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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample749.0ms (45.8%)

Memory

25.0MiB live, 613.3MiB allocated; 647ms collecting garbage

Samples

564.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 409.0ms

ival-mult!: 358.0ms (87.5% of total)

ival-add!: 49.0ms (12% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess62.0ms (3.8%)

Memory

14.5MiB live, 59.3MiB allocated; 7ms 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)

series10.0ms (0.6%)

Memory

-35.2MiB live, 10.6MiB allocated; 4ms 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
5.0ms	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)
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	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	@	-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)

rewrite116.0ms (7.1%)

Memory

17.5MiB live, 117.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	380
0	65	348
1	334	312
0	3152	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))

eval31.0ms (1.9%)

Memory: 6.9MiB live, 52.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 223 to 1 033 computations (67.9% saved)

prune9.0ms (0.6%)

Memory

-32.2MiB live, 14.4MiB allocated; 3ms 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 #s(literal 3 binary64) y) y (.f64 x x))
▶	100.0%	(fma.f64 y (+.f64 y y) (fma.f64 x x (*.f64 y y)))
▶	99.9%	(fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
▶	55.8%	#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 (0.5%)

Memory

11.5MiB live, 11.5MiB 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 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
x
(fma.f64 y (+.f64 y y) (fma.f64 x x (*.f64 y y)))
(+.f64 y y)
(fma.f64 x x (*.f64 y y))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(*.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) (* 3 (* y y))) #s(hole binary64 (* 3 (pow y 2))))
#s(approx (+ (* x x) (* 3 (* y y))) #s(hole binary64 (+ (* 3 (pow y 2)) (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) #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 (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (* 3 (/ (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 #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 (+ (* x x) (* 3 (* y y))) x (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x))
2.0ms	y	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) y (+ (* x x) (* 3 (* y y))) x (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x))
1.0ms	y	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) y (+ (* x x) (* 3 (* y y))) x (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x))
1.0ms	x	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) y (+ (* x x) (* 3 (* y y))) x (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x))
1.0ms	x	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) 3 (* y y) y (+ (* x x) (* 3 (* y y))) x (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x))

rewrite108.0ms (6.6%)

Memory

26.1MiB live, 116.5MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	338
0	75	303
1	373	168
0	3988	167

Stop Event

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

Counts

29 → 558

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

eval60.0ms (3.7%)

Memory: 14.7MiB live, 59.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 015 to 774 computations (61.6% saved)

prune11.0ms (0.7%)

Memory

-26.8MiB live, 17.6MiB allocated; 8ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	330	4	334
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	330	8	338

Accuracy

100.0%

Counts

338 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))
▶	30.4%	(fma.f64 y (+.f64 y y) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
▶	43.6%	(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))
✓	99.9%	(fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
▶	42.7%	(fma.f64 x x #s(literal 3 binary64))
✓	55.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
▶	4.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))

Compiler

Compiled 60 to 57 computations (5% saved)

series5.0ms (0.3%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

12 → 25

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 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))
y
#s(literal 2 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 y (+.f64 y y) #s(approx (+ (* x x) (* y y)) #s(literal 1 binary64)))
(+.f64 y y)
#s(approx (+ (* x x) (* y y)) #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 (+ (* y 2) (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 2 y))))
#s(approx (+ (* y 2) (+ (* x x) 1)) #s(hole binary64 (+ 1 (+ (* 2 y) (pow x 2)))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (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) (* 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 (+ (* y 2) (+ (* x x) 1)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ y (pow x 2))) (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 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 (+ (* y 2) (+ (* x x) 1)) #s(hole binary64 (* y (+ 2 (+ (/ 1 y) (/ (pow x 2) y))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* y 2) (+ (* x x) 1)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ 1 (pow x 2)) 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 2) (+ (* x x) 1)) y 2 (+ (* x x) 1) 1 (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)))
1.0ms	x	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) x (+ (* y 2) (+ (* x x) 1)) y 2 (+ (* x x) 1) 1 (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)))
1.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) x (+ (* y 2) (+ (* x x) 1)) y 2 (+ (* x x) 1) 1 (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)))
1.0ms	x	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) x (+ (* y 2) (+ (* x x) 1)) y 2 (+ (* x x) 1) 1 (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)))
1.0ms	x	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 3 (+ (* x x) 3) x (+ (* y 2) (+ (* x x) 1)) y 2 (+ (* x x) 1) 1 (+ (* y (+ y y)) (+ (* x x) (* y y))) (+ y y) (+ (* x x) (* y y)))

rewrite56.0ms (3.4%)

Memory

-18.1MiB live, 37.2MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	498
0	100	454
0	575	424

Stop Event

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

Counts

37 → 76

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

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

eval6.0ms (0.4%)

