Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, E

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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 17 to 9 computations (47.1% saved)

sample756.0ms (42.7%)

Memory

25.5MiB live, 853.0MiB allocated; 241ms collecting garbage

Samples

461.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 247.0ms

ival-mult!: 194.0ms (78.7% of total)

ival-add!: 51.0ms (20.7% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess54.0ms (3.1%)

Memory

31.5MiB live, 31.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	92
1	93	80
2	290	56
3	606	54
4	1552	54
5	4299	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Symmetry

(abs x)

(abs y)

Compiler

Compiled 18 to 14 computations (22.2% saved)

series43.0ms (2.4%)

Memory

-51.7MiB live, 5.6MiB allocated; 11ms collecting garbage

Counts

7 → 17

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (* 2 (pow y 2))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow x 2))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) x (* y y) y)
5.0ms	x	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	x	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	y	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) x (* y y) y)

rewrite115.0ms (6.5%)

Memory

29.5MiB live, 166.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	380
0	65	348
1	334	312
0	3147	285

Stop Event

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

Counts

24 → 346

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (* 2 (pow y 2))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow x 2))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))

Outputs
(/.f64 (-.f64 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 y y) y) y))) (-.f64 (fma.f64 x x (.f64 y y)) (*.f64 y (+.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (fma.f64 y (+.f64 y y) (.f64 x x)) (fma.f64 y (+.f64 y y) (.f64 x x)))) (-.f64 (.f64 y y) (fma.f64 y (+.f64 y y) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 y y) y) y))) (-.f64 (.f64 x x) (.f64 #s(literal 3 binary64) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 y y) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 (fma.f64 y (+.f64 y y) (.f64 x x)) (fma.f64 y (+.f64 y y) (.f64 x x)) (fma.f64 (.f64 (.f64 y y) y) y (.f64 (fma.f64 y (+.f64 y y) (.f64 x x)) (*.f64 (neg.f64 y) y)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) (-.f64 (.f64 y (+.f64 y y)) (fma.f64 x x (.f64 y y))))) (neg.f64 (-.f64 (.f64 y (+.f64 y y)) (fma.f64 x x (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) (fma.f64 y (+.f64 y y) (.f64 (+.f64 x y) (-.f64 x y))))) (neg.f64 (fma.f64 y (+.f64 y y) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 y y) y) y) (.f64 (fma.f64 x x (.f64 y y)) (-.f64 (fma.f64 x x (.f64 y y)) (*.f64 y (+.f64 y y)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y) (pow.f64 (fma.f64 y (+.f64 y y) (.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 y (+.f64 y y) (.f64 x x)) (fma.f64 y (+.f64 y y) (.f64 x x)) (.f64 (.f64 y y) (-.f64 (.f64 y y) (fma.f64 y (+.f64 y y) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 y y)) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(literal 3 binary64) (.f64 y y)))))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) (-.f64 (.f64 y (+.f64 y y)) (fma.f64 x x (.f64 y y)))) (-.f64 (.f64 y (+.f64 y y)) (fma.f64 x x (*.f64 y y))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) (fma.f64 y (+.f64 y y) (.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 y (+.f64 y y) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 #s(literal 3 binary64) (.f64 y y)) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 y (+.f64 y y)) (fma.f64 x x (*.f64 y y))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 y y) y) y) (.f64 (fma.f64 x x (.f64 y y)) (-.f64 (fma.f64 x x (.f64 y y)) (*.f64 y (+.f64 y y))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y) (pow.f64 (fma.f64 y (+.f64 y y) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 (.f64 (fma.f64 y (+.f64 y y) (.f64 x x)) (fma.f64 y (+.f64 y y) (.f64 x x))) (.f64 (fma.f64 y (+.f64 y y) (.f64 x x)) (*.f64 y y)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y) (pow.f64 (fma.f64 y (+.f64 y y) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 y (+.f64 y y) (.f64 x x)) (fma.f64 y (+.f64 y y) (.f64 x x)) (.f64 (.f64 y y) (-.f64 (.f64 y y) (fma.f64 y (+.f64 y y) (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 y y)) x) x))))
(/.f64 (fma.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(literal 3 binary64) (.f64 y y))))))
(fma.f64 (.f64 #s(literal 3 binary64) (fabs.f64 y)) (fabs.f64 y) (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y) (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) (fabs.f64 y)) (fabs.f64 y) (fma.f64 x x (.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 y) (fma.f64 x x (.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 x x (.f64 y y)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y) (fma.f64 y (+.f64 y y) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) (fma.f64 y (+.f64 y y) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) y) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) y) y (fma.f64 y (+.f64 y y) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 (fabs.f64 y) #s(literal 1 binary64)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 y) #s(literal 1 binary64)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (.f64 y #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 3 binary64)) (.f64 x x))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 2 binary64)) (fma.f64 x x (.f64 y y)))
(fma.f64 (fabs.f64 y) (+.f64 (fabs.f64 y) (fabs.f64 y)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)) (fma.f64 y (+.f64 y y) (.f64 x x)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 3 binary64)) (.f64 x x))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 2 binary64)) (fma.f64 x x (.f64 y y)))
(fma.f64 (neg.f64 y) (+.f64 (neg.f64 y) (neg.f64 y)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)) (fma.f64 y (+.f64 y y) (.f64 x x)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (fma.f64 y (+.f64 y y) (.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 x x (.f64 y y)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (fma.f64 y (+.f64 y y) (.f64 x x)))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (fma.f64 x x (.f64 y y)))
(fma.f64 y (.f64 y #s(literal 3 binary64)) (.f64 x x))
(fma.f64 y (.f64 y #s(literal 2 binary64)) (fma.f64 x x (.f64 y y)))
(fma.f64 y (+.f64 y y) (fma.f64 x x (*.f64 y y)))
(fma.f64 y (.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 y y) (.f64 x x)))
(fma.f64 y y (fma.f64 y (+.f64 y y) (*.f64 x x)))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
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(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 y y))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 x x))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 y y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 x x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 y y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 y y))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (.f64 x x))
(fma.f64 y (.f64 y #s(literal 1 binary64)) (.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 y y))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x x))))))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 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
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(.f64 (.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 y (.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 y (+.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(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))))
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 y (+.f64 y y)))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 x x)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
#s(approx (+ (* x x) (* y y)) (fma.f64 x x (*.f64 y y)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 y (/.f64 y (.f64 x x))) #s(literal 1 binary64)) x) x))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (+ (* x x) (* y y)) (.f64 (.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
#s(approx y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) y) y))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) y) y))
#s(approx (+ (* x x) (* y y)) (.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y))

