Metrics for Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms 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
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	6
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	7
99.2%	99.1%	0.8%	0.1%	0%	0%	0%	8
99.6%	99.5%	0.4%	0.1%	0%	0%	0%	9
99.8%	99.7%	0.2%	0.1%	0%	0%	0%	10
99.9%	99.8%	0.1%	0.1%	0%	0%	0%	11
100%	99.9%	0%	0.1%	0%	0%	0%	12

Compiler

Compiled 21 to 11 computations (47.6% saved)

sample758.0ms (9.3%)

Memory

4.3MiB live, 890.9MiB allocated; 215ms collecting garbage

Samples

533.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-mult!: 158.0ms (57.5% of total)

ival-div!: 82.0ms (29.8% of total)

ival-sub!: 18.0ms (6.5% of total)

ival-add!: 16.0ms (5.8% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess88.0ms (1.1%)

Memory

-27.3MiB live, 25.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	116
1	129	114
2	514	114
3	1400	114
4	6602	114

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Symmetry

(abs x)

(abs y)

Compiler

Compiled 26 to 18 computations (30.8% saved)

series224.0ms (2.7%)

Memory

10.3MiB live, 152.2MiB allocated; 5ms collecting garbage

Counts

9 → 27

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (- (* x x) (* (* y 4) y)) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (- (* x x) (* (* y 4) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (* x x) (* (* y 4) y)) (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* x x) (* (* y 4) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* (* y 4) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (* x x) (* (* y 4) y)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* y 4) (*.f64 #s(literal 4 binary64) y))
#s(approx y y)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))))))))
#s(approx (- (* x x) (* (* y 4) y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64))))
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)))
2.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)))
1.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)))
1.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)))
1.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)))

rewrite2.2s (27.3%)

Memory

45.5MiB live, 649.9MiB allocated; 359ms collecting garbage

Counts

9 → 919

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))

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

eval202.0ms (2.5%)

Memory: 12.3MiB live, 144.0MiB allocated; 38ms collecting garbage
Compiler: Compiled 18 879 to 2 799 computations (85.2% saved)

prune37.0ms (0.4%)

Memory

-22.1MiB live, 35.3MiB allocated; 15ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	933	5	938
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	934	5	939

Accuracy

99.8%

Counts

939 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (/.f64 y (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x))) (.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)) (.f64 y #s(literal 4 binary64))) (.f64 x x)))
▶	50.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 y #s(literal 4 binary64)) y)))
▶	44.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
▶	53.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	47.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 158 to 122 computations (22.8% saved)

series297.0ms (3.6%)