Memory: 7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 498 to 212 computations (57.4% saved)

prune4.0ms (0.2%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	0	0
Picked	2	2	4
Done	1	3	4
Total	65	8	73

Accuracy

100.0%

Counts

73 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
▶	55.9%	(fma.f64 y (+.f64 y y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
▶	5.5%	(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
✓	99.9%	(fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
✓	42.7%	(fma.f64 x x #s(literal 3 binary64))
▶	56.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
✓	55.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
✓	4.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))

Compiler

Compiled 68 to 63 computations (7.4% saved)

series5.0ms (0.3%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

12 → 22

Calls

Call 1

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

Calls

6 calls:

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

rewrite32.0ms (2%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	478
0	93	444
0	546	397

Stop Event

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

Counts

34 → 60

Calls

Call 1

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

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

eval8.0ms (0.5%)

Memory: -37.0MiB live, 9.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 400 to 164 computations (59% saved)

prune5.0ms (0.3%)

Memory

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

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	44	9	53

Accuracy

100.0%

Counts

53 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
	19.0%	(fma.f64 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)))) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
✓	55.9%	(fma.f64 y (+.f64 y y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
✓	5.5%	(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
✓	99.9%	(fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
✓	42.7%	(fma.f64 x x #s(literal 3 binary64))
✓	56.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
✓	55.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
✓	4.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(literal 3 binary64))

Compiler

Compiled 156 to 119 computations (23.7% saved)

regimes23.0ms (1.4%)

Memory

-4.8MiB live, 39.1MiB allocated; 6ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	(*.f64 y y)
4.0ms	y
4.0ms	x
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.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)

regimes16.0ms (1%)

Memory

25.6MiB live, 25.6MiB 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) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* x x) 1) #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 y #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
(fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))

Outputs
(fma.f64 x x (.f64 #s(literal 3 binary64) (.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
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 (1.2%)

Memory

-20.7MiB live, 22.8MiB allocated; 4ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(*.f64 y y)
3.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
82.4%	2	`(*.f64 y y)`
83.2%	2	`(*.f64 x x)`
61.8%	3	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
83.2%	2	`x`
82.4%	2	`y`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
83.2%	2	`(*.f64 x x)`
83.2%	2	`x`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes5.0ms (0.3%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms 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) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* x x) 1) #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)))
(fma.f64 x x #s(literal 3 binary64))

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
83.2%	2	`(*.f64 x x)`
83.2%	2	`x`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes9.0ms (0.5%)

Memory

17.6MiB live, 17.6MiB 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) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(fma.f64 x x #s(literal 3 binary64))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* x x) 1) #s(literal 1 binary64)))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.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))
2.0ms	(*.f64 y y)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
56.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
56.9%	1	`(*.f64 y y)`
56.9%	1	`y`
56.9%	1	`(*.f64 x x)`
56.9%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes38.0ms (2.3%)

Memory

-43.7MiB live, 12.6MiB allocated; 9ms 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:

34.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
1.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
4.2%	1	`(*.f64 x x)`
4.2%	1	`x`
4.2%	1	`(*.f64 y y)`
4.2%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
4.2%	1	`y`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch6.0ms (0.4%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	3.2249571847663253e+84	7.017464595098893e+84

Samples

3.0ms

80×

valid

Compiler

Compiled 93 to 97 computations (-4.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult!: 1.0ms (90.9% of total)

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.2249571847663253e+84	7.017464595098893e+84

Compiler

Compiled 113 to 107 computations (5.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.2249571847663253e+84	7.017464595098893e+84

Compiler

Compiled 98 to 97 computations (1% saved)

derivations119.0ms (7.3%)

Memory

-8.4MiB live, 123.1MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 50 to 30 computations (40% saved)

preprocess106.0ms (6.5%)

Memory

16.0MiB live, 124.0MiB allocated; 30ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 441 to 383 computations (13.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample749.0ms (45.8%)

preprocess62.0ms (3.8%)

series10.0ms (0.6%)

rewrite116.0ms (7.1%)

eval31.0ms (1.9%)

prune9.0ms (0.6%)

series8.0ms (0.5%)

rewrite108.0ms (6.6%)

eval60.0ms (3.7%)

prune11.0ms (0.7%)

series5.0ms (0.3%)

rewrite56.0ms (3.4%)

eval6.0ms (0.4%)

prune4.0ms (0.2%)

series5.0ms (0.3%)

rewrite32.0ms (2%)

eval8.0ms (0.5%)

prune5.0ms (0.3%)

regimes23.0ms (1.4%)

regimes16.0ms (1%)

regimes19.0ms (1.2%)

regimes5.0ms (0.3%)

regimes5.0ms (0.3%)

regimes9.0ms (0.5%)

regimes38.0ms (2.3%)

bsearch6.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

derivations119.0ms (7.3%)

preprocess106.0ms (6.5%)

end0.0ms (0%)

Profiling