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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample508.0ms (58.3%)

Memory

58.5MiB live, 903.7MiB allocated; 146ms collecting garbage

Samples

309.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult!: 82.0ms (79.8% of total)

ival-sub!: 19.0ms (18.5% of total)

adjust: 2.0ms (1.9% of total)

Bogosity

preprocess14.0ms (1.6%)

Memory

-33.3MiB live, 12.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	43	44
2	76	44
3	103	44
4	127	44

Stop Event

1×

saturated

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)

series5.0ms (0.5%)

Memory

7.2MiB live, 7.2MiB 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	@	-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)
1.0ms	y	@	0	((* 1/2 (- (* x x) y)) 1/2 (- (* x x) y) (* x x) x y)

rewrite84.0ms (9.7%)

Memory

12.6MiB live, 102.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	228
0	60	221
1	254	217
0	2172	214

Stop Event

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

Counts

22 → 103

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

eval9.0ms (1%)

Memory: 18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 690 to 319 computations (53.8% saved)

prune4.0ms (0.4%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	4	98

Accuracy

100.0%

Counts

98 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
▶	48.7%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
▶	52.9%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 29 to 29 computations (0% saved)

series31.0ms (3.5%)

Memory

-41.4MiB live, 11.0MiB allocated; 8ms collecting garbage

Counts

12 → 31

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	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 (* 1/2 (+ (* x x) (neg y))) (+ (* x x) (neg y)) (neg y))
4.0ms	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 (* 1/2 (+ (* x x) (neg y))) (+ (* x x) (neg y)) (neg y))
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 (* 1/2 (+ (* x x) (neg y))) (+ (* x x) (neg y)) (neg y))
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 (* 1/2 (+ (* x x) (neg y))) (+ (* x x) (neg y)) (neg y))
1.0ms	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 (* 1/2 (+ (* x x) (neg y))) (+ (* x x) (neg y)) (neg y))

rewrite83.0ms (9.6%)

Memory

33.5MiB live, 122.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	475
0	86	460
1	307	452
0	2371	446

Stop Event

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

Counts

43 → 171

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

Outputs
#s(approx (* 1/2 (+ (* x x) (neg y))) (*.f64 #s(literal -1/2 binary64) y))
(.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/2 binary64)))
(*.f64 (neg.f64 y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 y))
(neg.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(neg.f64 (*.f64 y #s(literal 1/2 binary64)))
#s(literal -1/2 binary64)
y
(.f64 #s(approx (+ ( x x) (neg y)) (*.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( x x) (neg y)) (*.f64 x x)))
(neg.f64 (.f64 #s(approx (+ ( x x) (neg y)) (*.f64 x x)) #s(literal -1/2 binary64)))
(neg.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( x x) (neg y)) (*.f64 x x))))
#s(literal 1/2 binary64)
#s(approx (+ (* x x) (neg y)) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
(.f64 (-.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(.f64 #s(literal -1/2 binary64) (-.f64 y (.f64 x x)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y)) #s(literal 1/2 binary64)) (fma.f64 x x y))
(/.f64 (.f64 (-.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2 binary64)) (-.f64 (neg.f64 y) (.f64 x x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 y (fma.f64 x x y))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 y y) y)) #s(literal 1/2 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x y) (.f64 y y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y))) (fma.f64 x x y))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 (neg.f64 y) (.f64 x x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 y (fma.f64 x x y))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 y y) y))) (fma.f64 (.f64 x x) (fma.f64 x x y) (.f64 y y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) y (.f64 (.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y)))))
(neg.f64 (.f64 (-.f64 (.f64 x x) y) #s(literal -1/2 binary64)))
(neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x x) y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/2 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 x x y) (-.f64 (.f64 x x) y))) (neg.f64 (fma.f64 x x y)))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 (-.f64 (neg.f64 y) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 y (fma.f64 x x y)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x y) (*.f64 y y))))
(/.f64 (.f64 (fma.f64 x x y) (-.f64 (.f64 x x) y)) (fma.f64 x x y))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 y (fma.f64 x x y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 x x) (fma.f64 x x y) (*.f64 y y)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (neg.f64 y))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 y))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (neg.f64 y))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (neg.f64 y))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (neg.f64 y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (neg.f64 y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (neg.f64 y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (neg.f64 y))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 y))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 x x (neg.f64 y))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 y (fma.f64 x x y)))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 y (fma.f64 x x y)))))
(-.f64 (/.f64 (.f64 y y) (-.f64 (neg.f64 y) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (neg.f64 y) (.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x y)) (/.f64 (.f64 y y) (fma.f64 x x y)))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) y)
(-.f64 (neg.f64 y) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 y (fma.f64 x x y)))) (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 y (fma.f64 x x y)))))
(+.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (fma.f64 (.f64 x x) (fma.f64 x x y) (.f64 y y))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x x y) (*.f64 y y))))
(+.f64 (*.f64 x x) (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 x x))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(approx (* 1/2 (+ (* x x) (neg y))) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* 1/2 (+ (* x x) (neg y))) (.f64 (-.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (+ (* x x) (neg y)) (neg.f64 y))
#s(approx (+ (* x x) (neg y)) (-.f64 (*.f64 x x) y))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* 1/2 (+ (* x x) (neg y))) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* 1/2 (+ (* x x) (neg y))) (.f64 (-.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (+ (* x x) (neg y)) (neg.f64 y))
#s(approx (+ (* x x) (neg y)) (-.f64 (*.f64 x x) y))
#s(approx (* 1/2 (+ (* x x) (neg y))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* x x) (neg y))) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* x x) (neg y)) (*.f64 x x))
#s(approx (+ (* x x) (neg y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) x) x))
#s(approx (* 1/2 (+ (* x x) (neg y))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* x x) (neg y))) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* x x) (neg y)) (*.f64 x x))
#s(approx (+ (* x x) (neg y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) x) x))
#s(approx (* -1/2 y) (*.f64 #s(literal -1/2 binary64) y))
#s(approx y y)
#s(approx (+ (* x x) (neg y)) (-.f64 (*.f64 x x) y))
#s(approx (+ (* x x) (neg y)) (-.f64 (*.f64 x x) y))
#s(approx (neg y) (neg.f64 y))
#s(approx (* 1/2 (+ (* x x) (neg y))) (.f64 (-.f64 (.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (+ (* x x) (neg y)) (*.f64 (fma.f64 x (/.f64 x y) #s(literal -1 binary64)) y))
#s(approx (* 1/2 (+ (* x x) (neg y))) (.f64 (-.f64 (.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (+ (* x x) (neg y)) (*.f64 (fma.f64 x (/.f64 x y) #s(literal -1 binary64)) y))
#s(approx (* 1/2 (+ (* x x) (neg y))) (.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
#s(approx (+ (* x x) (neg y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) y)) (neg.f64 y)))
#s(approx (* 1/2 (+ (* x x) (neg y))) (.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
#s(approx (+ (* x x) (neg y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) y)) (neg.f64 y)))