eval57.0ms (3.2%)

Memory: -17.2MiB live, 77.0MiB allocated; 19ms collecting garbage
Compiler: Compiled 3 223 to 1 033 computations (67.9% saved)

prune6.0ms (0.3%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	335	4	339
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	336	4	340

Accuracy

100.0%

Counts

340 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
▶	99.9%	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
▶	100.0%	(fma.f64 y (+.f64 y y) (fma.f64 x x (*.f64 y y)))
▶	53.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 31 to 29 computations (6.5% saved)

series8.0ms (0.4%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

13 → 16

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 binary64) (.f64 y y))
#s(literal 3 binary64)
(*.f64 y y)
y
(fma.f64 y (+.f64 y y) (fma.f64 x x (*.f64 y y)))
(+.f64 y y)
(fma.f64 x x (*.f64 y y))
x
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(*.f64 x x)
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 3 y) y) (* x x)) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (+ (* (* 3 y) y) (* x x)) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* (* 3 y) y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (* 3 y) #s(hole binary64 (* 3 y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) y (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)) x (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* (* y y) 3) (* x x)))
2.0ms	y	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) y (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)) x (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* (* y y) 3) (* x x)))
1.0ms	y	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) y (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)) x (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* (* y y) 3) (* x x)))
1.0ms	x	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) y (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)) x (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* (* y y) 3) (* x x)))
1.0ms	x	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) y (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)) x (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* (* y y) 3) (* x x)))

rewrite175.0ms (9.9%)

Memory

-61.4MiB live, 118.8MiB allocated; 112ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	338
0	77	312
1	381	182
0	3857	167

