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

Time bar (total: 911.0ms)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample647.0ms (71%)

Memory
-15.0MiB live, 1 232.2MiB allocated; 164ms collecting garbage
Samples
432.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 237.0ms
ival-mult!: 134.0ms (56.5% of total)
ival-exp: 102.0ms (43% of total)
adjust: 1.0ms (0.4% of total)
Bogosity

explain57.0ms (6.2%)

Memory
20.0MiB live, 113.8MiB allocated; 6ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(exp.f64 (*.f64 y y))
00-0-(*.f64 y y)
00-0-(*.f64 x (exp.f64 (*.f64 y y)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult!: 7.0ms (59.3% of total)
ival-exp: 4.0ms (33.9% of total)
adjust: 0.0ms (0% of total)

preprocess29.0ms (3.2%)

Memory
-22.0MiB live, 30.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01638
15838
217138
341138
4126738
Stop Event
1×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)

series6.0ms (0.6%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
5 → 13
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))) #s(hole binary64 (* x (exp (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x (exp (* y y))) #s(hole binary64 x))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))))
#s(approx (exp (* y y)) #s(hole binary64 1))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (exp (* y y)) #s(hole binary64 (exp (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((* x (exp (* y y))) x (exp (* y y)) (* y y) y)
1.0ms
y
@inf
((* x (exp (* y y))) x (exp (* y y)) (* y y) y)
1.0ms
x
@inf
((* x (exp (* y y))) x (exp (* y y)) (* y y) y)
1.0ms
x
@0
((* x (exp (* y y))) x (exp (* y y)) (* y y) y)
1.0ms
y
@-inf
((* x (exp (* y y))) x (exp (* y y)) (* y y) y)

rewrite102.0ms (11.2%)

Memory
-9.0MiB live, 129.5MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052182
055182
1300178
02855166
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
18 → 65
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
x
(exp.f64 (*.f64 y y))
(*.f64 y y)
y
#s(approx (* x (exp (* y y))) #s(hole binary64 (* x (exp (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x (exp (* y y))) #s(hole binary64 x))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))))
#s(approx (exp (* y y)) #s(hole binary64 1))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (exp (* y y)) #s(hole binary64 (exp (pow y 2))))
Outputs
(*.f64 (pow.f64 (exp.f64 y) y) x)
(*.f64 x (pow.f64 (exp.f64 y) y))
(fma.f64 (cosh.f64 (*.f64 (neg.f64 y) y)) x (*.f64 (sinh.f64 (*.f64 y y)) x))
(fma.f64 x (cosh.f64 (*.f64 (neg.f64 y) y)) (*.f64 x (sinh.f64 (*.f64 y y))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (neg.f64 y) y)) x) (*.f64 (sinh.f64 (*.f64 y y)) x))
(+.f64 (*.f64 x (cosh.f64 (*.f64 (neg.f64 y) y))) (*.f64 x (sinh.f64 (*.f64 y y))))
x
(*.f64 (pow.f64 (exp.f64 y) (/.f64 y #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (exp.f64 (neg.f64 y)) (neg.f64 y))
(pow.f64 (exp.f64 (fabs.f64 y)) (fabs.f64 y))
(pow.f64 (exp.f64 y) y)
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (neg.f64 y) y)) (cosh.f64 (*.f64 (neg.f64 y) y))) (*.f64 (sinh.f64 (*.f64 y y)) (sinh.f64 (*.f64 y y)))) (-.f64 (cosh.f64 (*.f64 (neg.f64 y) y)) (sinh.f64 (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (neg.f64 y) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 (*.f64 (neg.f64 y) y)) (cosh.f64 (*.f64 (neg.f64 y) y))) (-.f64 (*.f64 (sinh.f64 (*.f64 y y)) (sinh.f64 (*.f64 y y))) (*.f64 (cosh.f64 (*.f64 (neg.f64 y) y)) (sinh.f64 (*.f64 y y))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) y))
(exp.f64 (*.f64 y y))
(+.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 (neg.f64 y) y)))
(+.f64 (cosh.f64 (*.f64 (neg.f64 y) y)) (sinh.f64 (*.f64 y y)))
(*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.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
#s(approx (* x (exp (* y y))) (*.f64 (pow.f64 (exp.f64 y) y) x))
#s(approx x x)
#s(approx (* x (exp (* y y))) x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x) (*.f64 y y) x))
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(approx (exp (* y y)) (fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* y y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))

eval8.0ms (0.8%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 746 to 222 computations (70.2% saved)

prune46.0ms (5%)

Memory
-14.2MiB live, 84.1MiB allocated; 9ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New67067
Fresh000
Picked011
Done000
Total67168
Accuracy
100.0%
Counts
68 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

derivations0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 6 to 5 computations (16.7% saved)

preprocess16.0ms (1.8%)

Memory
34.2MiB live, 34.2MiB allocated; 0ms collecting garbage
Remove

(negabs x)

(abs y)

Compiler

Compiled 48 to 40 computations (16.7% saved)

end0.0ms (0%)

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

Profiling

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