Metrics for Graphics.Rasterific.Linear:$cquadrance from Rasterific-0.6.1

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 9 to 7 computations (22.2% saved)

sample844.0ms (29%)

Memory

-32.8MiB live, 965.1MiB allocated; 306ms collecting garbage

Samples

515.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-mult!: 233.0ms (91.5% of total)

ival-add!: 20.0ms (7.9% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess108.0ms (3.7%)

Memory

-29.2MiB live, 46.5MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	48	44
2	123	44
3	169	44
4	377	44
5	1979	44
6	4618	44

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 x x) (.f64 y y))

Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

series4.0ms (0.1%)

Memory

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

Counts

5 → 7

Calls

Call 1

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

Outputs
#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)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx y #s(hole binary64 y))
#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	x	@	inf	((+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	x	@	-inf	((+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	y	@	inf	((+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	y	@	-inf	((+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	x	@	0	((+ (* x x) (* y y)) (* x x) x (* y y) y)

rewrite53.0ms (1.8%)

Memory

4.3MiB live, 96.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	96
0	28	96
1	116	96
0	1052	88

Stop Event

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

Counts

12 → 154

Calls

Call 1

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

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

eval12.0ms (0.4%)

Memory: 32.2MiB live, 32.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 853 to 314 computations (63.2% saved)

prune22.0ms (0.7%)

Memory

-37.8MiB live, 8.8MiB allocated; 4ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	145	4	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	146	4	150

Accuracy

100.0%

Counts

150 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y y (*.f64 x x))
▶	100.0%	(fma.f64 x x (*.f64 y y))
▶	62.8%	#s(approx (+ (* x x) (* y y)) (.f64 (.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x))
▶	98.6%	#s(approx (+ (* x x) (* y y)) (*.f64 y y))

Compiler

Compiled 27 to 27 computations (0% saved)

series10.0ms (0.4%)

Memory

23.1MiB live, 23.1MiB allocated; 0ms collecting garbage

Counts

13 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((+ (* x x) (* y y)) (* y y) y (+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y (* x x))) 1) (/ y (* x x)) (* x x) x 1 (+ (* x x) (* y y)) (+ (* y y) (* x x)))
2.0ms	y	@	0	((+ (* x x) (* y y)) (* y y) y (+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y (* x x))) 1) (/ y (* x x)) (* x x) x 1 (+ (* x x) (* y y)) (+ (* y y) (* x x)))
2.0ms	y	@	-inf	((+ (* x x) (* y y)) (* y y) y (+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y (* x x))) 1) (/ y (* x x)) (* x x) x 1 (+ (* x x) (* y y)) (+ (* y y) (* x x)))
2.0ms	x	@	0	((+ (* x x) (* y y)) (* y y) y (+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y (* x x))) 1) (/ y (* x x)) (* x x) x 1 (+ (* x x) (* y y)) (+ (* y y) (* x x)))
1.0ms	x	@	inf	((+ (* x x) (* y y)) (* y y) y (+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y (* x x))) 1) (/ y (* x x)) (* x x) x 1 (+ (* x x) (* y y)) (+ (* y y) (* x x)))

rewrite105.0ms (3.6%)

Memory

3.7MiB live, 147.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	387
0	80	376
1	319	370
0	2733	367