Stop Event

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

Counts

29 → 546

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 binary64) (.f64 y y))
#s(literal 3 binary64)
(*.f64 y y)
y
(fma.f64 y (+.f64 y y) (fma.f64 x x (*.f64 y y)))
(+.f64 y y)
(fma.f64 x x (*.f64 y y))
x
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(*.f64 x x)
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 3 y) y) (* x x)) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (+ (* (* 3 y) y) (* x x)) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* (* 3 y) y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (* 3 y) #s(hole binary64 (* 3 y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
y
(.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) y) y)
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64)))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 y (.f64 y (fma.f64 x x #s(literal 3 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 27 binary64))) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64)) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 27 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 4 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 9 binary64)) (-.f64 (.f64 x x) #s(literal 3 binary64)))
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(fma.f64 x x #s(literal 3 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 3 binary64) (*.f64 x x))))
(-.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(-.f64 #s(literal 3 binary64) (.f64 #s(literal -1 binary64) (.f64 x x)))
(-.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) x))
(-.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(-.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) y))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) y)))
(-.f64 (*.f64 x x) #s(literal -3 binary64))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)) (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64))))
(+.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 #s(literal 3 binary64) (*.f64 x x))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 x x) #s(literal 3 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))
#s(approx (+ (* x x) (* y y)) (fma.f64 x x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))
#s(approx (+ (* x x) (* y y)) (fma.f64 x x (/.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))
#s(approx y y)
#s(approx (+ y y) #s(literal 2 binary64))
#s(approx (* 3 y) (*.f64 #s(literal 3 binary64) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (+ (* x x) (* y y)) (fma.f64 x x #s(literal 1 binary64)))

eval51.0ms (2.9%)

Memory: -9.7MiB live, 87.7MiB allocated; 19ms collecting garbage
Compiler: Compiled 2 292 to 824 computations (64% saved)

prune7.0ms (0.4%)

Memory

23.7MiB live, 23.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	394	3	397
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	394	7	401

Accuracy

100.0%

Counts

401 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
✓	99.9%	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
✓	100.0%	(fma.f64 y (+.f64 y y) (fma.f64 x x (*.f64 y y)))
▶	27.9%	(fma.f64 y (+.f64 y y) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
▶	48.2%	(fma.f64 x x #s(literal 3 binary64))
✓	53.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
▶	4.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))

Compiler

Compiled 54 to 51 computations (5.6% saved)

series4.0ms (0.2%)

Memory

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

Counts

9 → 17

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 x x #s(literal 3 binary64))
x
(fma.f64 y (+.f64 y y) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
y
(+.f64 y y)
#s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* x x) 3) #s(hole binary64 3))
#s(approx (+ (* x x) 3) #s(hole binary64 (+ 3 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) 3) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx y #s(hole binary64 y))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) x (+ (* y (+ y y)) (+ (* x x) (* y y))) y (+ y y) (+ (* x x) (* y y)) 1)
1.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) x (+ (* y (+ y y)) (+ (* x x) (* y y))) y (+ y y) (+ (* x x) (* y y)) 1)
1.0ms	x	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) x (+ (* y (+ y y)) (+ (* x x) (* y y))) y (+ y y) (+ (* x x) (* y y)) 1)
1.0ms	x	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) x (+ (* y (+ y y)) (+ (* x x) (* y y))) y (+ y y) (+ (* x x) (* y y)) 1)
0.0ms	x	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) x (+ (* y (+ y y)) (+ (* x x) (* y y))) y (+ y y) (+ (* x x) (* y y)) 1)

rewrite102.0ms (5.8%)

Memory

-6.1MiB live, 132.3MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	353
0	63	350
1	347	178
0	4243	168

Stop Event

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

Counts

26 → 143

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 x x #s(literal 3 binary64))
x
(fma.f64 y (+.f64 y y) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
y
(+.f64 y y)
#s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* x x) 3) #s(hole binary64 3))
#s(approx (+ (* x x) 3) #s(hole binary64 (+ 3 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) 3) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx y #s(hole binary64 y))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))

