Metrics for System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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 9 to 8 computations (11.1% saved)

sample728.0ms (27.8%)

Memory

37.2MiB live, 737.9MiB allocated; 195ms collecting garbage

Samples

527.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult!: 91.0ms (81.1% of total)

ival-sub!: 20.0ms (17.8% of total)

adjust: 1.0ms (0.9% of total)

Bogosity

preprocess105.0ms (4%)

Memory

-28.2MiB live, 16.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	47	44
2	87	44
3	139	44
4	357	44
5	1985	44
6	5080	44

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series4.0ms (0.2%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

6 → 16

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
#s(literal 1/2 binary64)
(-.f64 (*.f64 x x) y)
(*.f64 x x)
x
y

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

Calls

6 calls:

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

rewrite674.0ms (25.7%)

Memory

29.9MiB live, 354.4MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	228
0	60	207
1	147	203
2	569	203
3	3313	203
0	8173	199

Stop Event

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

Counts

22 → 1 601

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x))
(.f64 (neg.f64 (-.f64 (.f64 x x) y)) #s(literal -1/2 binary64))
(.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y (fabs.f64 x)))) (fabs.f64 x))
(.f64 (.f64 (neg.f64 x) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 x))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x)
(.f64 (-.f64 y (.f64 x x)) #s(literal -1/2 binary64))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y (fabs.f64 x)))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 y (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 x x) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 (.f64 x x) y)))
(.f64 #s(literal -1/2 binary64) (-.f64 y (.f64 x x)))
(.f64 (.f64 (-.f64 y (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(.f64 x (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 x x))))
(neg.f64 (.f64 x (.f64 (neg.f64 x) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 x) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x))
(neg.f64 (.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)))
(neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x x) y)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x)) x))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (.f64 (neg.f64 x) (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64))) x))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (.f64 y (.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (.f64 (neg.f64 y) (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (/.f64 (.f64 (neg.f64 x) (.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) x))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))) (neg.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (neg.f64 (.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 x)))) (neg.f64 (fabs.f64 x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x)))) (/.f64 y (fabs.f64 x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (neg.f64 y) x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 y x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 y (fabs.f64 x)))) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (neg.f64 y) x))) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 y x))) (/.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) y)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (/.f64 (neg.f64 y) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (.f64 (neg.f64 x) x) (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (fabs.f64 x))))
(fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x)))) (fabs.f64 x)))
(fma.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x))) (/.f64 y (fabs.f64 x)) (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (fabs.f64 x))))
(fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x))) (/.f64 y (fabs.f64 x)) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x)))) (fabs.f64 x)))
(fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x))) (/.f64 y (fabs.f64 x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (neg.f64 y) x) (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (fabs.f64 x))))
(fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (neg.f64 y) x) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x)))) (fabs.f64 x)))
(fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (neg.f64 y) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y x) (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (fabs.f64 x))))
(fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y x) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x)))) (fabs.f64 x)))
(fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x)) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (neg.f64 x) (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64))) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (.f64 y (.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (neg.f64 y) (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (/.f64 (.f64 (neg.f64 x) (.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))) (neg.f64 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 x)))) (neg.f64 (fabs.f64 x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x)))) (/.f64 y (fabs.f64 x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (neg.f64 y) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 y x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 y (fabs.f64 x)))) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (neg.f64 y) x))) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 y x))) (/.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 x) x) y)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
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(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (/.f64 (.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (/.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (/.f64 (.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (/.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (/.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (/.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (/.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (/.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (/.f64 (.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) (/.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (/.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 x) (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 x #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (/.f64 x #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (/.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (/.f64 (.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (/.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (/.f64 (.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (/.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (/.f64 (.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 x (/.f64 x #s(literal 1 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 x (/.f64 x #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 x x (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 x x (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 x x (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 x x (.f64 #s(literal 0 binary64) (.f64 x x)))
(sqrt.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) #s(literal 0 binary64)))
(-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (.f64 x x) (/.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
x
y
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* 1/2 (- (* x x) y)) (.f64 (-.f64 y (.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (- (* x x) y) (neg.f64 y))
#s(approx (- (* x x) y) (-.f64 (*.f64 x x) y))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (- (* x x) y)) (.f64 (-.f64 y (.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (- (* x x) y) (*.f64 x x))
#s(approx (- (* x x) y) (-.f64 (*.f64 x x) y))
#s(approx (- (* x x) y) (-.f64 (*.f64 x x) y))
#s(approx y y)
#s(approx (* 1/2 (- (* x x) y)) (.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y))
#s(approx (- (* x x) y) (*.f64 (fma.f64 (/.f64 x y) x #s(literal -1 binary64)) y))
#s(approx (* 1/2 (- (* x x) y)) (.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y))
#s(approx (- (* x x) y) (*.f64 (fma.f64 (/.f64 x y) x #s(literal -1 binary64)) y))

eval320.0ms (12.2%)

