Metrics for Examples.Basics.ProofTests:f4 from sbv-4.4

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample827.0ms (50.9%)

Memory

1.7MiB live, 901.6MiB allocated; 205ms collecting garbage

Samples

602.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 279.0ms

ival-mult!: 216.0ms (77.5% of total)

ival-add!: 61.0ms (21.9% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess51.0ms (3.1%)

Memory

-2.2MiB live, 43.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	84
1	127	68
2	539	32
3	1136	32
4	2446	32

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.4%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Symmetry

(sort x y)

Compiler

Compiled 18 to 18 computations (0% saved)

series9.0ms (0.5%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Counts

9 → 25

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) x (* (* x 2) y) (* x 2) 2 y (* y y))
1.0ms	x	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) x (* (* x 2) y) (* x 2) 2 y (* y y))
1.0ms	x	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) x (* (* x 2) y) (* x 2) 2 y (* y y))
1.0ms	y	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) x (* (* x 2) y) (* x 2) 2 y (* y y))
1.0ms	y	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) x (* (* x 2) y) (* x 2) 2 y (* y y))

rewrite186.0ms (11.5%)

Memory

-2.2MiB live, 226.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	524
0	101	468
1	568	370
0	6203	351

Stop Event

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

Counts

34 → 414

Calls

Call 1

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

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

eval65.0ms (4%)

Memory: -6.9MiB live, 140.1MiB allocated; 49ms collecting garbage
Compiler: Compiled 3 190 to 1 016 computations (68.2% saved)

prune7.0ms (0.5%)

Memory

28.6MiB live, 28.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	398	5	403
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	399	5	404

Accuracy

100.0%

Counts

404 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
▶	51.9%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
▶	59.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	60.7%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
▶	51.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 108 to 108 computations (0% saved)

series14.0ms (0.9%)

Memory

-26.4MiB live, 20.0MiB allocated; 6ms collecting garbage

Counts

14 → 56

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) 2 x y (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x))
2.0ms	x	@	-inf	((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) 2 x y (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x))
2.0ms	y	@	inf	((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) 2 x y (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x))
1.0ms	y	@	-inf	((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) 2 x y (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x))
1.0ms	x	@	inf	((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) 2 x y (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x))

rewrite168.0ms (10.3%)

Memory

25.0MiB live, 126.6MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	1100
0	170	978
1	848	830
0	8375	808