Outputs
#s(approx (+ (* x x) 3) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) y) y)
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64)))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 y (.f64 y (fma.f64 x x #s(literal 3 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 27 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64)) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 27 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 4 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 (-.f64 #s(literal 3 binary64) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (neg.f64 (fma.f64 x x #s(literal -3 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 27 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 27 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal 8 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal 8 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 27 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 27 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 y)) (neg.f64 y) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) y) y #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 x x) (neg.f64 y)) (neg.f64 y) #s(literal 3 binary64))
(fma.f64 (.f64 (.f64 x x) y) y #s(literal 3 binary64))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (.f64 (fabs.f64 x) (neg.f64 y)) (.f64 (fabs.f64 x) (neg.f64 y)) #s(literal 3 binary64))
(fma.f64 (.f64 (fabs.f64 x) y) (.f64 (fabs.f64 x) y) #s(literal 3 binary64))
(fma.f64 (.f64 (neg.f64 x) (neg.f64 y)) (.f64 (neg.f64 x) (neg.f64 y)) #s(literal 3 binary64))
(fma.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 x) y) #s(literal 3 binary64))
(fma.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x #s(literal 3 binary64))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (/.f64 (fabs.f64 x) (neg.f64 y)) (/.f64 (fabs.f64 x) (neg.f64 y)) #s(literal 3 binary64))
(fma.f64 (/.f64 (fabs.f64 x) y) (/.f64 (fabs.f64 x) y) #s(literal 3 binary64))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (/.f64 (neg.f64 x) (neg.f64 y)) #s(literal 3 binary64))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y) #s(literal 3 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)) #s(literal 3 binary64))
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 3 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 3 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 3 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(fma.f64 (.f64 x y) (.f64 x y) #s(literal 3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 3 binary64))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) (.f64 x x)) #s(literal 3 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 y (.f64 y (.f64 x x)) #s(literal 3 binary64))
(fma.f64 y (*.f64 y (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 x (/.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 x x #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 3 binary64) (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal -3 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 x x) #s(literal -3 binary64))
(-.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(-.f64 #s(literal 3 binary64) (.f64 #s(literal -1 binary64) (.f64 x x)))
(-.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) x))
(-.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -3 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -3 binary64)) #s(literal 9 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)) (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 (*.f64 x x) #s(literal 3 binary64))
(+.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 3 binary64) (*.f64 x x))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))
x
(/.f64 (-.f64 (.f64 #s(approx (+ ( x x) (* y y)) #s(literal 1 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))) #s(literal 4 binary64)) (-.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(approx (+ ( x x) (* y y)) #s(literal 1 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(approx (+ ( x x) (* y y)) #s(literal 1 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(approx (+ ( x x) (* y y)) #s(literal 1 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))) (-.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( x x) (* y y)) #s(literal 1 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) #s(literal 8 binary64)) (fma.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* y y)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( x x) (* y y)) #s(literal 1 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) #s(literal 8 binary64)) (fma.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))) (/.f64 (.f64 #s(approx (+ ( x x) (* y y)) #s(literal 1 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))) (-.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))))
(-.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(-.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(-.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) #s(literal -2 binary64))
(+.f64 (+.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))))
y
#s(literal 2 binary64)
#s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* x x) 3) #s(literal 3 binary64))
#s(approx (+ (* x x) 3) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (+ (* x x) 3) #s(literal 3 binary64))
#s(approx (+ (* x x) 3) (fma.f64 x x #s(literal 3 binary64)))
#s(approx x x)
#s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))
#s(approx (+ (* x x) (* y y)) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* x x) 3) (*.f64 x x))
#s(approx (+ (* x x) 3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))
#s(approx (+ (* x x) 3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))
#s(approx (+ (* x x) (* y y)) (fma.f64 x x (/.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* x x) 3) (fma.f64 x x #s(literal 3 binary64)))
#s(approx y y)
#s(approx (+ y y) #s(literal 2 binary64))
#s(approx (+ (* x x) 3) #s(literal 3 binary64))
#s(approx (+ (* x x) 3) (fma.f64 x x #s(literal 3 binary64)))
#s(approx (+ (* x x) (* y y)) (fma.f64 x x #s(literal 1 binary64)))

eval15.0ms (0.8%)