Memory

-3.0MiB live, 90.8MiB allocated; 5ms collecting garbage

Counts

26 → 56

Calls

Call 1

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

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (- (* x x) (* (* y 4) y)) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (- (* x x) (* (* y 4) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (* x x) (* (* y 4) y)) (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (pow y 2) (pow x 2)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (/.f64 #s(literal 1/4 binary64) y))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64))) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (+ (* (* y 4) y) (* x x)) (* y 4)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))))
#s(approx (* (+ (* (* y 4) y) (* x x)) (* y 4)) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* x x) (* (* y 4) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* (* y 4) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (/.f64 (+.f64 y (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (/.f64 (-.f64 (+.f64 y (.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (/.f64 (-.f64 (+.f64 y (.f64 #s(literal -64 binary64) (/.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ (* (* y 4) y) (* x x)) (* y 4)) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))
#s(approx (* (+ (* (* y 4) y) (* x x)) (* y 4)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) y (.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (* x x) (* (* y 4) y)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* y 4) (*.f64 #s(literal 4 binary64) y))
#s(approx y y)
#s(approx (pow y 2) (pow.f64 y #s(literal 2 binary64)))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (*.f64 y (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (.f64 y (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (.f64 y (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -64 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (+ (* (* y 4) y) (* x x)) (* y 4)) (.f64 y (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))))))))
#s(approx (- (* x x) (* (* y 4) y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64))))
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (/.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (/.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))
#s(approx (* (+ (* (* y 4) y) (* x x)) (* y 4)) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/4 binary64)) y)))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)))
#s(approx (/ y (+ (* (* y 4) y) (* x x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))) y)))
#s(approx (* (+ (* (* y 4) y) (* x x)) (* y 4)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 16 binary64)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (* -8 (/ (pow y 2) (pow x 2))) -8 (/ (pow y 2) (pow x 2)) (pow y 2) 2 (pow x 2) (/ (- (* x x) (* (* y 4) y)) (+ (* (/ y (+ (* (* y 4) y) (* x x))) (* (+ (* (* y 4) y) (* x x)) (* y 4))) (* x x))) (+ (* (/ y (+ (* (* y 4) y) (* x x))) (* (+ (* (* y 4) y) (* x x)) (* y 4))) (* x x)) (/ y (+ (* (* y 4) y) (* x x))) (+ (* (* y 4) y) (* x x)) (* (+ (* (* y 4) y) (* x x)) (* y 4)))
3.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (* -8 (/ (pow y 2) (pow x 2))) -8 (/ (pow y 2) (pow x 2)) (pow y 2) 2 (pow x 2) (/ (- (* x x) (* (* y 4) y)) (+ (* (/ y (+ (* (* y 4) y) (* x x))) (* (+ (* (* y 4) y) (* x x)) (* y 4))) (* x x))) (+ (* (/ y (+ (* (* y 4) y) (* x x))) (* (+ (* (* y 4) y) (* x x)) (* y 4))) (* x x)) (/ y (+ (* (* y 4) y) (* x x))) (+ (* (* y 4) y) (* x x)) (* (+ (* (* y 4) y) (* x x)) (* y 4)))
3.0ms	x	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (* -8 (/ (pow y 2) (pow x 2))) -8 (/ (pow y 2) (pow x 2)) (pow y 2) 2 (pow x 2) (/ (- (* x x) (* (* y 4) y)) (+ (* (/ y (+ (* (* y 4) y) (* x x))) (* (+ (* (* y 4) y) (* x x)) (* y 4))) (* x x))) (+ (* (/ y (+ (* (* y 4) y) (* x x))) (* (+ (* (* y 4) y) (* x x)) (* y 4))) (* x x)) (/ y (+ (* (* y 4) y) (* x x))) (+ (* (* y 4) y) (* x x)) (* (+ (* (* y 4) y) (* x x)) (* y 4)))
3.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (* -8 (/ (pow y 2) (pow x 2))) -8 (/ (pow y 2) (pow x 2)) (pow y 2) 2 (pow x 2) (/ (- (* x x) (* (* y 4) y)) (+ (* (/ y (+ (* (* y 4) y) (* x x))) (* (+ (* (* y 4) y) (* x x)) (* y 4))) (* x x))) (+ (* (/ y (+ (* (* y 4) y) (* x x))) (* (+ (* (* y 4) y) (* x x)) (* y 4))) (* x x)) (/ y (+ (* (* y 4) y) (* x x))) (+ (* (* y 4) y) (* x x)) (* (+ (* (* y 4) y) (* x x)) (* y 4)))
3.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (* -8 (/ (pow y 2) (pow x 2))) -8 (/ (pow y 2) (pow x 2)) (pow y 2) 2 (pow x 2) (/ (- (* x x) (* (* y 4) y)) (+ (* (/ y (+ (* (* y 4) y) (* x x))) (* (+ (* (* y 4) y) (* x x)) (* y 4))) (* x x))) (+ (* (/ y (+ (* (* y 4) y) (* x x))) (* (+ (* (* y 4) y) (* x x)) (* y 4))) (* x x)) (/ y (+ (* (* y 4) y) (* x x))) (+ (* (* y 4) y) (* x x)) (* (+ (* (* y 4) y) (* x x)) (* y 4)))

rewrite1.7s (21.4%)

Memory

34.7MiB live, 1 022.1MiB allocated; 396ms collecting garbage

Counts

26 → 1 073

Calls

Call 1

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

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

eval256.0ms (3.1%)

Memory: -4.2MiB live, 195.9MiB allocated; 91ms collecting garbage
Compiler: Compiled 28 083 to 4 885 computations (82.6% saved)

prune38.0ms (0.5%)

Memory

-15.3MiB live, 36.5MiB allocated; 22ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 312	2	1 314
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 313	6	1 319

Accuracy

100.0%

Counts

1 319 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (/.f64 y (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x))) (.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)) (.f64 y #s(literal 4 binary64))) (.f64 x x)))
✓	50.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 y #s(literal 4 binary64)) y)))
▶	44.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -8 binary64) #s(literal 1 binary64)))
▶	54.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64)))
✓	53.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	47.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 96 to 75 computations (21.9% saved)

series235.0ms (2.9%)

