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

Time bar (total: 962.0ms)

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
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample639.0ms (66.3%)

Memory
-3.8MiB live, 1 237.6MiB allocated; 186ms collecting garbage
Samples
460.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-exp: 108.0ms (53.7% of total)
ival-mult!: 92.0ms (45.8% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess59.0ms (6.1%)

Memory
-24.8MiB live, 67.7MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01638
16538
219938
367238
4585838
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series8.0ms (0.9%)

Memory
24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048158
Stop Event
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:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
y
inf
1.0ms
x
0
1.0ms
y
-inf

rewrite52.0ms (5.4%)

Memory
7.9MiB live, 54.3MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
12115
29415
076515
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
5 → 105
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
x
(exp.f64 (*.f64 y y))
(*.f64 y y)
y
Outputs
(*.f64 (*.f64 x (+.f64 (/.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) #s(literal 1 binary64))) (cosh.f64 (*.f64 y y)))
(*.f64 (*.f64 x (exp.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))))) (exp.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64)))))
(*.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 (+.f64 (/.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 y y)) x))
(*.f64 (exp.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) x))
(*.f64 (exp.f64 (*.f64 y y)) x)
(*.f64 x (exp.f64 (*.f64 y y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) x) (exp.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64))) x) (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 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)))))
(fma.f64 (sinh.f64 (*.f64 y y)) x (*.f64 (cosh.f64 (*.f64 y y)) x))
(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 (sinh.f64 (*.f64 y y)) x))
(-.f64 (*.f64 (cosh.f64 (*.f64 y y)) x) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 y y))))
(-.f64 (*.f64 (cosh.f64 (*.f64 y y)) x) (*.f64 (sinh.f64 (*.f64 (neg.f64 y) y)) x))
(-.f64 (*.f64 (cosh.f64 (*.f64 y y)) x) (neg.f64 (*.f64 (sinh.f64 (*.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 (sinh.f64 (*.f64 y y)) x))
x
(*.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 (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 (neg.f64 (exp.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))))) (neg.f64 (exp.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (fabs.f64 (+.f64 (/.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) #s(literal 1 binary64))) (fabs.f64 (cosh.f64 (*.f64 y y))))
(*.f64 (fabs.f64 (exp.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))))) (fabs.f64 (exp.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 y y))) (sqrt.f64 (exp.f64 (*.f64 y y))))
(*.f64 (+.f64 (/.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) #s(literal 1 binary64)) (cosh.f64 (*.f64 y y)))
(*.f64 (exp.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) (exp.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y y)))
(*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)))))
(*.f64 (cosh.f64 (*.f64 y y)) (+.f64 (/.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (fabs.f64 y)))
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64))) #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 y) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 y) y)
(/.f64 (*.f64 (+.f64 (/.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y)))) #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 (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))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (neg.f64 y) y)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y)) (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 y y)) (sinh.f64 (*.f64 (neg.f64 y) y))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y y)) (*.f64 #s(literal 2 binary64) (cosh.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 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y y))))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y y)))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (neg.f64 y) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 y)) y))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (exp.f64 (*.f64 y y))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y y))) #s(literal 1/2 binary64) (cosh.f64 (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y))) #s(literal 1/2 binary64) (sinh.f64 (*.f64 y y)))
(sqrt.f64 (exp.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 y) y))))
(-.f64 (sinh.f64 (*.f64 y y)) (neg.f64 (cosh.f64 (*.f64 y y))))
(-.f64 (cosh.f64 (*.f64 y y)) (sinh.f64 (*.f64 (neg.f64 y) y)))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 y y))))
(fabs.f64 (exp.f64 (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (fabs.f64 y))) (fabs.f64 y)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 y))) (neg.f64 y)))
(exp.f64 (*.f64 y y))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y)))
(+.f64 (cosh.f64 (*.f64 y y)) (sinh.f64 (*.f64 y y)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y

eval65.0ms (6.7%)

Memory
-41.4MiB live, 43.3MiB allocated; 84ms collecting garbage
Compiler

Compiled 1 787 to 385 computations (78.5% saved)

prune3.0ms (0.3%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1111112
Fresh000
Picked011
Done000
Total1112113
Accuracy
100.0%
Counts
113 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
46.4%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series9.0ms (1%)

Memory
-41.0MiB live, 10.2MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046148
Stop Event
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:

TimeVariablePoint
1.0ms
x
-inf
0.0ms
x
inf
0.0ms
x
0
0.0ms
y
inf
0.0ms
y
-inf

rewrite47.0ms (4.9%)

Memory
25.1MiB live, 72.1MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
0816
12416
29416
070716
Stop Event
iter-limit
iter-limit
node-limit
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
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 165 to 51 computations (69.1% saved)

prune1.0ms (0.1%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New10010
Fresh000
Picked011
Done011
Total10212
Accuracy
100.0%
Counts
12 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
46.4%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes30.0ms (3.1%)

Memory
-20.5MiB live, 26.7MiB allocated; 2ms 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:

19.0ms
(exp.f64 (*.f64 y y))
1.0ms
x
1.0ms
y
1.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
46.4%1(*.f64 y y)
46.4%1(exp.f64 (*.f64 y y))
46.4%1(*.f64 x (exp.f64 (*.f64 y y)))
46.4%1x
46.4%1y
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%1x
100.0%1y
Compiler

Compiled 44 to 42 computations (4.5% saved)

derivations1.0ms (0.1%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess48.0ms (5%)

Memory
-3.7MiB live, 46.3MiB allocated; 5ms 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

Profiling

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