Memory: 2.8MiB live, 47.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 895 to 306 computations (65.8% saved)

prune5.0ms (0.3%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	128	7	135

Accuracy

100.0%

Counts

135 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
✓	99.9%	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
✓	100.0%	(fma.f64 y (+.f64 y y) (fma.f64 x x (*.f64 y y)))
▶	5.2%	(fma.f64 y #s(approx (+ y y) #s(literal 2 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
✓	53.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
✓	4.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
▶	63.4%	#s(approx (+ (* x x) 3) (*.f64 x x))

Compiler

Compiled 59 to 56 computations (5.1% saved)

series14.0ms (0.8%)

Memory

-23.5MiB live, 17.5MiB allocated; 12ms collecting garbage

Counts

9 → 17

Calls

Call 1

Inputs
#s(approx (+ (* x x) 3) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 y #s(approx (+ y y) #s(literal 2 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
y
#s(approx (+ y y) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (+ (* x x) 3) #s(hole binary64 3))
#s(approx (+ (* x x) 3) #s(hole binary64 (+ 3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* y (+ y y)) (+ (* x x) (* y y))) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (* y (+ y y)) (+ (* x x) (* y y))) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (+ (* x x) 3) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* y (+ y y)) (+ (* x x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* y (+ y y)) (+ (* x x) (* y y))) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx y #s(hole binary64 y))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ (* y (+ y y)) (+ (* x x) (* y y))) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (+ (* y (+ y y)) (+ (* x x) (* y y))) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((+ (* x x) 3) (* x x) x (+ (* y (+ y y)) (+ (* x x) (* y y))) y (+ y y) 2 (+ (* x x) (* y y)) 1)
1.0ms	y	@	-inf	((+ (* x x) 3) (* x x) x (+ (* y (+ y y)) (+ (* x x) (* y y))) y (+ y y) 2 (+ (* x x) (* y y)) 1)
1.0ms	x	@	inf	((+ (* x x) 3) (* x x) x (+ (* y (+ y y)) (+ (* x x) (* y y))) y (+ y y) 2 (+ (* x x) (* y y)) 1)
1.0ms	y	@	inf	((+ (* x x) 3) (* x x) x (+ (* y (+ y y)) (+ (* x x) (* y y))) y (+ y y) 2 (+ (* x x) (* y y)) 1)
0.0ms	x	@	0	((+ (* x x) 3) (* x x) x (+ (* y (+ y y)) (+ (* x x) (* y y))) y (+ y y) 2 (+ (* x x) (* y y)) 1)

rewrite102.0ms (5.7%)

Memory

13.0MiB live, 115.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	327
0	63	223
1	330	197
0	3851	173

Stop Event

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

Counts

26 → 106

Calls

Call 1

Inputs
#s(approx (+ (* x x) 3) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 y #s(approx (+ y y) #s(literal 2 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
y
#s(approx (+ y y) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* x x) (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* x x) 3) #s(hole binary64 3))
#s(approx (+ (* x x) 3) #s(hole binary64 (+ 3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* y (+ y y)) (+ (* x x) (* y y))) #s(hole binary64 (+ (* 2 (pow y 2)) (pow y 2))))
#s(approx (+ (* y (+ y y)) (+ (* x x) (* y y))) #s(hole binary64 (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (+ (* x x) 3) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* y (+ y y)) (+ (* x x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* y (+ y y)) (+ (* x x) (* y y))) #s(hole binary64 (+ (* 3 (pow y 2)) (pow x 2))))
#s(approx y #s(hole binary64 y))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ (* y (+ y y)) (+ (* x x) (* y y))) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (+ (* y (+ y y)) (+ (* x x) (* y y))) #s(hole binary64 (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))

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

eval9.0ms (0.5%)

Memory: -28.4MiB live, 17.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 762 to 268 computations (64.8% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	89	7	96

