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

start0.0ms (0%)

Memory: 0.1MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample737.0ms (33%)

Memory

17.5MiB live, 1 172.8MiB allocated; 240ms collecting garbage

Samples

457.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-mult!: 199.0ms (86.3% of total)

ival-add!: 30.0ms (13% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess44.0ms (1.9%)

Memory

-4.7MiB live, 41.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	84
1	111	68
2	385	68
3	867	66
4	2017	66

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.0%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Symmetry

(sort x y)

Compiler

Compiled 26 to 18 computations (30.8% saved)

series8.0ms (0.4%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

9 → 19

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) #s(hole binary64 (* 2 x)))
#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)) (* 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 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 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))

rewrite210.0ms (9.4%)

Memory

-6.4MiB live, 166.1MiB allocated; 114ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	436
0	94	392
1	500	383
0	4806	343

Stop Event

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

Counts

28 → 297

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) #s(hole binary64 (* 2 x)))
#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)) (* 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 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 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 y y) y) (.f64 (.f64 y 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 y y) y) (.f64 (.f64 y 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 y y) y) (.f64 (.f64 y 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 #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) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (.f64 #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) (neg.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) (.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 (.f64 #s(literal 1 binary64) y) y (.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 (.f64 (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 (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 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(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 (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 y #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 (fabs.f64 (fabs.f64 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 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 (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 (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 (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 (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 (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) y (-.f64 (.f64 x x) (.f64 (neg.f64 y) y)))
(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 (fma.f64 x x (*.f64 y y)))
(fma.f64 (+.f64 y y) x (fma.f64 y y (*.f64 x x)))
(fma.f64 (+.f64 y y) x (-.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 x) #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 (neg.f64 y) y)))
(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) (fma.f64 x x (*.f64 y y)))
(fma.f64 y (+.f64 x x) (fma.f64 y y (*.f64 x x)))
(fma.f64 y (+.f64 x x) (-.f64 (.f64 x x) (.f64 (neg.f64 y) y)))
(fma.f64 y y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(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 #s(literal 2 binary64) (.f64 y x) (-.f64 (.f64 x x) (*.f64 (neg.f64 y) y)))
(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) (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(fma.f64 x (+.f64 y y) (-.f64 (.f64 x x) (.f64 (neg.f64 y) y)))
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(-.f64 (fma.f64 y y (.f64 x x)) (.f64 (*.f64 #s(literal -2 binary64) x) y))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) y) (fma.f64 #s(literal 2 binary64) x y)) (fma.f64 y y (.f64 x (-.f64 (+.f64 y y) x)))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 y y (.f64 x (-.f64 (+.f64 y y) x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (fma.f64 y #s(literal 2 binary64) x)) x) (fma.f64 x x (.f64 y (-.f64 (+.f64 x x) y)))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 x x (.f64 y (-.f64 (+.f64 x x) y)))))
(-.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (.f64 (neg.f64 x) x))
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(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 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) (+.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)) (* 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 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))

eval28.0ms (1.3%)

Memory: 11.9MiB live, 56.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 268 to 767 computations (85.4% saved)

prune13.0ms (0.6%)

Memory

-32.5MiB live, 18.7MiB allocated; 9ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	283	5	288
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	284	5	289

Accuracy

100.0%

Counts

289 → 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))
▶	98.4%	(fma.f64 y y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
▶	58.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
▶	57.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	57.4%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 150 to 98 computations (34.7% saved)

series9.0ms (0.4%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

14 → 33

Calls

Call 1

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

Calls

6 calls:

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

rewrite174.0ms (7.8%)

Memory

23.1MiB live, 162.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	647
0	151	607
1	755	597
0	6677	583

Stop Event

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

Counts

47 → 502

Calls

Call 1

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

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

eval74.0ms (3.3%)

Memory: -9.4MiB live, 87.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 11 869 to 1 133 computations (90.5% saved)

prune28.0ms (1.3%)

Memory

-15.9MiB live, 30.0MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	498	3	501
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	499	7	506

Accuracy

100.0%

Counts

506 → 7

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))
▶	55.9%	(fma.f64 y y (.f64 #s(approx (+ ( y 2) x) (+.f64 y y)) x))
✓	58.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	57.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	57.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 (+.f64 y x) x) y))
▶	16.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( y 2) x) (+.f64 y y)) x))
✓	57.4%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 126 to 80 computations (36.5% saved)

series6.0ms (0.3%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

11 → 38

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite187.0ms (8.4%)