Stop Event

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

Counts

32 → 441

Calls

Call 1

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

Outputs
#s(approx (+ (* x x) (* y y)) (*.f64 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 (.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 (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 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.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 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(approx (+ (* x x) (* y y)) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (/.f64 y (.f64 x x)) y #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64)))
(.f64 x (.f64 (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64)) x))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) y)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) (/.f64 y (.f64 x x))) y #s(literal -1 binary64))) (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 y (.f64 x x)) y) (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) (/.f64 y (.f64 x x))) y (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) y))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) y)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) (/.f64 y (.f64 x x))) y #s(literal -1 binary64)) (.f64 x x)) (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 (.f64 (/.f64 y (.f64 x x)) y) (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) (/.f64 y (.f64 x x))) y (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))) (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) y) (/.f64 y (*.f64 x x)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (pow.f64 (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (.f64 (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))) (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) y) (/.f64 y (*.f64 x x)))))))
(fma.f64 (.f64 (.f64 x x) (/.f64 y (.f64 x x))) y (.f64 x x))
(fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) (fabs.f64 x)) (fabs.f64 x) (.f64 x x))
(fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) (neg.f64 x)) (neg.f64 x) (.f64 x x))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 (.f64 x x) y) (/.f64 y (*.f64 x x))))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (.f64 (.f64 x x) y) (/.f64 y (*.f64 x x))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))))
(fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) x) x (.f64 x x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (/.f64 y (.f64 x x)) y)) (.f64 x x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) y) (/.f64 y (*.f64 x x))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (/.f64 y (.f64 x x)) y)) (.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) y) (/.f64 y (*.f64 x x))))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) y) (.f64 x x) (.f64 x x))
(fma.f64 (/.f64 y (.f64 x x)) (.f64 y (.f64 x x)) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) y) (/.f64 y (*.f64 x x))))
(fma.f64 y (.f64 (/.f64 y (.f64 x x)) (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 (/.f64 y (.f64 x x)) y) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) y) (/.f64 y (*.f64 x x))))
(fma.f64 x (.f64 (.f64 (/.f64 y (.f64 x x)) y) x) (.f64 x x))
(fma.f64 x x (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))))
(-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 y) (/.f64 y (.f64 x x))) (*.f64 x x)))
(-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) (.f64 (/.f64 y (*.f64 x x)) y)))
(+.f64 (.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 x x))) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) y) (/.f64 y (*.f64 x x))))
(.f64 (fma.f64 (/.f64 y (.f64 x x)) y #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (/.f64 y (.f64 x x)) y #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y (*.f64 x x)) y)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) (/.f64 y (.f64 x x))) y #s(literal -1 binary64))) (fma.f64 (/.f64 y (.f64 x x)) y #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 y (.f64 x x)) y) (fma.f64 (/.f64 y (.f64 x x)) y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) (/.f64 y (.f64 x x))) y (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y (*.f64 x x)) y))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 x x) x) x))) x) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y (*.f64 x x)) y)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) (/.f64 y (.f64 x x))) y #s(literal -1 binary64)) x) (fma.f64 (/.f64 y (.f64 x x)) y #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 (.f64 (/.f64 y (.f64 x x)) y) (fma.f64 (/.f64 y (.f64 x x)) y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) (/.f64 y (.f64 x x))) y (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y (*.f64 x x)) y))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) x) (.f64 (.f64 (/.f64 y (.f64 x x)) y) x))) (-.f64 x (.f64 (.f64 (/.f64 y (*.f64 x x)) y) x)))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) y) x) (.f64 (.f64 (/.f64 y (.f64 x x)) y) x)) (.f64 (.f64 (.f64 x x) y) (/.f64 y (*.f64 x x))))))
(fma.f64 (.f64 x (/.f64 y (.f64 x x))) y x)
(fma.f64 (.f64 x y) (/.f64 y (.f64 x x)) x)
(fma.f64 (.f64 (/.f64 y (.f64 x x)) y) x x)
(fma.f64 (/.f64 y (.f64 x x)) (.f64 y x) x)
(fma.f64 y (.f64 (/.f64 y (.f64 x x)) x) x)
(fma.f64 x (.f64 (/.f64 y (.f64 x x)) y) x)
(-.f64 x (.f64 (neg.f64 x) (.f64 (/.f64 y (*.f64 x x)) y)))
(-.f64 x (.f64 (.f64 (neg.f64 y) (/.f64 y (*.f64 x x))) x))
(+.f64 (.f64 (.f64 (/.f64 y (*.f64 x x)) y) x) x)
(+.f64 x (.f64 (.f64 (/.f64 y (*.f64 x x)) y) x))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x x))) y) y)
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 y y))
(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
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eval43.0ms (1.5%)

Memory: -22.6MiB live, 120.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 360 to 1 231 computations (63.4% saved)

prune7.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	396	2	398
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	397	5	402

Accuracy

100.0%

Counts

402 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y y (*.f64 x x))
✓	100.0%	(fma.f64 x x (*.f64 y y))
▶	15.3%	#s(approx (+ (* x x) (* y y)) (.f64 (.f64 #s(approx (+ (* y (/ y (* x x))) 1) #s(literal 1 binary64)) x) x))
▶	86.6%	#s(approx (+ (* x x) (* y y)) (.f64 #s(approx ( (+ (* y (/ y (* x x))) 1) x) (fma.f64 y (/.f64 y x) x)) x))
✓	98.6%	#s(approx (+ (* x x) (* y y)) (*.f64 y y))

Compiler

Compiled 46 to 44 computations (4.3% saved)

series43.0ms (1.5%)

Memory

-23.3MiB live, 23.8MiB allocated; 2ms collecting garbage

Counts

12 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	x	@	-inf	((+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y x)) x) y (/ y x) x (+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y (* x x))) 1) 1)
2.0ms	y	@	inf	((+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y x)) x) y (/ y x) x (+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y (* x x))) 1) 1)
2.0ms	y	@	-inf	((+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y x)) x) y (/ y x) x (+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y (* x x))) 1) 1)
1.0ms	x	@	inf	((+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y x)) x) y (/ y x) x (+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y (* x x))) 1) 1)
1.0ms	x	@	0	((+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y x)) x) y (/ y x) x (+ (* x x) (* y y)) (* (* (+ (* y (/ y (* x x))) 1) x) x) (* (+ (* y (/ y (* x x))) 1) x) (+ (* y (/ y (* x x))) 1) 1)

rewrite96.0ms (3.3%)