Memory: -4.1MiB live, 340.0MiB allocated; 211ms collecting garbage
Compiler: Compiled 17 487 to 3 280 computations (81.2% saved)

prune27.0ms (1%)

Memory

-13.8MiB live, 78.1MiB allocated; 6ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	1 588	2	1 590
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 588	3	1 591

Accuracy

100.0%

Counts

1 591 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
▶	57.5%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
▶	43.4%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 23 to 23 computations (0% saved)

series4.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

9 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite550.0ms (21%)

Memory

2.1MiB live, 285.6MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	258
0	62	237
1	149	233
2	575	233
3	3323	233
0	8170	229

Stop Event

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

Counts

26 → 325

Calls

Call 1

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

Outputs
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))
(.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x))) (/.f64 y (fabs.f64 x)))
(.f64 (.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (neg.f64 y) x))
(.f64 (.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y x))
(.f64 (.f64 (*.f64 x x) (/.f64 y (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (fabs.f64 x)))
(.f64 (.f64 (*.f64 x x) (/.f64 y x)) (/.f64 #s(literal -1/2 binary64) x))
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(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (.f64 x x) (/.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
x
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* 1/2 (- (* x x) y)) (.f64 (-.f64 y (.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (- (* x x) y) (neg.f64 y))
#s(approx (- (* x x) y) (-.f64 (*.f64 x x) y))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (- (* x x) y)) (.f64 (-.f64 y (.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (- (* x x) y) (*.f64 x x))
#s(approx (- (* x x) y) (-.f64 (*.f64 x x) y))
#s(approx (* -1/2 y) (*.f64 #s(literal -1/2 binary64) y))
#s(approx y y)
#s(approx (- (* x x) y) (-.f64 (*.f64 x x) y))
#s(approx (* 1/2 (- (* x x) y)) (.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y))
#s(approx (- (* x x) y) (*.f64 (fma.f64 (/.f64 x y) x #s(literal -1 binary64)) y))
#s(approx (* 1/2 (- (* x x) y)) (.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y))
#s(approx (- (* x x) y) (*.f64 (fma.f64 (/.f64 x y) x #s(literal -1 binary64)) y))

eval27.0ms (1%)

Memory: 10.6MiB live, 53.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 569 to 980 computations (61.9% saved)

prune7.0ms (0.3%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	309	0	309
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	309	3	312

Accuracy

100.0%

Counts

312 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
✓	57.5%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
✓	43.4%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 41 to 38 computations (7.3% saved)

regimes11.0ms (0.4%)

Memory

-27.4MiB live, 17.5MiB allocated; 4ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Calls

5 calls:

5.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	(-.f64 (*.f64 x x) y)
2.0ms	y
1.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 x x)`
100.0%	1	`(-.f64 (*.f64 x x) y)`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes6.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	y
1.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
1.0ms	x
1.0ms	(-.f64 (*.f64 x x) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
90.1%	2	`(*.f64 x x)`
84.7%	2	`(-.f64 (*.f64 x x) y)`
84.7%	2	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
90.1%	2	`x`
65.1%	3	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes5.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
1.0ms	y
1.0ms	x
1.0ms	(-.f64 (*.f64 x x) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
43.4%	1	`y`
43.4%	1	`(-.f64 (*.f64 x x) y)`
43.4%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
43.4%	1	`(*.f64 x x)`
43.4%	1	`x`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch32.0ms (1.2%)

Memory

-32.6MiB live, 14.8MiB allocated; 39ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	0.020317650657810746	1646751.8918855009

Samples

4.0ms

144×

valid

Compiler

Compiled 163 to 182 computations (-11.7% saved)

Precisions

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

ival-mult!: 1.0ms (62.3% of total)

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

adjust: 0.0ms (0% of total)

derivations101.0ms (3.8%)

Memory

7.2MiB live, 95.3MiB allocated; 15ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 21 to 17 computations (19% saved)

preprocess20.0ms (0.8%)

Memory: 46.2MiB live, 46.2MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 93 to 83 computations (10.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample728.0ms (27.8%)

preprocess105.0ms (4%)

series4.0ms (0.2%)

rewrite674.0ms (25.7%)

eval320.0ms (12.2%)

prune27.0ms (1%)

series4.0ms (0.1%)

rewrite550.0ms (21%)

eval27.0ms (1%)

prune7.0ms (0.3%)

regimes11.0ms (0.4%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch32.0ms (1.2%)

derivations101.0ms (3.8%)

preprocess20.0ms (0.8%)

end0.0ms (0%)

Profiling