Memory

-13.2MiB live, 77.3MiB allocated; 24ms collecting garbage

Counts

14 → 25

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -8 binary64)) x)
(*.f64 y #s(literal -8 binary64))
y
#s(literal -8 binary64)
x
(/.f64 y x)
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -8 binary64) #s(literal 1 binary64))
(/.f64 (.f64 y y) (.f64 x x))
(*.f64 y y)
(*.f64 x x)

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (+ (* (/ (* y -8) x) (/ y x)) 1) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (/ (* y -8) x) (/ y x)) 1) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (* y -8) x) (*.f64 #s(literal -8 binary64) (/.f64 y x)))
#s(approx x x)
#s(approx (/ y x) (/.f64 y x))
#s(approx (/ (* y y) (* x x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (* y -8) x) (/ y x)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* y -8) (*.f64 #s(literal -8 binary64) y))
#s(approx y y)
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))))))))
#s(approx (+ (* (/ (* y -8) x) (/ y x)) 1) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* y -8) x) (/ y x)) 1) (/ (* y -8) x) (* y -8) y -8 x (/ y x) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* y y) (* x x)) -8) 1) (/ (* y y) (* x x)) (* y y) (* x x))
2.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* y -8) x) (/ y x)) 1) (/ (* y -8) x) (* y -8) y -8 x (/ y x) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* y y) (* x x)) -8) 1) (/ (* y y) (* x x)) (* y y) (* x x))
2.0ms	x	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* y -8) x) (/ y x)) 1) (/ (* y -8) x) (* y -8) y -8 x (/ y x) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* y y) (* x x)) -8) 1) (/ (* y y) (* x x)) (* y y) (* x x))
2.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* y -8) x) (/ y x)) 1) (/ (* y -8) x) (* y -8) y -8 x (/ y x) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* y y) (* x x)) -8) 1) (/ (* y y) (* x x)) (* y y) (* x x))
2.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* y -8) x) (/ y x)) 1) (/ (* y -8) x) (* y -8) y -8 x (/ y x) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* y y) (* x x)) -8) 1) (/ (* y y) (* x x)) (* y y) (* x x))

rewrite1.6s (19.7%)

Memory

39.0MiB live, 185.0MiB allocated; 41ms collecting garbage

Counts

14 → 497

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -8 binary64)) x)
(*.f64 y #s(literal -8 binary64))
y
#s(literal -8 binary64)
x
(/.f64 y x)
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -8 binary64) #s(literal 1 binary64))
(/.f64 (.f64 y y) (.f64 x x))
(*.f64 y y)
(*.f64 x x)