Memory

22.7MiB live, 165.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	457
0	72	452
1	307	446
0	2661	412

Stop Event

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

Counts

31 → 69

Calls

Call 1

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

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

eval7.0ms (0.2%)

Memory: -24.7MiB live, 19.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 602 to 274 computations (54.5% saved)

prune2.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	56	5	61

Accuracy

100.0%

Counts

61 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y y (*.f64 x x))
✓	100.0%	(fma.f64 x x (*.f64 y y))
✓	86.6%	#s(approx (+ (* x x) (* y y)) (.f64 #s(approx ( (+ (* y (/ y (* x x))) 1) x) (fma.f64 y (/.f64 y x) x)) x))
✓	98.6%	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
▶	15.3%	#s(approx (+ (* x x) (* y y)) (*.f64 x x))

Compiler

Compiled 38 to 37 computations (2.6% saved)

series3.0ms (0.1%)

Memory

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

Counts

3 → 6

Calls

Call 1

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

Outputs
#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)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 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	x	@	-inf	((+ (* x x) (* y y)) (* x x) x)
1.0ms	x	@	inf	((+ (* x x) (* y y)) (* x x) x)
0.0ms	x	@	0	((+ (* x x) (* y y)) (* x x) x)
0.0ms	y	@	-inf	((+ (* x x) (* y y)) (* x x) x)
0.0ms	y	@	inf	((+ (* x x) (* y y)) (* x x) x)

rewrite78.0ms (2.7%)

Memory

-4.7MiB live, 96.5MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	93
0	25	93
1	109	93
0	1045	85

Stop Event

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

Counts

9 → 42

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 187 to 114 computations (39% saved)

prune3.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	38	5	43

Accuracy

100.0%

Counts

43 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y y (*.f64 x x))
✓	100.0%	(fma.f64 x x (*.f64 y y))
✓	86.6%	#s(approx (+ (* x x) (* y y)) (.f64 #s(approx ( (+ (* y (/ y (* x x))) 1) x) (fma.f64 y (/.f64 y x) x)) x))
✓	98.6%	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
✓	15.3%	#s(approx (+ (* x x) (* y y)) (*.f64 x x))

Compiler

Compiled 86 to 69 computations (19.8% saved)

regimes74.0ms (2.5%)

Memory

-35.1MiB live, 50.6MiB allocated; 21ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

42.0ms	(*.f64 y y)
3.0ms	y
3.0ms	x
2.0ms	(+.f64 (.f64 x x) (.f64 y y))
2.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes9.0ms (0.3%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes10.0ms (0.4%)

Memory

-18.1MiB live, 24.4MiB allocated; 5ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(*.f64 x x)
2.0ms	x
2.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(+.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
98.6%	1	`(*.f64 y y)`
98.6%	1	`(*.f64 x x)`
98.6%	1	`(+.f64 (.f64 x x) (.f64 y y))`
98.6%	1	`x`
98.6%	1	`y`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB 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)) (*.f64 x x))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
15.3%	1	`(*.f64 y y)`
15.3%	1	`(*.f64 x x)`
15.3%	1	`(+.f64 (.f64 x x) (.f64 y y))`
15.3%	1	`x`
15.3%	1	`y`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

derivations82.0ms (2.8%)

Memory

-12.2MiB live, 73.4MiB allocated; 57ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 16 to 11 computations (31.3% saved)

preprocess1.3s (44.2%)

Memory

8.7MiB live, 126.8MiB allocated; 1.8s collecting garbage

Remove

(sort x y)

(abs y)

(abs x)

Compiler

Compiled 161 to 156 computations (3.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample844.0ms (29%)

preprocess108.0ms (3.7%)

series4.0ms (0.1%)

rewrite53.0ms (1.8%)

eval12.0ms (0.4%)

prune22.0ms (0.7%)

series10.0ms (0.4%)

rewrite105.0ms (3.6%)

eval43.0ms (1.5%)

prune7.0ms (0.2%)

series43.0ms (1.5%)

rewrite96.0ms (3.3%)

eval7.0ms (0.2%)

prune2.0ms (0.1%)

series3.0ms (0.1%)

rewrite78.0ms (2.7%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

regimes74.0ms (2.5%)

regimes9.0ms (0.3%)

regimes10.0ms (0.4%)

regimes5.0ms (0.2%)

derivations82.0ms (2.8%)

preprocess1.3s (44.2%)

end0.0ms (0%)

Profiling