*.f64 y y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (*.f64 x x) y))

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

Call 5

Inputs
#s(approx (fmax (- 2 1/2) (fmax x y)) (fmax.f64 #s(literal 3/2 binary64) (fmax.f64 x y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (fabs.f64 y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (fabs.f64 x) y))
(fmax.f64 (-.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (*.f64 y y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (*.f64 x x) y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (fabs.f64 x) #s(literal 1/2 binary64))) (fmax.f64 x y))
(fmax.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fmax.f64 x y))
(fmax.f64 (-.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fmax.f64 x y))

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

Call 6

Inputs
#s(approx (fmax (- 2 1/2) (fmax x y)) (fmax.f64 #s(literal 3/2 binary64) (fmax.f64 x y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (fabs.f64 y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (fabs.f64 x) y))
(fmax.f64 (-.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (*.f64 y y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (*.f64 x x) y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (fabs.f64 x) #s(literal 1/2 binary64))) (fmax.f64 x y))
(fmax.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fmax.f64 x y))
(fmax.f64 (-.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (*.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) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (*.f64 y y)))

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

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

Call 7

Inputs
#s(approx (fmax (- 2 1/2) (fmax x y)) (fmax.f64 #s(literal 3/2 binary64) (fmax.f64 x y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (fabs.f64 y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (fabs.f64 x) y))
(fmax.f64 (-.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (*.f64 y y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (*.f64 x x) y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (fabs.f64 x) #s(literal 1/2 binary64))) (fmax.f64 x y))
(fmax.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fmax.f64 x y))
(fmax.f64 (-.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (*.f64 x x) #s(literal 1/2 binary64))) (fmax.f64 x y))
(fmax.f64 (-.f64 (*.f64 #s(approx (+ y x) y) #s(approx (+ y x) y)) #s(literal 1/2 binary64)) (fmax.f64 x y))

Outputs

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

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

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

Call 8

Inputs
#s(approx (fmax (- 2 1/2) (fmax x y)) (fmax.f64 #s(literal 3/2 binary64) (fmax.f64 x y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (fabs.f64 y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (fabs.f64 x) y))
(fmax.f64 (-.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (*.f64 y y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (*.f64 x x) y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (fabs.f64 x) #s(literal 1/2 binary64))) (fmax.f64 x y))
(fmax.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fmax.f64 x y))
(fmax.f64 (-.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (*.f64 x x) #s(literal 1/2 binary64))) (fmax.f64 x y))
(fmax.f64 (-.f64 (*.f64 #s(approx (+ y x) y) #s(approx (+ y x) y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 (-.f64 (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fmax.f64 x y))

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

Call 9

Inputs
#s(approx (fmax (- 2 1/2) (fmax x y)) (fmax.f64 #s(literal 3/2 binary64) (fmax.f64 x y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (fabs.f64 y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (fabs.f64 x) y))
(fmax.f64 (-.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 x (*.f64 y y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (- (pow x 2) 1/2) #s(literal -1/2 binary64))) (fmax.f64 (*.f64 x x) y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (fabs.f64 x) #s(literal 1/2 binary64))) (fmax.f64 x y))
(fmax.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fmax.f64 x y))
(fmax.f64 (-.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (*.f64 x x) #s(literal 1/2 binary64))) (fmax.f64 x y))
(fmax.f64 (-.f64 (*.f64 #s(approx (+ y x) y) #s(approx (+ y x) y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 (-.f64 (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fmax.f64 x y))
(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.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 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))

Calls

22 calls:

8.0ms	y
6.0ms	x
6.0ms	(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))
5.0ms	(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))
5.0ms	x

Results

Accuracy	Segments	Branch
5.0%	1	`y`
5.0%	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))`
5.0%	1	`x`
26.6%	1	`x`
26.6%	1	`y`
26.6%	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))`
67.2%	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))`
50.6%	1	`x`
67.1%	3	`y`
79.9%	5	`y`
77.4%	4	`x`
80.1%	5	`y`
94.7%	3	`y`
70.9%	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))`
92.4%	3	`x`
94.8%	3	`y`
99.8%	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))`
99.8%	1	`x`
99.8%	1	`y`
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 355 to 160 computations (54.9% saved)

bsearch26.0ms (1.1%)

