Jmat.Real.erfi, branch x greater than or equal to 5

Time bar (total: 4.6s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 107 to 34 computations (68.2% saved)

sample1.6s (35.7%)

Memory
99.9MiB live, 1 750.7MiB allocated; 1.1s collecting garbage
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 939.0ms
ival-mult!: 376.0ms (40% of total)
ival-div!: 332.0ms (35.4% of total)
ival-add!: 99.0ms (10.5% of total)
ival-exp: 78.0ms (8.3% of total)
ival-fabs: 52.0ms (5.5% of total)
adjust: 1.0ms (0.1% of total)
Bogosity

preprocess40.0ms (0.9%)

Memory
3.4MiB live, 49.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054178
1341123
21295102
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Symmetry

(abs x)

Compiler

Compiled 172 to 62 computations (64% saved)

series44.0ms (1%)

Memory
8.3MiB live, 62.1MiB allocated; 9ms collecting garbage
Counts
31 → 19
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.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)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15 binary64)
#s(literal 8 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
Outputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))))
#s(approx (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))))
#s(approx (exp (* (fabs x) (fabs x))) #s(hole binary64 (exp (pow (fabs x) 2))))
#s(approx (* (fabs x) (fabs x)) #s(hole binary64 (pow (fabs x) 2)))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
#s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))
#s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
#s(approx (/ 1 (fabs x)) #s(hole binary64 (/ 1 (fabs x))))
#s(approx (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 1/2 (pow (fabs x) 3))))
#s(approx (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 3))))
#s(approx (* (/ 1 (fabs x)) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 2))))
#s(approx (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 3/4 (pow (fabs x) 5))))
#s(approx (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 5))))
#s(approx (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 4))))
#s(approx (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 15/8 (pow (fabs x) 7))))
#s(approx (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 7))))
#s(approx (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 6))))
Calls

3 calls:

TimeVariablePointExpression
17.0ms
x
@0
((* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (/ 1 (sqrt (PI))) 1 (sqrt (PI)) (PI) (exp (* (fabs x) (fabs x))) (* (fabs x) (fabs x)) (fabs x) x (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 1 2) 2 (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 3 4) 3 4 (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 15 8) 15 8 (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
13.0ms
x
@-inf
((* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (/ 1 (sqrt (PI))) 1 (sqrt (PI)) (PI) (exp (* (fabs x) (fabs x))) (* (fabs x) (fabs x)) (fabs x) x (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 1 2) 2 (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 3 4) 3 4 (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 15 8) 15 8 (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
12.0ms
x
@inf
((* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (/ 1 (sqrt (PI))) 1 (sqrt (PI)) (PI) (exp (* (fabs x) (fabs x))) (* (fabs x) (fabs x)) (fabs x) x (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 1 2) 2 (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 3 4) 3 4 (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 15 8) 15 8 (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))

rewrite231.0ms (5.1%)

Memory
-9.8MiB live, 174.7MiB allocated; 57ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01081197
0161717
1526525
04923498
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
50 → 737
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.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)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15 binary64)
#s(literal 8 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))))
#s(approx (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))))
#s(approx (exp (* (fabs x) (fabs x))) #s(hole binary64 (exp (pow (fabs x) 2))))
#s(approx (* (fabs x) (fabs x)) #s(hole binary64 (pow (fabs x) 2)))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
#s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))
#s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
#s(approx (/ 1 (fabs x)) #s(hole binary64 (/ 1 (fabs x))))
#s(approx (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 1/2 (pow (fabs x) 3))))
#s(approx (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 3))))
#s(approx (* (/ 1 (fabs x)) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 2))))
#s(approx (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 3/4 (pow (fabs x) 5))))
#s(approx (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 5))))
#s(approx (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 4))))
#s(approx (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 15/8 (pow (fabs x) 7))))
#s(approx (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 7))))
#s(approx (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 6))))
Outputs
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -6 binary64)) #s(literal 15/8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x x)))
(*.f64 (*.f64 (exp.f64 (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -6 binary64)) #s(literal 15/8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -6 binary64)) #s(literal 15/8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -6 binary64)) #s(literal 15/8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -6 binary64)) #s(literal 15/8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -6 binary64)) #s(literal 15/8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -6 binary64)) #s(literal 15/8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (-.f64 (pow.f64 (-.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) x)) #s(literal 15/8 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (-.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) x)) #s(literal 15/8 binary64)))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (fma.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64)) #s(literal 3375/512 binary64) (pow.f64 (-.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) x)) #s(literal 15/8 binary64)) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) x)) #s(literal 15/8 binary64)) (-.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x)))) (pow.f64 (-.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (-.f64 (pow.f64 (-.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) x)) #s(literal 15/8 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) x)) #s(literal 15/8 binary64))))
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eval104.0ms (2.3%)

