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

0.5MiB live, 0.5MiB 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)

sample893.0ms (40.1%)

Memory

14.6MiB live, 728.6MiB allocated; 281ms collecting garbage

Samples

538.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-mult!: 142.0ms (69.4% of total)

ival-add!: 60.0ms (29.3% of total)

adjust: 2.0ms (1% of total)

Bogosity

preprocess87.0ms (3.9%)

Memory

-25.1MiB live, 74.9MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	92
1	105	80
2	370	56
3	695	54
4	1376	54
5	3814	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 30 to 14 computations (53.3% saved)

series95.0ms (4.3%)

Memory

17.5MiB live, 110.0MiB allocated; 9ms 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)) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))

Calls

6 calls:

Time	Variable	Point
1.0ms	x	inf
1.0ms	x	0
1.0ms	y	inf
1.0ms	x	-inf
1.0ms	y	-inf

rewrite146.0ms (6.5%)

Memory

21.5MiB live, 211.1MiB allocated; 29ms collecting garbage

Counts

7 → 39

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
(+.f64 (fma.f64 x x (.f64 y y)) (fma.f64 y y (.f64 y y)))
(+.f64 (fma.f64 y y (fma.f64 x x (.f64 y y))) (.f64 y y))
(+.f64 (.f64 y y) (fma.f64 y y (fma.f64 x x (.f64 y y))))
(-.f64 (fma.f64 y y (fma.f64 x x (.f64 y y))) (neg.f64 (.f64 y y)))
(-.f64 (fma.f64 y y (fma.f64 x x (.f64 y y))) (.f64 (neg.f64 y) y))
(fma.f64 y y (fma.f64 y y (fma.f64 x x (*.f64 y y))))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 y y (fma.f64 x x (*.f64 y y))))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (fma.f64 y y (fma.f64 x x (*.f64 y y))))
(+.f64 (fma.f64 x x (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (fma.f64 x x (.f64 y y)))
(+.f64 (.f64 x x) (fma.f64 y y (.f64 y y)))
(-.f64 (fma.f64 x x (.f64 y y)) (neg.f64 (.f64 y y)))
(-.f64 (fma.f64 x x (.f64 y y)) (.f64 (neg.f64 y) y))
(fma.f64 y y (fma.f64 x x (*.f64 y y)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 x x (*.f64 y y)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (fma.f64 x x (*.f64 y y)))
(fma.f64 x x (fma.f64 y y (*.f64 y y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y y (*.f64 y y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y y (*.f64 y y)))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (neg.f64 (.f64 y y)))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 y y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(pow.f64 y #s(literal 2 binary64))
y

eval6.0ms (0.3%)

Memory: -31.1MiB live, 15.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 944 to 160 computations (83.1% saved)

prune1.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	2	52

Accuracy

100.0%

Counts

52 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y y (fma.f64 y y (fma.f64 x x (*.f64 y y))))
▶	99.9%	(+.f64 (fma.f64 x x (.f64 y y)) (fma.f64 y y (.f64 y y)))

Compiler

Compiled 25 to 12 computations (52% saved)

series99.0ms (4.5%)

Memory

-6.8MiB live, 96.4MiB allocated; 46ms collecting garbage

Counts

8 → 17

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	y	-inf
1.0ms	y	inf
1.0ms	x	inf
1.0ms	x	-inf
0.0ms	y	0

rewrite165.0ms (7.4%)

Memory

26.5MiB live, 165.2MiB allocated; 69ms collecting garbage

Counts

8 → 60

Calls

Call 1

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

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

eval16.0ms (0.7%)

Memory: -9.6MiB live, 37.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 236 to 185 computations (85% saved)

prune2.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	74	1	75

Accuracy

100.0%

Counts

75 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 6 computations (45.5% saved)

series97.0ms (4.3%)

Memory

5.2MiB live, 96.6MiB allocated; 27ms collecting garbage

Counts

6 → 11

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	y	inf
1.0ms	y	-inf
1.0ms	y	0
0.0ms	x	inf
0.0ms	x	-inf

rewrite194.0ms (8.7%)

Memory

4.6MiB live, 184.8MiB allocated; 69ms collecting garbage

Counts

6 → 29

Calls

Call 1

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

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

eval7.0ms (0.3%)

Memory: 9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 521 to 110 computations (78.9% saved)

prune3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Accuracy

100.0%

Counts

36 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y (+.f64 y (+.f64 y y)) (*.f64 x x))
✓	100.0%	(fma.f64 x x (fma.f64 y y (*.f64 y (+.f64 y y))))
▶	99.9%	(fma.f64 x x (*.f64 y (+.f64 y (+.f64 y y))))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series106.0ms (4.8%)

Memory

14.0MiB live, 111.5MiB allocated; 20ms collecting garbage

Counts

8 → 11

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	y	-inf
1.0ms	y	inf
1.0ms	x	0
1.0ms	x	inf
1.0ms	x	-inf

rewrite243.0ms (10.9%)

Memory

-27.7MiB live, 125.8MiB allocated; 199ms collecting garbage

Counts

8 → 41

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 567 to 109 computations (80.8% saved)

prune2.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	2	0	2
Done	0	1	1
Total	43	4	47

Accuracy

100.0%

Counts

47 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 y #s(approx (+ y (+ y y)) (.f64 #s(literal 3 binary64) y)) (.f64 x x))
✓	100.0%	(fma.f64 x x (fma.f64 y y (*.f64 y (+.f64 y y))))
	99.9%	(fma.f64 x x (.f64 y #s(approx (+ y (+ y y)) (.f64 #s(literal 3 binary64) y))))
	56.1%	#s(approx (+ (* x x) (* y (+ y (+ y y)))) (.f64 y (+.f64 y (.f64 #s(literal 2 binary64) y))))

Compiler

Compiled 58 to 36 computations (37.9% saved)

regimes36.0ms (1.6%)

Memory

-34.7MiB live, 66.9MiB allocated; 11ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

5 → 1

9 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Calls

15 calls:

9.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
2.0ms	(*.f64 x x)
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
56.1%	1	`(*.f64 y y)`
56.1%	1	`(*.f64 x x)`
56.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
56.1%	1	`x`
56.1%	1	`y`
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`
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 187 to 87 computations (53.5% saved)

derivations1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 44 to 21 computations (52.3% saved)

preprocess23.0ms (1%)

Memory

3.8MiB live, 50.9MiB allocated; 2ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 235 to 136 computations (42.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample893.0ms (40.1%)

preprocess87.0ms (3.9%)

series95.0ms (4.3%)

rewrite146.0ms (6.5%)

eval6.0ms (0.3%)

prune1.0ms (0.1%)

series99.0ms (4.5%)

rewrite165.0ms (7.4%)

eval16.0ms (0.7%)

prune2.0ms (0.1%)

series97.0ms (4.3%)

rewrite194.0ms (8.7%)

eval7.0ms (0.3%)

prune3.0ms (0.1%)

series106.0ms (4.8%)

rewrite243.0ms (10.9%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

regimes36.0ms (1.6%)

derivations1.0ms (0%)

preprocess23.0ms (1%)

end0.0ms (0%)

Profiling