Memory

33.2MiB live, 33.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.43591161587875715	12861.709412240994
12.0ms	-2.6271255415522497e+24	-2.7085993856286154e+21

Samples

14.0ms

256×

valid

Compiler

Compiled 640 to 462 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-pow2: 5.0ms (59.1% of total)

ival-fmax: 2.0ms (23.7% of total)

ival-sub!: 1.0ms (11.8% of total)

ival-add!: 1.0ms (11.8% of total)

adjust: 0.0ms (0% of total)

bsearch14.0ms (0.6%)

Memory

-27.7MiB live, 19.0MiB allocated; 1ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.43591161587875715	12861.709412240994
1.0ms	-2.6271255415522497e+24	-2.7085993856286154e+21

Samples

7.0ms

112×

valid

Compiler

Compiled 688 to 510 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-fmax: 2.0ms (42.2% of total)

ival-pow2: 2.0ms (42.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch31.0ms (1.3%)

Memory

-10.2MiB live, 36.0MiB allocated; 3ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.43591161587875715	12861.709412240994
13.0ms	-2.7070468293351774e-208	-2.6347727228077783e-212
13.0ms	-2.5214665873316686e-40	-4.341027972209936e-48
1.0ms	-2.6271255415522497e+24	-2.7085993856286154e+21

Samples

16.0ms

272×

valid

Compiler

Compiled 1 449 to 1 053 computations (27.3% saved)

Precisions

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

ival-pow2: 5.0ms (55.6% of total)

ival-fmax: 2.0ms (22.2% of total)

ival-sub!: 1.0ms (11.1% of total)

ival-add!: 1.0ms (11.1% of total)

adjust: 0.0ms (0% of total)

bsearch28.0ms (1.1%)

Memory

12.8MiB live, 58.4MiB allocated; 2ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.43591161587875715	12861.709412240994
11.0ms	-2.7070468293351774e-208	-2.6347727228077783e-212
12.0ms	-2.5214665873316686e-40	-4.341027972209936e-48
1.0ms	-2.6271255415522497e+24	-2.7085993856286154e+21

Samples

13.0ms

224×

valid

Compiler

Compiled 1 500 to 1 053 computations (29.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-pow2: 5.0ms (64% of total)

ival-fmax: 2.0ms (25.6% of total)

ival-sub!: 1.0ms (12.8% of total)

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8968886442573906e-33	6.9390792606313125

Compiler

Compiled 16 to 15 computations (6.3% saved)

derivations17.0ms (0.7%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 515 to 80 computations (84.5% saved)

preprocess109.0ms (4.5%)

Memory: 0.1MiB live, 149.0MiB allocated; 21ms collecting garbage
Compiler: Compiled 528 to 90 computations (83% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze154.0ms (6.3%)

sample637.0ms (26.2%)

preprocess37.0ms (1.5%)

series72.0ms (3%)

rewrite265.0ms (10.9%)

eval5.0ms (0.2%)

prune2.0ms (0.1%)

series107.0ms (4.4%)

rewrite201.0ms (8.3%)

eval16.0ms (0.7%)

prune6.0ms (0.2%)

series94.0ms (3.9%)

rewrite190.0ms (7.8%)

eval16.0ms (0.7%)

prune19.0ms (0.8%)

series80.0ms (3.3%)

rewrite189.0ms (7.8%)

eval9.0ms (0.4%)

prune5.0ms (0.2%)

regimes99.0ms (4.1%)

bsearch26.0ms (1.1%)

bsearch14.0ms (0.6%)

bsearch31.0ms (1.3%)

bsearch28.0ms (1.1%)

bsearch0.0ms (0%)

derivations17.0ms (0.7%)

preprocess109.0ms (4.5%)

end0.0ms (0%)

Profiling