Memory
3.7MiB live, 191.0MiB allocated; 30ms collecting garbage
Compiler

Compiled 17 051 to 4 409 computations (74.1% saved)

prune15.0ms (0.3%)

Memory
-13.0MiB live, 31.8MiB allocated; 4ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New7203723
Fresh000
Picked101
Done000
Total7213724
Accuracy
100.0%
Counts
724 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
100.0%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64) (-.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
Compiler

Compiled 237 to 118 computations (50.2% saved)

series55.0ms (1.2%)

Memory
7.8MiB live, 97.7MiB allocated; 10ms collecting garbage
Counts
61 → 99
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64) (-.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(*.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64) (-.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64) (-.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x))))
(pow.f64 (fabs.f64 x) #s(literal -5 binary64))
(fabs.f64 x)
x
#s(literal -5 binary64)
#s(literal 3/4 binary64)
(-.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (fabs.f64 x) #s(literal -7 binary64))
#s(literal -7 binary64)
#s(literal 15/8 binary64)
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x))
#s(literal -1/2 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 x x))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3/4 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15 binary64)
#s(literal 8 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x))
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.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)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
Outputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))))
#s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) #s(hole binary64 (* 1/2 (* (/ 1 (pow x 3)) (sqrt (/ 1 (PI)))))))
#s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 3))))
#s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (* x (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (pow (fabs x) 5)))))) (sqrt (/ 1 (PI))))))) (pow x 3))))
#s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* x (+ (* 1/4 (* x (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (pow (fabs x) 5))))))))))) (pow x 3))))
#s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) #s(hole binary64 (/ 1/2 (pow x 3))))
#s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 3) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7))))))) (pow x 3))))
#s(approx (pow (fabs x) -5) #s(hole binary64 (/ 1 (pow (fabs x) 5))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x))) #s(hole binary64 (/ 1/2 (pow x 3))))
#s(approx (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x))) #s(hole binary64 (/ (+ 1/2 (* (pow x 3) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7)))))) (pow x 3))))
#s(approx (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) #s(hole binary64 (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7))))))
#s(approx (pow (fabs x) -7) #s(hole binary64 (/ 1 (pow (fabs x) 7))))
#s(approx (/ 1 (fabs x)) #s(hole binary64 (/ 1 (fabs x))))
#s(approx (/ -1/2 (* (* x x) x)) #s(hole binary64 (/ -1/2 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (exp (* x x)) (sqrt (PI))) #s(hole binary64 (sqrt (/ 1 (PI)))))
#s(approx (/ (exp (* x x)) (sqrt (PI))) #s(hole binary64 (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))))
#s(approx (/ (exp (* x x)) (sqrt (PI))) #s(hole binary64 (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))))))))
#s(approx (/ (exp (* x x)) (sqrt (PI))) #s(hole binary64 (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI)))))))))))
#s(approx (exp (* x x)) #s(hole binary64 1))
#s(approx (exp (* x x)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (exp (* x x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))))
#s(approx (exp (* x x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (* 3/4 (* (/ (exp (pow (fabs x) 2)) (pow x 5)) (sqrt (/ 1 (PI)))))))
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Calls

3 calls:

TimeVariablePointExpression
21.0ms
x
@-inf
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15.0ms
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13.0ms
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rewrite357.0ms (7.8%)