Stop Event

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

Counts

70 → 508

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y)) (fma.f64 x x (.f64 y (-.f64 (+.f64 x x) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 (+.f64 x x) y)))))
(.f64 (.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (.f64 y y)) (fma.f64 y y (.f64 x (-.f64 (+.f64 y y) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 (+.f64 y y) x)))))
(.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) (pow.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (fma.f64 y #s(literal 2 binary64) x)) x (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 (fma.f64 y #s(literal 2 binary64) x) x))))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (pow.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) y) (fma.f64 x #s(literal 2 binary64) y)) y (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 2 binary64) y) y))))))
(pow.f64 (+.f64 x y) #s(literal 2 binary64))
(pow.f64 (+.f64 y x) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) y) y) (fma.f64 x #s(literal 2 binary64) y))) (-.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 2 binary64) y) y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (.f64 (fma.f64 y #s(literal 2 binary64) x) x))) (-.f64 (.f64 y y) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (*.f64 (neg.f64 y) y)))))
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(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y y) (-.f64 (+.f64 y y) x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 8 binary64)) (fma.f64 (+.f64 y y) (-.f64 (+.f64 y y) x) (*.f64 x x))))
(+.f64 (+.f64 y y) x)
(+.f64 y (-.f64 y (neg.f64 x)))
(+.f64 y (+.f64 y x))
(+.f64 x (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(+.f64 x (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(+.f64 x (+.f64 y y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
#s(approx (+ (* 2 x) y) y)
#s(approx (+ (* 2 x) y) (fma.f64 x #s(literal 2 binary64) y))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
#s(approx (* (+ (* 2 x) y) y) (*.f64 y y))
#s(approx (* (+ (* 2 x) y) y) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
#s(approx (* (+ (* y 2) x) x) (*.f64 (+.f64 x x) y))
#s(approx (* (+ (* y 2) x) x) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
#s(approx (+ (* y 2) x) (+.f64 y y))
#s(approx (+ (* y 2) x) (fma.f64 y #s(literal 2 binary64) x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 (/.f64 (+.f64 y y) x) x x) x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y x) (+.f64 y y)) x) #s(literal -1 binary64)) x) x))
#s(approx (+ (* 2 x) y) (+.f64 x x))
#s(approx (+ (* 2 x) y) (*.f64 (-.f64 (/.f64 y x) #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 (/.f64 (+.f64 y y) x) x x) x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y x) (+.f64 y y)) x) #s(literal -1 binary64)) x) x))
#s(approx (* (+ (* 2 x) y) y) (*.f64 (+.f64 x x) y))
#s(approx (* (+ (* 2 x) y) y) (*.f64 (fma.f64 y (/.f64 y x) (+.f64 y y)) x))
#s(approx (* (+ (* y 2) x) x) (*.f64 x x))
#s(approx (* (+ (* y 2) x) x) (*.f64 (fma.f64 (/.f64 (+.f64 y y) x) x x) x))
#s(approx (+ (* y 2) x) x)
#s(approx (+ (* y 2) x) (fma.f64 (/.f64 (+.f64 y y) x) x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y x) (+.f64 y y)) x) #s(literal -1 binary64)) x) x))
#s(approx (+ (* 2 x) y) (*.f64 (-.f64 (/.f64 y x) #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y x) (+.f64 y y)) x) #s(literal -1 binary64)) x) x))
#s(approx (* (+ (* 2 x) y) y) (*.f64 (fma.f64 y (/.f64 y x) (+.f64 y y)) x))
#s(approx (+ (* y 2) x) (fma.f64 (/.f64 (+.f64 y y) x) x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
#s(approx y y)
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)))
#s(approx (* y y) (*.f64 y y))
#s(approx (* (+ (* 2 x) y) y) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
#s(approx (* (+ (* y 2) x) x) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 (/.f64 (+.f64 x x) y) y y) y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) (+.f64 x x)) y) #s(literal -1 binary64)) y) y))
#s(approx (+ (* 2 x) y) (fma.f64 (/.f64 (+.f64 x x) y) y y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 (/.f64 (+.f64 x x) y) y y) y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) (+.f64 x x)) y) #s(literal -1 binary64)) y) y))
#s(approx (* (+ (* 2 x) y) y) (*.f64 (fma.f64 (/.f64 (+.f64 x x) y) y y) y))
#s(approx (* (+ (* y 2) x) x) (*.f64 (fma.f64 x (/.f64 x y) (+.f64 x x)) y))
#s(approx (+ (* y 2) x) (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) (+.f64 x x)) y) #s(literal -1 binary64)) y) y))
#s(approx (+ (* 2 x) y) (fma.f64 (/.f64 (+.f64 x x) y) y y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) (+.f64 x x)) y) #s(literal -1 binary64)) y) y))
#s(approx (* (+ (* y 2) x) x) (*.f64 (fma.f64 x (/.f64 x y) (+.f64 x x)) y))
#s(approx (+ (* y 2) x) (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y))

eval84.0ms (5.1%)

Memory: -11.1MiB live, 77.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 528 to 1 334 computations (70.5% saved)

prune11.0ms (0.7%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	552	0	552
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	552	5	557

Accuracy

100.0%

Counts

557 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
✓	51.9%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	59.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	60.7%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	51.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 101 to 79 computations (21.8% saved)

regimes25.0ms (1.6%)

Memory

-43.2MiB live, 13.2MiB allocated; 6ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))

Calls

3 calls:

20.0ms	x
2.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
2.0ms	y

Results

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

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes6.0ms (0.3%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Results

Accuracy	Segments	Branch
60.7%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
88.2%	2	`x`
91.7%	2	`y`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
91.4%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	y
1.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
1.0ms	x

Results

Accuracy	Segments	Branch
51.3%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
51.3%	1	`x`
51.3%	1	`y`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch11.0ms (0.7%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.4592787794823065e-124	5.8014017533510476e-120

Samples

5.0ms

128×

valid

Compiler

Compiled 208 to 222 computations (-6.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult!: 2.0ms (76.6% of total)

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4592787794823065e-124	5.8014017533510476e-120

Compiler

Compiled 192 to 206 computations (-7.3% saved)

derivations114.0ms (7%)

Memory

-19.1MiB live, 74.6MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 38 to 23 computations (39.5% saved)

preprocess40.0ms (2.5%)

Memory: -11.5MiB live, 34.6MiB allocated; 4ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 173 to 134 computations (22.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample827.0ms (50.9%)

preprocess51.0ms (3.1%)

series9.0ms (0.5%)

rewrite186.0ms (11.5%)

eval65.0ms (4%)

prune7.0ms (0.5%)

series14.0ms (0.9%)

rewrite168.0ms (10.3%)

eval84.0ms (5.1%)

prune11.0ms (0.7%)

regimes25.0ms (1.6%)

regimes6.0ms (0.3%)

regimes2.0ms (0.1%)

regimes3.0ms (0.2%)

bsearch11.0ms (0.7%)

bsearch1.0ms (0%)

derivations114.0ms (7%)

preprocess40.0ms (2.5%)

end0.0ms (0%)

Profiling