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

0.7MiB live, 0.7MiB 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)

sample3.8s (81.5%)

Memory

-4.8MiB live, 1 503.3MiB allocated; 3.6s collecting garbage

Samples

3.3s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-mult!: 3.1s (98.9% of total)

ival-add!: 32.0ms (1% of total)

adjust: 1.0ms (0% of total)

Bogosity

preprocess75.0ms (1.6%)

Memory

-27.8MiB live, 20.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	84
1	107	68
2	366	66
3	857	66
4	1718	66
5	4414	66
6	7666	66

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.5%	(+.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 (0.2%)

Memory

14.6MiB live, 14.6MiB 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))

rewrite228.0ms (4.9%)

Memory

43.4MiB live, 213.2MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	524
0	101	468
1	504	370
0	5077	351

Stop Event

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

Counts

34 → 327

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

eval45.0ms (1%)

Memory: 11.8MiB live, 56.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 2 316 to 826 computations (64.3% saved)

prune11.0ms (0.2%)

Memory

-35.3MiB live, 10.6MiB allocated; 7ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	316	4	320
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	317	4	321

Accuracy

100.0%

Counts

321 → 4

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))
▶	57.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
▶	58.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
▶	56.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 41 to 41 computations (0% saved)

series9.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

12 → 49

Calls

Call 1

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

Calls

6 calls:

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

rewrite203.0ms (4.3%)

Memory

-1.9MiB live, 195.4MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	964
0	154	854
1	734	710
0	6752	691

Stop Event

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

Counts

61 → 346

Calls

Call 1

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

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

eval39.0ms (0.8%)

Memory: 10.9MiB live, 109.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 2 589 to 867 computations (66.5% saved)

prune8.0ms (0.2%)

Memory

-25.6MiB live, 21.5MiB allocated; 1ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	351	1	352
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	351	5	356

Accuracy

100.0%

Counts

356 → 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))
▶	58.4%	(fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x))
✓	57.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	58.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	56.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 50 to 50 computations (0% saved)

series3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

6 → 23

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (+ x x) x y (* x x))
1.0ms	x	@	inf	((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (+ x x) x y (* x x))
0.0ms	x	@	0	((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (+ x x) x y (* x x))
0.0ms	y	@	-inf	((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (+ x x) x y (* x x))
0.0ms	y	@	inf	((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (+ x x) x y (* x x))

rewrite38.0ms (0.8%)

Memory

5.7MiB live, 51.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	432
0	99	423
0	532	375

Stop Event

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

Counts

29 → 48

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 9.8MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 359 to 158 computations (56% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	44	5	49

Accuracy

100.0%

Counts

49 → 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))
✓	58.4%	(fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x))
✓	57.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	58.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	56.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 93 to 78 computations (16.1% saved)

regimes54.0ms (1.2%)

Memory

-25.5MiB live, 20.7MiB allocated; 56ms 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 y #s(literal 2 binary64) x) x))
(fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 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:

49.0ms	x
2.0ms	y
2.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y 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)

regimes5.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB 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 y #s(literal 2 binary64) x) x))
(fma.f64 #s(approx (+ (* 2 x) y) (+.f64 x x)) y (*.f64 x x))

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

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
68.2%	3	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
89.3%	2	`x`
88.1%	2	`y`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes3.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB 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	x
1.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Results

Accuracy	Segments	Branch
56.3%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
56.3%	1	`y`
56.3%	1	`x`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch19.0ms (0.4%)

Memory

-24.3MiB live, 25.3MiB allocated; 9ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-4.435654158463776e-135	-1.939721091748206e-140

Samples

6.0ms

144×

valid

Compiler

Compiled 214 to 230 computations (-7.5% saved)

Precisions

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

ival-mult!: 3.0ms (94.9% of total)

ival-add!: 1.0ms (31.6% of total)

adjust: 0.0ms (0% of total)

derivations85.0ms (1.8%)

Memory

-9.1MiB live, 84.3MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 26 to 19 computations (26.9% saved)

preprocess21.0ms (0.5%)

Memory: 40.2MiB live, 40.2MiB allocated; 0ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 113 to 94 computations (16.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample3.8s (81.5%)

preprocess75.0ms (1.6%)

series9.0ms (0.2%)

rewrite228.0ms (4.9%)

eval45.0ms (1%)

prune11.0ms (0.2%)

series9.0ms (0.2%)

rewrite203.0ms (4.3%)

eval39.0ms (0.8%)

prune8.0ms (0.2%)

series3.0ms (0.1%)

rewrite38.0ms (0.8%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

regimes54.0ms (1.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch19.0ms (0.4%)

derivations85.0ms (1.8%)

preprocess21.0ms (0.5%)

end0.0ms (0%)

Profiling