Metrics for Linear.Projection:perspective from linear-1.19.1.3, B

start0.0ms (0%)

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

analyze21.0ms (0.9%)

Memory

-14.9MiB live, 26.3MiB allocated; 10ms 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample780.0ms (31.2%)

Memory

43.7MiB live, 704.7MiB allocated; 263ms collecting garbage

Samples

354.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult!: 82.0ms (49.8% of total)

ival-div!: 58.0ms (35.2% of total)

ival-sub!: 23.0ms (14% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

preprocess27.0ms (1.1%)

Memory

-11.2MiB live, 38.0MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	60
1	84	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.4%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series140.0ms (5.6%)

Memory

-5.7MiB live, 138.3MiB allocated; 21ms collecting garbage

Counts

7 → 29

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
y
(-.f64 x y)

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

Calls

6 calls:

Time	Variable	Point
3.0ms	x	-inf
3.0ms	x	inf
2.0ms	x	0
2.0ms	y	inf
2.0ms	y	-inf

rewrite161.0ms (6.4%)

Memory

-1.7MiB live, 91.5MiB allocated; 18ms collecting garbage

Counts

7 → 16

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
y
(-.f64 x y)

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

eval4.0ms (0.2%)

Memory: 8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 765 to 202 computations (73.6% saved)

prune4.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	32	6	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	7	39

Accuracy

100.0%

Counts

39 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.4%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
	77.2%	(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
▶	89.3%	(.f64 (.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 x y)))
▶	43.1%	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 y (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x)))))
▶	57.3%	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 x (-.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64))))
▶	43.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
▶	57.5%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 177 to 133 computations (24.9% saved)

series172.0ms (6.9%)

Memory

16.5MiB live, 159.1MiB allocated; 39ms collecting garbage

Counts

22 → 64

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
5.0ms	y	-inf
4.0ms	y	inf
3.0ms	x	0
3.0ms	x	-inf
3.0ms	x	inf

rewrite173.0ms (6.9%)

Memory

-12.4MiB live, 129.2MiB allocated; 49ms collecting garbage

Counts

22 → 64

Calls

Call 1

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

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

eval19.0ms (0.8%)

Memory: -15.4MiB live, 29.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 679 to 542 computations (79.8% saved)

prune6.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	117	6	123
Fresh	1	0	1
Picked	3	2	5
Done	1	0	1
Total	122	8	130

Accuracy

100.0%

Counts

130 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.4%	(/.f64 (*.f64 x (+.f64 y y)) (-.f64 x y))
	77.2%	(.f64 (.f64 x (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
✓	89.3%	(.f64 (.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 x y)))
▶	89.1%	(.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 x y))))
▶	43.8%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
▶	43.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
▶	57.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	57.5%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 182 to 129 computations (29.1% saved)

series188.0ms (7.5%)

Memory

-1.9MiB live, 152.3MiB allocated; 42ms collecting garbage

Counts

22 → 85

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
7.0ms	y	-inf
2.0ms	x	-inf
2.0ms	x	inf
2.0ms	x	0
2.0ms	y	inf

rewrite164.0ms (6.5%)

Memory

12.9MiB live, 152.5MiB allocated; 15ms collecting garbage

Counts

22 → 73

Calls

Call 1

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

Outputs
(.f64 (.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 x y)))
(.f64 (.f64 x (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 (+.f64 y y) (-.f64 x y)))
(.f64 x (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 x (+.f64 y y)) (-.f64 x y))
(/.f64 (neg.f64 (*.f64 x (+.f64 y y))) (neg.f64 (-.f64 x y)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y)
(*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 x y))
(/.f64 y (-.f64 x y))
y
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x y)))
(pow.f64 (-.f64 x y) #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(+.f64 x (neg.f64 y))
(-.f64 x y)
(neg.f64 (-.f64 y x))
#s(approx (* x (/ (* 2 y) (- x y))) (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(+.f64 y y)
(-.f64 y (neg.f64 y))
#s(approx (* x (/ (* 2 y) (- x y))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(*.f64 x (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -2 binary64))
(+.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) y) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y))
(-.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(/.f64 (neg.f64 x) (neg.f64 y))
#s(literal -2 binary64)
(neg.f64 #s(literal 2 binary64))
#s(approx (* x (/ (* 2 y) (- x y))) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)
(*.f64 y (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
(-.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -2 binary64))
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 y x)
(/.f64 (neg.f64 y) (neg.f64 x))
(.f64 (.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 x y)))
(.f64 (.f64 x (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 (+.f64 y y) (-.f64 x y)))
(.f64 x (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 x (+.f64 y y)) (-.f64 x y))
(/.f64 (neg.f64 (*.f64 x (+.f64 y y))) (neg.f64 (-.f64 x y)))
(*.f64 x (+.f64 y y))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 (+.f64 y y) x)
(.f64 y (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 y x) (.f64 y x))
(+.f64 (.f64 x y) (.f64 x y))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 x y))

eval21.0ms (0.8%)

Memory: -11.2MiB live, 40.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 310 to 694 computations (79% saved)

prune7.0ms (0.3%)

Memory

-31.3MiB live, 16.3MiB allocated; 1ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	0	1	1
Picked	0	5	5
Done	1	1	2
Total	150	8	158

Accuracy

100.0%

Counts

158 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.4%	(/.f64 (*.f64 x (+.f64 y y)) (-.f64 x y))
▶	77.2%	(.f64 (.f64 x (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
✓	89.1%	(.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 x y))))
▶	89.3%	(*.f64 x (/.f64 (+.f64 y y) (-.f64 x y)))
✓	43.8%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	43.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
✓	57.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	57.5%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 102 to 72 computations (29.4% saved)

series174.0ms (7%)

