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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample1.1s (51.4%)

Memory

-2.8MiB live, 1 153.6MiB allocated; 380ms collecting garbage

Samples

893.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 494.0ms

ival-mult!: 449.0ms (90.9% of total)

ival-add!: 43.0ms (8.7% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess49.0ms (2.2%)

Memory

-18.7MiB live, 72.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	84
1	111	68
2	361	68
3	826	66
4	1890	66

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.0%	(+.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 (0.4%)

Memory

27.4MiB live, 27.4MiB 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))
2.0ms	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	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	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 (8.5%)

Memory

26.8MiB live, 252.3MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	524
0	101	470
1	504	461
0	4885	414

Stop Event

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

Counts

34 → 303

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

eval52.0ms (2.4%)

Memory: -38.5MiB live, 66.4MiB allocated; 32ms collecting garbage
Compiler: Compiled 2 162 to 777 computations (64.1% saved)

prune7.0ms (0.3%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	286	7	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	287	7	294

Accuracy

100.0%

Counts

294 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
	55.8%	(+.f64 #s(approx (+ (* x x) (* (* x 2) y)) (.f64 (+.f64 x x) y)) (.f64 y y))
▶	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
▶	59.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	58.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
▶	58.7%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 144 to 144 computations (0% saved)

series11.0ms (0.5%)

Memory

-24.8MiB live, 22.3MiB allocated; 2ms collecting garbage

Counts

14 → 56

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((+ (* (+ (* y 2) x) x) (* y y)) (+ (* y 2) x) y 2 x (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x))
1.0ms	x	@	-inf	((+ (* (+ (* y 2) x) x) (* y y)) (+ (* y 2) x) y 2 x (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x))
1.0ms	y	@	-inf	((+ (* (+ (* y 2) x) x) (* y y)) (+ (* y 2) x) y 2 x (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x))
1.0ms	x	@	inf	((+ (* (+ (* y 2) x) x) (* y y)) (+ (* y 2) x) y 2 x (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x))
1.0ms	y	@	inf	((+ (* (+ (* y 2) x) x) (* y y)) (+ (* y 2) x) y 2 x (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x))

rewrite192.0ms (8.8%)

Memory

-0.0MiB live, 191.8MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	1100
0	170	988
1	758	970
0	6628	948

Stop Event

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

Counts

70 → 377

Calls

Call 1

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

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

eval37.0ms (1.7%)

Memory: 24.7MiB live, 70.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 220 to 1 031 computations (68% saved)

prune14.0ms (0.6%)

Memory

-30.7MiB live, 23.5MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	408	2	410
Fresh	2	0	2
Picked	0	5	5
Done	0	0	0
Total	410	7	417

Accuracy

100.0%

Counts

417 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
▶	60.5%	(fma.f64 #s(approx (+ (* y 2) x) (+.f64 y y)) x (*.f64 y y))
✓	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	59.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 (+.f64 x y) y) x))
✓	58.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	58.7%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 76 to 76 computations (0% saved)

series6.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

10 → 56

Calls

Call 1

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

Calls

6 calls:

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

rewrite39.0ms (1.8%)

Memory

2.9MiB live, 49.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	1059
0	164	1003
0	768	894

Stop Event

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

Counts

66 → 122

Calls

Call 1

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

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

eval9.0ms (0.4%)

Memory: 18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 757 to 370 computations (51.1% saved)

prune4.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	93	8	101

Accuracy

100.0%

Counts

101 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
✓	60.5%	(fma.f64 #s(approx (+ (* y 2) x) (+.f64 y y)) x (*.f64 y y))
✓	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	59.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 (+.f64 x y) y) x))
▶	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 #s(approx (+ x y) x) y) x))
✓	58.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	58.7%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 90 to 90 computations (0% saved)

series5.0ms (0.2%)