Memory

54.2MiB live, 99.8MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	776
0	160	726
0	817	649

Stop Event

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

Counts

49 → 93

Calls

Call 1

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

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

eval9.0ms (0.4%)

Memory: 13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 412 to 359 computations (85.1% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	92	7	99

Accuracy

100.0%

Counts

99 → 7

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))
✓	55.9%	(fma.f64 y y (.f64 #s(approx (+ ( y 2) x) (+.f64 y y)) x))
✓	58.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	57.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	57.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 (+.f64 y x) x) y))
✓	57.4%	#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 118 to 76 computations (35.6% saved)

series23.0ms (1%)

Memory

-41.4MiB live, 4.1MiB allocated; 6ms collecting garbage

Counts

3 → 13

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x)
1.0ms	y	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x)
1.0ms	x	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x)
0.0ms	x	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x)
0.0ms	y	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x)

rewrite314.0ms (14.1%)

Memory

3.3MiB live, 197.2MiB allocated; 135ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	330
0	74	298
1	442	290
0	4469	258

Stop Event

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

Counts

16 → 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)) #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 (+ (+ (* 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)) (* 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)) (* 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)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))))

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

eval4.0ms (0.2%)

Memory: 8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 846 to 135 computations (84% saved)

prune4.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	40	7	47

Accuracy

100.0%

Counts

47 → 7

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))
✓	55.9%	(fma.f64 y y (.f64 #s(approx (+ ( y 2) x) (+.f64 y y)) x))
✓	58.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	57.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	57.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 (+.f64 y x) x) y))
✓	57.4%	#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 283 to 113 computations (60.1% saved)

regimes11.0ms (0.5%)

Memory

-13.5MiB live, 33.5MiB allocated; 1ms collecting garbage

Counts

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

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

Calls

3 calls:

4.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
3.0ms	x
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 15 to 13 computations (13.3% saved)

regimes9.0ms (0.4%)

Memory

27.5MiB live, 27.5MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
98.4%	1	`x`
98.4%	1	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes21.0ms (0.9%)

Memory

-27.4MiB live, 19.9MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

3 calls:

16.0ms	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
66.0%	4	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
90.5%	2	`x`
89.2%	2	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB 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 #s(approx (+ ( y 2) x) (+.f64 y 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 y x) x) y))

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
90.5%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB 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 #s(approx (+ (* y 2) x) (+.f64 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 y y))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
90.3%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB 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	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
1.0ms	x
1.0ms	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 15 to 13 computations (13.3% saved)

bsearch13.0ms (0.6%)

Memory

-29.4MiB live, 17.9MiB allocated; 9ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-1.6613716763802633e-97	-1.0510456616670241e-98

Samples

4.0ms

96×

valid

Compiler

Compiled 202 to 146 computations (27.7% saved)

Precisions

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

ival-mult!: 2.0ms (100.9% of total)

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.6613716763802633e-97	-1.0510456616670241e-98

Compiler

Compiled 238 to 170 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.6613716763802633e-97	-1.0510456616670241e-98

Compiler

Compiled 220 to 158 computations (28.2% saved)

derivations203.0ms (9.1%)

Memory

35.8MiB live, 168.4MiB allocated; 20ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 149 to 32 computations (78.5% saved)

preprocess91.0ms (4.1%)

Memory: 1.2MiB live, 139.7MiB allocated; 31ms collecting garbage
Compiler: Compiled 460 to 195 computations (57.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample737.0ms (33%)

preprocess44.0ms (1.9%)

series8.0ms (0.4%)

rewrite210.0ms (9.4%)

eval28.0ms (1.3%)

prune13.0ms (0.6%)

series9.0ms (0.4%)

rewrite174.0ms (7.8%)

eval74.0ms (3.3%)

prune28.0ms (1.3%)

series6.0ms (0.3%)

rewrite187.0ms (8.4%)

eval9.0ms (0.4%)

prune4.0ms (0.2%)

series23.0ms (1%)

rewrite314.0ms (14.1%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

regimes11.0ms (0.5%)

regimes9.0ms (0.4%)

regimes21.0ms (0.9%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch13.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

derivations203.0ms (9.1%)

preprocess91.0ms (4.1%)

end0.0ms (0%)

Profiling