Memory

2.0MiB live, 145.7MiB allocated; 15ms collecting garbage

Counts

10 → 66

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite161.0ms (6.4%)

Memory

23.4MiB live, 115.9MiB allocated; 15ms collecting garbage

Counts

10 → 37

Calls

Call 1

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

Outputs
(.f64 (.f64 x (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 x (/.f64 (+.f64 y y) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y y) (-.f64 x y)) x)
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 x (+.f64 y y)))
(/.f64 (*.f64 x (+.f64 y y)) (-.f64 x y))
(/.f64 (.f64 (.f64 x (+.f64 y y)) #s(literal 1 binary64)) (-.f64 x y))
x
(*.f64 (+.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y)))
(/.f64 (+.f64 y y) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 y y)) (neg.f64 (-.f64 x y)))
(*.f64 #s(literal 2 binary64) y)
(+.f64 y y)
(-.f64 y (neg.f64 y))
y
(+.f64 x (neg.f64 y))
(-.f64 x y)
(neg.f64 (-.f64 y x))
(.f64 (.f64 x (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 x (/.f64 (+.f64 y y) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y y) (-.f64 x y)) x)
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 x (+.f64 y y)))
(/.f64 (*.f64 x (+.f64 y y)) (-.f64 x y))
(/.f64 (.f64 (.f64 x (+.f64 y y)) #s(literal 1 binary64)) (-.f64 x y))
(*.f64 x (+.f64 y y))
(*.f64 (+.f64 y y) x)
(+.f64 (.f64 y x) (.f64 y x))
(+.f64 (.f64 x y) (.f64 x y))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 x y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x y)))
(pow.f64 (-.f64 x y) #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))

eval30.0ms (1.2%)

Memory: 19.7MiB live, 63.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 194 to 476 computations (78.3% saved)

prune14.0ms (0.5%)

Memory

-29.4MiB live, 20.9MiB allocated; 13ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	1	1	2
Done	1	5	6
Total	99	8	107

Accuracy

100.0%

Counts

107 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.4%	(/.f64 (*.f64 x (+.f64 y y)) (-.f64 x y))
✓	89.3%	(*.f64 x (/.f64 (+.f64 y y) (-.f64 x y)))
	89.1%	(.f64 x (.f64 (+.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
	33.1%	(.f64 x #s(approx (/ (+ y y) (- x y)) (.f64 #s(literal 2 binary64) (/.f64 y x))))
✓	43.8%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	43.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
✓	57.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	57.5%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 106 to 73 computations (31.1% saved)

regimes99.0ms (3.9%)

Memory

44.4MiB live, 129.8MiB allocated; 51ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

4 → 3

6 → 3

16 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))

Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))

Call 2

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

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

Call 3

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

Outputs

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

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

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

Call 4

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

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

Calls

10 calls:

37.0ms	y
30.0ms	x
11.0ms	y
5.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
3.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
43.8%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
43.8%	1	`y`
43.8%	1	`x`
80.7%	3	`x`
80.9%	3	`x`
57.5%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
79.9%	3	`y`
99.3%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
95.6%	3	`x`
98.0%	3	`y`

Compiler

Compiled 242 to 88 computations (63.6% saved)

bsearch28.0ms (1.1%)

Memory

-16.0MiB live, 30.1MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.325882869851164e-209	1.982193306375171e-202
16.0ms	-2.677759796182602e-96	-3.865956857517876e-98

Samples

17.0ms

256×

valid

Compiler

Compiled 444 to 332 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult!: 10.0ms (84.7% of total)

ival-sub!: 1.0ms (8.5% of total)

ival-div!: 1.0ms (8.5% of total)

adjust: 0.0ms (0% of total)

bsearch57.0ms (2.3%)

Memory

-20.6MiB live, 36.4MiB allocated; 50ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	1.305308671818347e+103	1.3422962816527395e+113
8.0ms	-7.026533921546479e+70	-7.558482964154978e+68

Samples

45.0ms

272×

valid

Compiler

Compiled 539 to 403 computations (25.2% saved)

Precisions

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

ival-mult!: 3.0ms (64.9% of total)

ival-sub!: 1.0ms (21.6% of total)

ival-div!: 1.0ms (21.6% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

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

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.305308671818347e+103	1.3422962816527395e+113
1.0ms	-7.026533921546479e+70	-7.558482964154978e+68

Compiler

Compiled 454 to 369 computations (18.7% saved)

derivations2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 156 to 38 computations (75.6% saved)

preprocess45.0ms (1.8%)

Memory: 13.7MiB live, 106.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 165 to 45 computations (72.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze21.0ms (0.9%)

sample780.0ms (31.2%)

preprocess27.0ms (1.1%)

series140.0ms (5.6%)

rewrite161.0ms (6.4%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

series172.0ms (6.9%)

rewrite173.0ms (6.9%)

eval19.0ms (0.8%)

prune6.0ms (0.2%)

series188.0ms (7.5%)

rewrite164.0ms (6.5%)

eval21.0ms (0.8%)

prune7.0ms (0.3%)

series174.0ms (7%)

rewrite161.0ms (6.4%)

eval30.0ms (1.2%)

prune14.0ms (0.5%)

regimes99.0ms (3.9%)

bsearch28.0ms (1.1%)

bsearch57.0ms (2.3%)

bsearch2.0ms (0.1%)

derivations2.0ms (0.1%)

preprocess45.0ms (1.8%)

end0.0ms (0%)

Profiling