Memory
4.1MiB live, 283.2MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04085516
05233880
125473332
0104513146
Stop Event
iter-limit
node-limit
iter-limit
Counts
160 → 993
Calls
Call 1
Inputs
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#s(approx (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 1/2 (pow (fabs x) 3))))
#s(approx (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 3/4 (pow (fabs x) 5))))
#s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (* (exp (pow x 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7)))))))))
#s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) #s(hole binary64 (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 3)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow x 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7))))))))))
#s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) #s(hole binary64 (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7)))))))
#s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) #s(hole binary64 (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow x 3))))))))
#s(approx (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x))) #s(hole binary64 (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7))))))
#s(approx (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x))) #s(hole binary64 (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow x 3)))))))
#s(approx (/ (exp (* x x)) (sqrt (PI))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))
#s(approx (exp (* x x)) #s(hole binary64 (exp (pow x 2))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7)))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (pow x 5)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7))))))))))
#s(approx (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7))))))
#s(approx (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (* (pow x 2) (fabs x))))))))
#s(approx (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 3/4 (pow x 5)) (/ 1 (fabs x)))))))
#s(approx (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) #s(hole binary64 (/ 1 (fabs x))))
#s(approx (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) #s(hole binary64 (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (* (pow x 2) (fabs x)))))))
#s(approx (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) #s(hole binary64 (+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 3/4 (pow x 5)) (/ 1 (fabs x))))))
#s(approx (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x)))) #s(hole binary64 (/ 1 (fabs x))))
#s(approx (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x)))) #s(hole binary64 (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (* (pow x 2) (fabs x)))))))
#s(approx (- 1 (/ -1/2 (* x x))) #s(hole binary64 1))
#s(approx (- 1 (/ -1/2 (* x x))) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (* (exp (pow x 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))))
#s(approx (* (/ 1 (sqrt (PI))) (pow (exp x) x)) #s(hole binary64 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))
#s(approx (pow (exp x) x) #s(hole binary64 (exp (pow x 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
Outputs
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(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))
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#s(approx (/ (exp (* x x)) (sqrt (PI))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
#s(approx (/ (exp (* x x)) (sqrt (PI))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
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#s(approx (/ (exp (* x x)) (sqrt (PI))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (exp (* x x)) #s(literal 1 binary64))
#s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))
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#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
#s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)))
#s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))
#s(approx (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64)))
#s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
#s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
#s(approx (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)))
#s(approx (/ (exp (* x x)) (sqrt (PI))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))
#s(approx (exp (* x x)) (exp.f64 (*.f64 x x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (fma.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)))
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#s(approx (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x)))) (/.f64 #s(literal 1 binary64) x))
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#s(approx (- 1 (/ -1/2 (* x x))) #s(literal 1 binary64))
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#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)))))
#s(approx (/ (exp (* x x)) (sqrt (PI))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))
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#s(approx (exp x) (exp.f64 x))

eval193.0ms (4.2%)

Memory
13.4MiB live, 284.4MiB allocated; 82ms collecting garbage
Compiler

Compiled 22 531 to 6 199 computations (72.5% saved)

prune29.0ms (0.6%)

Memory
13.6MiB live, 70.2MiB allocated; 11ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1 06191 070
Fresh000
Picked303
Done000
Total1 06491 073
Accuracy
100.0%
Counts
1 073 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)))))
99.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
100.0%
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)))))
33.3%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 #s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
1.2%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 x x) x))))
1.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
99.7%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x))))
99.7%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) #s(literal 3/4 binary64)))
Compiler

Compiled 1 522 to 924 computations (39.3% saved)

series40.0ms (0.9%)

Memory
-0.6MiB live, 92.2MiB allocated; 6ms collecting garbage
Counts
42 → 107
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
x
#s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
#s(literal 3/4 binary64)
(fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))
(pow.f64 x #s(literal -7 binary64))
#s(literal -7 binary64)
#s(literal 15/8 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
#s(literal 1/2 binary64)
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 #s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(*.f64 #s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))
#s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 x x))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
Outputs
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (+ (* (sqrt (/ 1 (PI))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (* (* (pow x 2) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (+ (* (sqrt (/ 1 (PI))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (* (pow x 2) (+ (* 1/2 (* (* (pow x 2) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (+ (* (sqrt (/ 1 (PI))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (* (pow x 2) (+ (* 1/6 (* (* (pow x 2) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))))))))))
#s(approx (* (/ 1 (sqrt (PI))) (pow (exp x) x)) #s(hole binary64 (sqrt (/ 1 (PI)))))
#s(approx (* (/ 1 (sqrt (PI))) (pow (exp x) x)) #s(hole binary64 (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))))
#s(approx (* (/ 1 (sqrt (PI))) (pow (exp x) x)) #s(hole binary64 (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))))))))
#s(approx (* (/ 1 (sqrt (PI))) (pow (exp x) x)) #s(hole binary64 (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI)))))))))))
#s(approx (pow (exp x) x) #s(hole binary64 1))
#s(approx (pow (exp x) x) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (pow (exp x) x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))))
#s(approx (pow (exp x) x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
#s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) #s(hole binary64 (/ 15/8 (pow x 7))))
#s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) #s(hole binary64 (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))))
#s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) #s(hole binary64 (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))))
#s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) #s(hole binary64 (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))))
#s(approx (/ (/ 1 (* (* x x) (* x x))) x) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (/ 1 (* (* x x) (* x x))) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)) #s(hole binary64 (/ 15/8 (pow x 7))))
#s(approx (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)) #s(hole binary64 (/ (+ 15/8 (* 1/2 (pow x 4))) (pow x 7))))
#s(approx (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)) #s(hole binary64 (/ (+ 15/8 (* (pow x 4) (+ 1/2 (pow x 2)))) (pow x 7))))
#s(approx (pow x -7) #s(hole binary64 (/ 1 (pow x 7))))
#s(approx (/ (- 1 (/ -1/2 (* x x))) x) #s(hole binary64 (/ 1/2 (pow x 3))))
#s(approx (/ (- 1 (/ -1/2 (* x x))) x) #s(hole binary64 (/ (+ 1/2 (pow x 2)) (pow x 3))))
#s(approx (- 1 (/ -1/2 (* x x))) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (- 1 (/ -1/2 (* x x))) #s(hole binary64 (/ (+ 1/2 (pow x 2)) (pow x 2))))
#s(approx (/ -1/2 (* x x)) #s(hole binary64 (/ -1/2 (pow x 2))))
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Calls

