Metrics for Data.Random.Distribution.Normal:normalF from random-fu-0.2.6.2

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
100.0%	99.9%	0.0%	0.1%	0.0%	0.0%	0.0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample544.0ms (58.1%)

Memory

9.6MiB live, 723.5MiB allocated; 125ms collecting garbage

Samples

359.0ms

8 256×

valid

Precisions

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

ival-mult!: 129.0ms (63.2% of total)

ival-exp: 74.0ms (36.2% of total)

adjust: 2.0ms (1.0% of total)

Bogosity

preprocess34.0ms (3.6%)

Memory

-12.3MiB live, 34.1MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	63	40
2	195	40
3	727	40

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs y)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series13.0ms (1.4%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	165

Stop Event

1×	iter-limit

Counts

5 → 11

Calls

Call 1

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

Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (exp (* (* x y) y)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (exp (* (* x y) y)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* (* x y) y) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (exp (* (* x y) y)) (exp.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (exp (* (* x y) y)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (exp (* (* x y) y)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx y y)

Calls

6 calls:

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

rewrite127.0ms (13.5%)

Memory

9.5MiB live, 109.8MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	18	16
2	72	16
3	349	16
4	2975	16
0	4050	16

Stop Event

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

Counts

5 → 158

Calls

Call 1

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

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

eval16.0ms (1.7%)

Memory: -23.4MiB live, 23.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 648 to 448 computations (83.1% saved)

prune4.0ms (0.5%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	2	167

Accuracy

100.0%

Counts

167 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	52.7%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series4.0ms (0.4%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	141

Stop Event

1×	iter-limit

Counts

2 → 7

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (exp (* (* x y) y)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (exp (* (* x y) y)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (exp (* (* x y) y)) (exp.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (exp (* (* x y) y)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (exp (* (* x y) y)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))

Calls

6 calls:

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

rewrite152.0ms (16.3%)

Memory

2.5MiB live, 237.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
0	7	9
1	20	9
2	79	9
3	405	9
4	3509	9
0	4069	9

Stop Event

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

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)

eval1.0ms (0.1%)

Memory: 3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 133 to 48 computations (63.9% saved)

prune1.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	6	2	8

Accuracy

100.0%

Counts

8 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	52.7%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes14.0ms (1.5%)

Memory

13.3MiB live, 60.2MiB allocated; 1ms collecting garbage

Counts

1 → 1

2 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Call 2

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

Outputs
(exp.f64 (.f64 (.f64 x y) y))

Calls

8 calls:

3.0ms	(exp.f64 (.f64 (.f64 x y) y))
2.0ms	x
2.0ms	y
2.0ms	(.f64 (.f64 x y) y)
1.0ms	y

Results

Accuracy	Segments	Branch
52.7%	1	`(.f64 (.f64 x y) y)`
52.7%	1	`(exp.f64 (.f64 (.f64 x y) y))`
52.7%	1	`x`
52.7%	1	`y`
100.0%	1	`(.f64 (.f64 x y) y)`
100.0%	1	`(exp.f64 (.f64 (.f64 x y) y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 40 to 36 computations (10.0% saved)

derivations1.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess24.0ms (2.6%)

Memory: -34.5MiB live, 70.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 48 to 39 computations (18.8% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample544.0ms (58.1%)

preprocess34.0ms (3.6%)

sample0.0ms (0.0%)

series13.0ms (1.4%)

rewrite127.0ms (13.5%)

eval16.0ms (1.7%)

prune4.0ms (0.5%)

sample0.0ms (0.0%)

series4.0ms (0.4%)

rewrite152.0ms (16.3%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

regimes14.0ms (1.5%)

derivations1.0ms (0.1%)

preprocess24.0ms (2.6%)

end0.0ms (0.0%)

Profiling