Metrics for Data.Number.Erf:$dmerfcx from erf-2.0.0.0

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 8 to 7 computations (12.5% saved)

sample708.0ms (64.7%)

Memory

34.1MiB live, 1 405.8MiB allocated; 385ms collecting garbage

Samples

400.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-exp: 93.0ms (51.4% of total)

ival-mult!: 87.0ms (48.1% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess33.0ms (3%)

Memory

-22.6MiB live, 28.4MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	65	38
2	199	38
3	672	38

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series11.0ms (1%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	158

Stop Event

1×	iter-limit

Counts

5 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite119.0ms (10.8%)

Memory

18.8MiB live, 163.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	21	15
2	94	15
3	477	15
4	3424	15
0	4063	15

Stop Event

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

Counts

5 → 253

Calls

Call 1

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

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

eval27.0ms (2.5%)

Memory: -4.6MiB live, 42.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 168 to 889 computations (78.7% saved)

prune18.0ms (1.6%)

Memory

-36.8MiB live, 10.0MiB allocated; 2ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	259	1	260
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	259	2	261

Accuracy

100.0%

Counts

261 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	53.3%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0.5%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	148

Stop Event

1×	iter-limit

Counts

4 → 10

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite134.0ms (12.3%)

Memory

15.2MiB live, 108.0MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
0	8	16
1	24	16
2	95	16
3	453	16
4	3599	16
0	4291	16

Stop Event

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

Counts

4 → 5

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 165 to 51 computations (69.1% saved)

prune1.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	10	2	12

Accuracy

100.0%

Counts

12 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	53.3%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes10.0ms (1%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 1

Calls

Call 1

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

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

Call 2

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

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

Calls

10 calls:

1.0ms	y
1.0ms	x
1.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	(*.f64 y y)
1.0ms	x

Results

Accuracy	Segments	Branch
53.3%	1	`(*.f64 y y)`
53.3%	1	`(exp.f64 (*.f64 y y))`
53.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
53.3%	1	`x`
53.3%	1	`y`
100.0%	1	`(*.f64 y y)`
100.0%	1	`(exp.f64 (*.f64 y y))`
100.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 44 to 42 computations (4.5% saved)

derivations1.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess26.0ms (2.4%)

Memory

-4.3MiB live, 42.1MiB allocated; 3ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 76 to 63 computations (17.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample708.0ms (64.7%)

preprocess33.0ms (3%)

series11.0ms (1%)

rewrite119.0ms (10.8%)

eval27.0ms (2.5%)

prune18.0ms (1.6%)

series5.0ms (0.5%)

rewrite134.0ms (12.3%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

regimes10.0ms (1%)

derivations1.0ms (0.1%)

preprocess26.0ms (2.4%)

end0.0ms (0%)

Profiling