3 calls:

TimeVariablePointExpression
13.0ms
x
@0
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12.0ms
x
@-inf
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10.0ms
x
@inf
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rewrite197.0ms (4.3%)

Memory
15.5MiB live, 195.7MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05226101
05824807
135834213
085403981
Stop Event
iter-limit
node-limit
iter-limit
Counts
149 → 575
Calls
Call 1
Inputs
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#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (pow x 5)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7))))))))))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (pow x -7) 15/8) (/ 1 x))) #s(hole binary64 (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (pow x -7) 15/8) (/ 1 x))) #s(hole binary64 (/ (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)))
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#s(approx (+ (* (pow x -7) 15/8) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* 15/8 (/ 1 (pow x 6)))) x)))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) #s(hole binary64 (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)))
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#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) #s(hole binary64 (* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))))
Outputs
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x
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#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (fma.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (fma.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) #s(literal 3/4 binary64)))))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (pow x -7) 15/8) (/ 1 x))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (pow x -7) 15/8) (/ 1 x))) (/.f64 (fma.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) #s(literal 15/8 binary64) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) x))
#s(approx (+ (* (pow x -7) 15/8) (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (pow x -7) 15/8) (/ 1 x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 15/8 binary64) #s(literal 1 binary64)) x))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) x))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 3/4 binary64) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))) x))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 3/4 binary64) (fma.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) #s(literal 15/8 binary64) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))) x))
#s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x)))
#s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))
#s(approx (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x)))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (pow x -7) 15/8) (/ 1 x))) (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) #s(literal -15/8 binary64) (neg.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))) x)))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 x x)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))) x)))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 x x)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))) x)))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) #s(literal -15/8 binary64) (+.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 x x)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))) x)))

eval129.0ms (2.8%)

Memory
27.2MiB live, 209.5MiB allocated; 33ms collecting garbage
Compiler

Compiled 15 095 to 4 050 computations (73.2% saved)

prune66.0ms (1.4%)

Memory
-80.6MiB live, 57.7MiB allocated; 94ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New9458953
Fresh404
Picked505
Done000
Total9548962
Accuracy
100.0%
Counts
962 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
99.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
100.0%
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
99.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x)))))
99.7%
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x)))
1.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))
1.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 x x)) x) #s(literal 1/2 binary64))))
1.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
Compiler

Compiled 1 666 to 998 computations (40.1% saved)

series36.0ms (0.8%)