Outputs
#s(approx (/ (- (* x x) (* (* y y) 4)) (+ (* x x) (* (* y y) 4))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -8 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 y #s(literal -8 binary64)) (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 (.f64 y #s(literal -8 binary64)) y (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 #s(literal -8 binary64))) (/.f64 (.f64 y y) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) (*.f64 x x)))
(+.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) (*.f64 x x)))
(+.f64 (/.f64 x x) (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) (*.f64 x x)) (neg.f64 #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 y #s(literal -8 binary64)) (/.f64 y x) x) x)
(/.f64 (fma.f64 (.f64 y #s(literal -8 binary64)) y (.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (.f64 y #s(literal -8 binary64)) y (.f64 x x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (fma.f64 (.f64 y #s(literal -8 binary64)) y (.f64 x x)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 (fma.f64 (.f64 y #s(literal -8 binary64)) y (.f64 x x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) x) #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x)) (neg.f64 (.f64 (.f64 y #s(literal -8 binary64)) y))) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y #s(literal -8 binary64)) (/.f64 y x) x)) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 (.f64 y #s(literal -8 binary64)) y (.f64 x x))) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 y #s(literal -8 binary64)) y)) #s(literal 2 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 2 binary64))) (.f64 (neg.f64 (.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (.f64 x x)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 y #s(literal -8 binary64)) y)))) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 x x))))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 y #s(literal -8 binary64)) y)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 x x)))) (.f64 (neg.f64 (.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (.f64 x x)) (.f64 (neg.f64 (.f64 (.f64 y #s(literal -8 binary64)) y)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 x x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) (fabs.f64 x))) (fabs.f64 x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) x))) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 (.f64 y #s(literal -8 binary64)) y))) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (neg.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) x))) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) x)) #s(literal 2 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) (fabs.f64 x)) #s(literal 2 binary64) (.f64 (fabs.f64 x) #s(literal 2 binary64))) (.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) (fabs.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fabs.f64 x))) (.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) (*.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (.f64 (neg.f64 (/.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) x)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
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(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (fabs.f64 y))) (neg.f64 (fabs.f64 y)))
(.f64 (.f64 (neg.f64 (fabs.f64 y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (fabs.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fabs.f64 (neg.f64 (/.f64 y (fabs.f64 x)))) (fabs.f64 (neg.f64 (/.f64 y (fabs.f64 x)))))
(*.f64 (fabs.f64 (neg.f64 (/.f64 (fabs.f64 y) x))) (fabs.f64 (neg.f64 (/.f64 (fabs.f64 y) x))))
(*.f64 (fabs.f64 (fabs.f64 (/.f64 y x))) (fabs.f64 (fabs.f64 (/.f64 y x))))
(*.f64 (fabs.f64 (/.f64 y (fabs.f64 x))) (fabs.f64 (/.f64 y (fabs.f64 x))))
(*.f64 (fabs.f64 (/.f64 (fabs.f64 y) x)) (fabs.f64 (/.f64 (fabs.f64 y) x)))
(*.f64 (/.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 x)) (/.f64 (fabs.f64 y) (neg.f64 (fabs.f64 x))))
(*.f64 (/.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 x)) (/.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 x)))
(.f64 (/.f64 (.f64 y y) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(*.f64 (/.f64 (fabs.f64 y) (neg.f64 (fabs.f64 x))) (/.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 x)))
(*.f64 (/.f64 (fabs.f64 y) (neg.f64 (fabs.f64 x))) (/.f64 (fabs.f64 y) (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (fabs.f64 (/.f64 y x))) (neg.f64 (fabs.f64 (/.f64 y x))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (fabs.f64 y) x))) (neg.f64 (neg.f64 (/.f64 (fabs.f64 y) x))))
(*.f64 (neg.f64 (neg.f64 (/.f64 y (fabs.f64 x)))) (neg.f64 (neg.f64 (/.f64 y (fabs.f64 x)))))
(.f64 (fabs.f64 y) (.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (fabs.f64 y) (.f64 (/.f64 (fabs.f64 y) x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (neg.f64 y) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))
(.f64 (neg.f64 y) (.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (neg.f64 y) (.f64 (neg.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (neg.f64 (fabs.f64 y)) (/.f64 (fabs.f64 y) (neg.f64 (.f64 x x))))
(.f64 (neg.f64 (fabs.f64 y)) (/.f64 (neg.f64 (fabs.f64 y)) (.f64 x x)))
(.f64 (neg.f64 (fabs.f64 y)) (.f64 (fabs.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (neg.f64 (fabs.f64 y)) (.f64 (neg.f64 (fabs.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fabs.f64 (/.f64 (.f64 y y) (.f64 x x)))
(/.f64 (.f64 y y) (.f64 x x))
(/.f64 (.f64 (.f64 y y) (neg.f64 #s(literal 1 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 y y) x) x)
(/.f64 (neg.f64 (/.f64 (*.f64 y y) x)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (.f64 y y)) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 x x)))
(/.f64 (/.f64 (*.f64 y y) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (.f64 (/.f64 (.f64 y y) x) (neg.f64 #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1 binary64)) x)
(/.f64 (.f64 (neg.f64 (.f64 y y)) (neg.f64 #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 y y)) #s(literal 1 binary64)) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 y y)) (fabs.f64 x))
(/.f64 (*.f64 (fabs.f64 (/.f64 y x)) (fabs.f64 y)) (fabs.f64 x))
(/.f64 (*.f64 (neg.f64 (/.f64 (fabs.f64 y) x)) (fabs.f64 y)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (/.f64 y (fabs.f64 x))) (neg.f64 y)) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 y (fabs.f64 x)) y) (fabs.f64 x))
(/.f64 (/.f64 (neg.f64 (*.f64 y y)) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 (*.f64 y y) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 y y) (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(neg.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 x x))))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (/.f64 y x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (/.f64 y x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (/.f64 y (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fabs.f64 y) x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (/.f64 (fabs.f64 y) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (fabs.f64 x)) #s(literal 2 binary64))
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y))
(*.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))))
(.f64 (neg.f64 (fabs.f64 y)) (.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 y y))
(fabs.f64 (neg.f64 (*.f64 y y)))
(+.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (*.f64 y y)))
(+.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (.f64 #s(literal 0 binary64) (.f64 y y)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (.f64 (.f64 y y) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 (*.f64 y y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (*.f64 y y) #s(literal 0 binary64)))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 0 binary64)))
(fma.f64 y y (.f64 #s(literal 0 binary64) (.f64 y y)))
(fma.f64 y y (.f64 (.f64 y y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (.f64 (*.f64 y y) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (.f64 #s(literal 0 binary64) (.f64 y y)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (.f64 (.f64 y y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 y) (.f64 #s(literal 0 binary64) (.f64 y y)))
(fma.f64 (neg.f64 y) (neg.f64 y) (.f64 (.f64 y y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (.f64 #s(literal 0 binary64) (.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y) (.f64 #s(literal 0 binary64) (.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (.f64 (.f64 y y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y) (.f64 (.f64 y y) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))) (.f64 #s(literal 0 binary64) (.f64 y y)))
(fma.f64 (neg.f64 (fabs.f64 y)) (.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))) (.f64 (.f64 y y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 y)) (.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (.f64 (*.f64 y y) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (*.f64 y y)))
(neg.f64 (.f64 (neg.f64 (.f64 y y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 y y) (*.f64 y y)))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))