Accuracy

100.0%

Counts

96 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
✓	99.9%	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
✓	100.0%	(fma.f64 y (+.f64 y y) (fma.f64 x x (*.f64 y y)))
✓	5.2%	(fma.f64 y #s(approx (+ y y) #s(literal 2 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
✓	53.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
✓	4.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
✓	63.4%	#s(approx (+ (* x x) 3) (*.f64 x x))

Compiler

Compiled 106 to 89 computations (16% saved)

regimes15.0ms (0.9%)

Memory

34.0MiB live, 34.0MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(approx (+ (* x x) 3) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y #s(approx (+ y y) #s(literal 2 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 y (+.f64 y y) (fma.f64 x x (*.f64 y y)))
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Outputs
(fma.f64 y (+.f64 y y) (fma.f64 x x (*.f64 y y)))

Calls

5 calls:

3.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
3.0ms	(*.f64 y y)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y y)`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes14.0ms (0.8%)

Memory

-17.6MiB live, 29.2MiB allocated; 2ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(approx (+ (* x x) 3) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y #s(approx (+ y y) #s(literal 2 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))

Outputs
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))

Calls

5 calls:

4.0ms	y
3.0ms	x
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
2.0ms	(*.f64 y y)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 y y)`
99.9%	1	`(*.f64 x x)`
99.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes19.0ms (1.1%)

Memory

-18.7MiB live, 31.5MiB allocated; 8ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(approx (+ (* x x) 3) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y #s(approx (+ y y) #s(literal 2 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (* x x) 3) (*.f64 x x))

Calls

5 calls:

10.0ms	(*.f64 x x)
2.0ms	y
2.0ms	x
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
82.6%	2	`(*.f64 y y)`
85.3%	2	`(*.f64 x x)`
63.4%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
85.3%	2	`x`
82.6%	2	`y`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.5%)

Memory

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

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))
#s(approx (+ (* x x) 3) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y #s(approx (+ y y) #s(literal 2 binary64)) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))

Outputs
#s(approx (+ (* x x) 3) (*.f64 x x))

Calls

5 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
1.0ms	(*.f64 y y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
63.4%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
63.4%	1	`(*.f64 y y)`
63.4%	1	`y`
63.4%	1	`(*.f64 x x)`
63.4%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.3%)

Memory

13.1MiB live, 13.1MiB 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) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))

Calls

5 calls:

1.0ms	y
1.0ms	x
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
1.0ms	(*.f64 y y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
4.1%	1	`(*.f64 x x)`
4.1%	1	`x`
4.1%	1	`(*.f64 y y)`
4.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
4.1%	1	`y`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch10.0ms (0.6%)

Memory

-26.0MiB live, 21.1MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.331077323844563e-6	5.542993380221815e-5

Samples

4.0ms

112×

valid

Compiler

Compiled 151 to 152 computations (-0.7% saved)

Precisions

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

ival-add!: 1.0ms (59.5% of total)

ival-mult!: 1.0ms (59.5% of total)

adjust: 0.0ms (0% of total)

derivations133.0ms (7.5%)

Memory

-23.2MiB live, 126.3MiB allocated; 32ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 29 to 24 computations (17.2% saved)

preprocess40.0ms (2.2%)

Memory

5.5MiB live, 97.0MiB allocated; 10ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 280 to 251 computations (10.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample756.0ms (42.7%)

preprocess54.0ms (3.1%)

series43.0ms (2.4%)

rewrite115.0ms (6.5%)

eval57.0ms (3.2%)

prune6.0ms (0.3%)

series8.0ms (0.4%)

rewrite175.0ms (9.9%)

eval51.0ms (2.9%)

prune7.0ms (0.4%)

series4.0ms (0.2%)

rewrite102.0ms (5.8%)

eval15.0ms (0.8%)

prune5.0ms (0.3%)

series14.0ms (0.8%)

rewrite102.0ms (5.7%)

eval9.0ms (0.5%)

prune4.0ms (0.2%)

regimes15.0ms (0.9%)

regimes14.0ms (0.8%)

regimes19.0ms (1.1%)

regimes8.0ms (0.5%)

regimes5.0ms (0.3%)

bsearch10.0ms (0.6%)

derivations133.0ms (7.5%)

preprocess40.0ms (2.2%)

end0.0ms (0%)

Profiling