Metrics for Examples.Basics.BasicTests:f3 from sbv-4.4

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 6 computations (33.3% saved)

sample624.0ms (33.8%)

Memory

-31.2MiB live, 499.5MiB allocated; 255ms collecting garbage

Samples

310.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult!: 39.0ms (55.1% of total)

ival-add!: 30.0ms (42.4% of total)

adjust: 2.0ms (2.8% of total)

Bogosity

preprocess41.0ms (2.2%)

Memory

-6.1MiB live, 39.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	75	32
2	301	32
3	1052	32
4	2328	32

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(sort x y)

Compiler

Compiled 10 to 8 computations (20% saved)

series3.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

4 → 19

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite203.0ms (11%)

Memory

13.3MiB live, 161.0MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	323
0	89	267
1	577	245
2	2824	245
0	8068	237
1	20112	237

Stop Event

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

Counts

23 → 144

Calls

Call 1

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

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

eval20.0ms (1.1%)

Memory: -16.2MiB live, 29.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 861 to 280 computations (67.5% saved)

prune4.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	6	135

Accuracy

100.0%

Counts

135 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(fma.f64 y y (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	60.5%	(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
▶	51.3%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
▶	62.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	53.5%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 81 to 70 computations (13.6% saved)

series8.0ms (0.5%)

Memory

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

Counts

14 → 38

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite233.0ms (12.6%)

Memory

-11.9MiB live, 174.1MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	691
0	159	556
1	870	508
2	4042	489
0	9528	485
1	21955	485

Stop Event

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

Counts

52 → 565

Calls

Call 1

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

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

eval132.0ms (7.2%)

Memory: -15.5MiB live, 171.1MiB allocated; 28ms collecting garbage
Compiler: Compiled 4 194 to 1 398 computations (66.7% saved)

prune30.0ms (1.6%)

Memory

-9.4MiB live, 49.1MiB allocated; 35ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	681	1	682
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	681	7	688

Accuracy

100.0%

Counts

688 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.3%	(fma.f64 y y (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
▶	57.6%	(fma.f64 y y (.f64 #s(approx (+ ( 2 y) x) (+.f64 y y)) x))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	60.5%	(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
✓	51.3%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	62.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	53.5%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 52 to 46 computations (11.5% saved)

series4.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

6 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite199.0ms (10.8%)

Memory

7.7MiB live, 193.0MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	489
0	102	461
1	644	367
2	3116	367
0	8649	338
1	26156	338

Stop Event

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

Counts

30 → 96

Calls

Call 1

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

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

eval8.0ms (0.4%)

Memory: 17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 734 to 183 computations (75.1% saved)

prune4.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	81	7	88

Accuracy

100.0%

Counts

88 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.3%	(fma.f64 y y (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	57.6%	(fma.f64 y y (.f64 #s(approx (+ ( 2 y) x) (+.f64 y y)) x))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	60.5%	(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
✓	51.3%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	62.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	53.5%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 90 to 71 computations (21.1% saved)

regimes76.0ms (4.1%)

Memory

-26.2MiB live, 20.8MiB allocated; 4ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

68.0ms	y
2.0ms	x
2.0ms	(+.f64 x y)
2.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.4%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.5%	2	`(+.f64 x y)`
66.1%	3	`(*.f64 (+.f64 x y) (+.f64 x y))`
85.4%	2	`x`
90.0%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
99.3%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes1.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.8%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes84.0ms (4.5%)

Memory

-35.1MiB live, 10.8MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

80.0ms	x
1.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
1.0ms	(+.f64 x y)
1.0ms	y

Results

Accuracy	Segments	Branch
53.5%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
53.5%	1	`x`
53.5%	1	`y`
53.5%	1	`(+.f64 x y)`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.0819151669159067e-153	-1.5180068662171762e-179

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.0819151669159067e-153	-1.5180068662171762e-179

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.0819151669159067e-153	-1.5180068662171762e-179

Compiler

Compiled 8 to 9 computations (-12.5% saved)

derivations119.0ms (6.4%)

Memory

4.6MiB live, 139.6MiB allocated; 30ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 37 to 22 computations (40.5% saved)

preprocess43.0ms (2.4%)

Memory: 11.1MiB live, 104.1MiB allocated; 9ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 172 to 128 computations (25.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample624.0ms (33.8%)

preprocess41.0ms (2.2%)

series3.0ms (0.2%)

rewrite203.0ms (11%)

eval20.0ms (1.1%)

prune4.0ms (0.2%)

series8.0ms (0.5%)

rewrite233.0ms (12.6%)

eval132.0ms (7.2%)

prune30.0ms (1.6%)

series4.0ms (0.2%)

rewrite199.0ms (10.8%)

eval8.0ms (0.4%)

prune4.0ms (0.2%)

regimes76.0ms (4.1%)

regimes8.0ms (0.4%)

regimes2.0ms (0.1%)

regimes1.0ms (0.1%)

regimes84.0ms (4.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations119.0ms (6.4%)

preprocess43.0ms (2.4%)

end0.0ms (0%)

Profiling