Memory

-39.3MiB live, 7.4MiB allocated; 2ms collecting garbage

Counts

6 → 35

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (+ x y) y) x) (+ (+ x y) y) (+ x y) x y)
1.0ms	y	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (+ x y) y) x) (+ (+ x y) y) (+ x y) x y)
1.0ms	x	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (+ x y) y) x) (+ (+ x y) y) (+ x y) x y)
1.0ms	y	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (+ x y) y) x) (+ (+ x y) y) (+ x y) x y)
0.0ms	x	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (+ x y) y) x) (+ (+ x y) y) (+ x y) x y)

rewrite171.0ms (7.8%)

Memory

48.7MiB live, 186.9MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	643
0	127	598
1	679	589
0	6549	527

Stop Event

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

Counts

41 → 65

Calls

Call 1

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

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

eval6.0ms (0.3%)

Memory: -36.8MiB live, 9.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 526 to 227 computations (56.8% saved)

prune4.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	50	8	58

Accuracy

100.0%

Counts

58 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
✓	60.5%	(fma.f64 #s(approx (+ (* y 2) x) (+.f64 y y)) x (*.f64 y y))
✓	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	59.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 (+.f64 x y) y) x))
✓	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 #s(approx (+ x y) x) y) x))
✓	58.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	58.7%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 162 to 134 computations (17.3% saved)

regimes11.0ms (0.5%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

4.0ms	y
3.0ms	x
3.0ms	(+.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)

regimes11.0ms (0.5%)

Memory

-28.7MiB live, 17.9MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

3 calls:

4.0ms	x
3.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
3.0ms	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)

regimes8.0ms (0.4%)

Memory

16.2MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Results

Accuracy	Segments	Branch
64.2%	3	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
90.7%	2	`x`
88.3%	2	`y`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
90.7%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB 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 (+.f64 #s(approx (+ x y) x) y) 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

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
90.5%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB 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	x
1.0ms	y
1.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Results

Accuracy	Segments	Branch
58.7%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
58.7%	1	`y`
58.7%	1	`x`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch17.0ms (0.8%)

Memory

-26.8MiB live, 23.9MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-2.6581994586344077e-63	-3.010307041370317e-74

Samples

6.0ms

160×

valid

Compiler

Compiled 216 to 234 computations (-8.3% saved)

Precisions

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

ival-mult!: 3.0ms (90.4% of total)

ival-add!: 1.0ms (30.1% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.6581994586344077e-63	-3.010307041370317e-74

Compiler

Compiled 256 to 274 computations (-7% saved)

bsearch9.0ms (0.4%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-3.3182820842794227e-42	-7.657552180246982e-44

Samples

4.0ms

112×

valid

Compiler

Compiled 170 to 182 computations (-7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult!: 2.0ms (86.1% of total)

adjust: 0.0ms (0% of total)

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

derivations132.0ms (6%)

Memory

3.0MiB live, 141.6MiB allocated; 9ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 49 to 32 computations (34.7% saved)

preprocess65.0ms (3%)

Memory: -14.8MiB live, 130.9MiB allocated; 32ms collecting garbage
Compiler: Compiled 236 to 195 computations (17.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (51.4%)

preprocess49.0ms (2.2%)

series9.0ms (0.4%)

rewrite186.0ms (8.5%)

eval52.0ms (2.4%)

prune7.0ms (0.3%)

series11.0ms (0.5%)

rewrite192.0ms (8.8%)

eval37.0ms (1.7%)

prune14.0ms (0.6%)

series6.0ms (0.3%)

rewrite39.0ms (1.8%)

eval9.0ms (0.4%)

prune4.0ms (0.2%)

series5.0ms (0.2%)

rewrite171.0ms (7.8%)

eval6.0ms (0.3%)

prune4.0ms (0.2%)

regimes11.0ms (0.5%)

regimes11.0ms (0.5%)

regimes8.0ms (0.4%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch17.0ms (0.8%)

bsearch1.0ms (0%)

bsearch9.0ms (0.4%)

derivations132.0ms (6%)

preprocess65.0ms (3%)

end0.0ms (0%)

Profiling