eval16.0ms (1.8%)

Memory: -5.0MiB live, 39.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 068 to 433 computations (59.5% saved)

prune6.0ms (0.6%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	149	4	153

Accuracy

100.0%

Counts

153 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
✓	48.7%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
✓	52.9%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 50 to 47 computations (6% saved)

regimes18.0ms (2.1%)

Memory

-15.2MiB live, 37.6MiB allocated; 10ms collecting garbage

Counts

4 → 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))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))

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

Calls

5 calls:

11.0ms	y
2.0ms	x
2.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	(-.f64 (*.f64 x x) y)
2.0ms	(*.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)

regimes9.0ms (1.1%)

Memory

-16.1MiB live, 30.7MiB allocated; 2ms 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:

3.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	y
2.0ms	(-.f64 (*.f64 x x) 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)

regimes7.0ms (0.8%)

Memory

22.1MiB live, 22.1MiB 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	(.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
89.5%	2	`(*.f64 x x)`
78.6%	2	`(-.f64 (*.f64 x x) y)`
78.6%	2	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
89.5%	2	`x`
65.8%	3	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes6.0ms (0.7%)

Memory

-29.7MiB live, 17.5MiB allocated; 1ms 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:

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

Results

Accuracy	Segments	Branch
52.9%	1	`y`
52.9%	1	`(-.f64 (*.f64 x x) y)`
52.9%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
52.9%	1	`(*.f64 x x)`
52.9%	1	`x`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch9.0ms (1%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.3528649323708558e-9	2.95221797133596e-6

Samples

4.0ms

128×

valid

Compiler

Compiled 146 to 163 computations (-11.6% saved)

Precisions

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

ival-mult!: 1.0ms (71.4% of total)

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

adjust: 0.0ms (0% of total)

derivations26.0ms (2.9%)

Memory

-7.1MiB live, 37.8MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 24 to 21 computations (12.5% saved)

preprocess38.0ms (4.4%)

Memory: 18.6MiB live, 76.4MiB allocated; 20ms collecting garbage
Remove: (abs x)
Compiler: Compiled 108 to 101 computations (6.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample508.0ms (58.3%)

preprocess14.0ms (1.6%)

series5.0ms (0.5%)

rewrite84.0ms (9.7%)

eval9.0ms (1%)

prune4.0ms (0.4%)

series31.0ms (3.5%)

rewrite83.0ms (9.6%)

eval16.0ms (1.8%)

prune6.0ms (0.6%)

regimes18.0ms (2.1%)

regimes9.0ms (1.1%)

regimes7.0ms (0.8%)

regimes6.0ms (0.7%)

bsearch9.0ms (1%)

derivations26.0ms (2.9%)

preprocess38.0ms (4.4%)

end0.0ms (0%)

Profiling