eval167.0ms (2%)

Memory: -24.8MiB live, 64.1MiB allocated; 19ms collecting garbage
Compiler: Compiled 3 243 to 1 592 computations (50.9% saved)

prune80.0ms (1%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	419	0	419
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	419	6	425

Accuracy

100.0%

Counts

425 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (/.f64 y (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x))) (.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)) (.f64 y #s(literal 4 binary64))) (.f64 x x)))
✓	50.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 y #s(literal 4 binary64)) y)))
✓	44.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -8 binary64) #s(literal 1 binary64)))
✓	54.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64)))
✓	53.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	47.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 175 to 119 computations (32% saved)

regimes41.0ms (0.5%)

Memory

-24.0MiB live, 30.5MiB allocated; 22ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) y)))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Calls

5 calls:

12.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
9.0ms	y
9.0ms	x
5.0ms	(*.f64 x x)
4.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
81.9%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
81.9%	3	`(*.f64 x x)`
77.0%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
81.9%	3	`x`
81.9%	3	`y`

Compiler

Compiled 21 to 21 computations (0% saved)

regimes9.0ms (0.1%)

Memory

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

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -8 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64)))

Outputs

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

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

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
78.7%	2	`(*.f64 x x)`
78.7%	2	`x`
75.8%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
75.8%	2	`y`

Compiler

Compiled 8 to 12 computations (-50% saved)

regimes4.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

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

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
78.4%	2	`(*.f64 x x)`
78.4%	2	`x`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes11.0ms (0.1%)

Memory

-35.1MiB live, 10.9MiB allocated; 5ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Calls

5 calls:

6.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
1.0ms	y
1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
47.3%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
47.3%	1	`y`
47.3%	1	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
47.3%	1	`(*.f64 x x)`
47.3%	1	`x`

Compiler

Compiled 21 to 21 computations (0% saved)

bsearch16.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	4.544682808510397e+126	6.282163436089785e+126
10.0ms	5.352533084667047e-170	7.891043352523112e-167

Samples

7.0ms

176×

valid

Compiler

Compiled 337 to 296 computations (12.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult!: 2.0ms (54.6% of total)

ival-div!: 1.0ms (27.3% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	38220908889956.5	60699709114856.78

Samples

3.0ms

64×

valid

Compiler

Compiled 154 to 130 computations (15.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult!: 1.0ms (73.5% of total)

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

adjust: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	38220908889956.5	60699709114856.78

Compiler

Compiled 50 to 38 computations (24% saved)

derivations1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 61 to 38 computations (37.7% saved)

preprocess121.0ms (1.5%)

Memory

2.7MiB live, 48.8MiB allocated; 4ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 766 to 499 computations (34.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample758.0ms (9.3%)

preprocess88.0ms (1.1%)

series224.0ms (2.7%)

rewrite2.2s (27.3%)

eval202.0ms (2.5%)

prune37.0ms (0.4%)

series297.0ms (3.6%)

rewrite1.7s (21.4%)

eval256.0ms (3.1%)

prune38.0ms (0.5%)

series235.0ms (2.9%)

rewrite1.6s (19.7%)

eval167.0ms (2%)

prune80.0ms (1%)

regimes41.0ms (0.5%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes11.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch6.0ms (0.1%)

bsearch1.0ms (0%)

derivations1.0ms (0%)

preprocess121.0ms (1.5%)

end0.0ms (0%)

Profiling