Memory
16.8MiB live, 62.2MiB allocated; 7ms collecting garbage
Counts
45 → 119
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
x
#s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x))))
#s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)
(-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
#s(literal 15/8 binary64)
(*.f64 x x)
#s(literal 3/4 binary64)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))
#s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x)))
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Outputs
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#s(approx (exp x) #s(hole binary64 (+ 1 x)))
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#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
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Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
((* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (/ 1 (sqrt (PI))) 1 (sqrt (PI)) (PI) (pow (exp x) x) (exp x) x (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg (/ (- (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (- 1 (/ -1/2 (* x x)))) x)) (/ (- (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (- 1 (/ -1/2 (* x x)))) x) (- (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (- 1 (/ -1/2 (* x x)))) (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x)) (+ (/ 15/8 (* x x)) 3/4) (/ 15/8 (* x x)) 15/8 (* x x) 3/4 (* (* (* x x) x) x) (* (* x x) x) (- 1 (/ -1/2 (* x x))) (/ -1/2 (* x x)) -1/2 (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (* (/ 1 (* (sqrt (PI)) (* (* x x) x))) 1/2) (/ 1 (* (sqrt (PI)) (* (* x x) x))) (* (sqrt (PI)) (* (* x x) x)) 1/2 (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (* (/ (/ (/ 1 (sqrt (PI))) (* x x)) x) 1/2) (/ (/ (/ 1 (sqrt (PI))) (* x x)) x) (/ (/ 1 (sqrt (PI))) (* x x)) (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/ (exp (* x x)) (sqrt (PI))) (exp (* x x)) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/ (- 1 (/ -1/2 (* x x))) x) (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))))
10.0ms
x
@0
((* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (/ 1 (sqrt (PI))) 1 (sqrt (PI)) (PI) (pow (exp x) x) (exp x) x (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg (/ (- (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (- 1 (/ -1/2 (* x x)))) x)) (/ (- (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (- 1 (/ -1/2 (* x x)))) x) (- (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (- 1 (/ -1/2 (* x x)))) (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x)) (+ (/ 15/8 (* x x)) 3/4) (/ 15/8 (* x x)) 15/8 (* x x) 3/4 (* (* (* x x) x) x) (* (* x x) x) (- 1 (/ -1/2 (* x x))) (/ -1/2 (* x x)) -1/2 (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (* (/ 1 (* (sqrt (PI)) (* (* x x) x))) 1/2) (/ 1 (* (sqrt (PI)) (* (* x x) x))) (* (sqrt (PI)) (* (* x x) x)) 1/2 (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (* (/ (/ (/ 1 (sqrt (PI))) (* x x)) x) 1/2) (/ (/ (/ 1 (sqrt (PI))) (* x x)) x) (/ (/ 1 (sqrt (PI))) (* x x)) (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/ (exp (* x x)) (sqrt (PI))) (exp (* x x)) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/ (- 1 (/ -1/2 (* x x))) x) (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))))
9.0ms
x
@inf
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rewrite252.0ms (5.5%)

Memory
13.0MiB live, 236.6MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04896511
05535277
130904734
082464275
Stop Event
iter-limit
node-limit
iter-limit
Counts
164 → 540
Calls
Call 1
Inputs
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Outputs
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#s(approx (- (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (- 1 (/ -1/2 (* x x)))) #s(literal -1 binary64))
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#s(approx (- (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (- 1 (/ -1/2 (* x x)))) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)))
#s(approx (- (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (- 1 (/ -1/2 (* x x)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
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#s(approx (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x)) (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (/ 15/8 (* x x)) 3/4) #s(literal 3/4 binary64))
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#s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 3/4 binary64) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))) x))
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eval100.0ms (2.2%)

Memory
24.2MiB live, 216.6MiB allocated; 22ms collecting garbage
Compiler

Compiled 15 223 to 4 402 computations (71.1% saved)

prune41.0ms (0.9%)

Memory
-20.8MiB live, 79.0MiB allocated; 8ms collecting garbage
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New85312865
Fresh123
Picked415
Done000
Total85815873
Accuracy
100.0%
Counts
873 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x))))
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x))))
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))) x)))))
100.0%
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64))) (pow.f64 (exp.f64 x) x)) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
99.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
99.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x)))))
99.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 #s(approx (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (/.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
99.7%
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x)))
1.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) #s(literal 1/2 binary64)) x)))
1.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sqrt.f64 (PI.f64))))))
1.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) x) #s(literal 1/2 binary64))))
1.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))))) #s(literal 1/2 binary64))))
1.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)) x)) #s(literal 1/2 binary64))))
1.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
1.8%
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) x) x) x) #s(literal 1/2 binary64))))
Compiler

Compiled 2 666 to 1 253 computations (53% saved)

regimes71.0ms (1.6%)

Memory
-6.0MiB live, 40.4MiB allocated; 3ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) #s(literal 1/2 binary64)) x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 x x)) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) x) x) x) #s(literal 1/2 binary64))))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))) x)))))
Calls

3 calls:

50.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
8.0ms
x
8.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
100.0%1(fabs.f64 x)
100.0%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
100.0%1x
Compiler

Compiled 89 to 34 computations (61.8% saved)

regimes25.0ms (0.6%)

Memory
27.0MiB live, 27.0MiB allocated; 0ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) #s(literal 1/2 binary64)) x)))
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#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 x x)) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) x) x) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))))) #s(literal 1/2 binary64))))
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#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) #s(literal 3/4 binary64)))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 #s(approx (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (/.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64) (-.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64))) (pow.f64 (exp.f64 x) x)) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) #s(literal 3/4 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Outputs
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64))) (pow.f64 (exp.f64 x) x)) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
Calls

3 calls:

8.0ms
x
8.0ms
(fabs.f64 x)
6.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
100.0%1(fabs.f64 x)
100.0%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
100.0%1x
Compiler

Compiled 89 to 34 computations (61.8% saved)

regimes36.0ms (0.8%)

Memory
-17.6MiB live, 28.5MiB allocated; 2ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
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Outputs
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Calls

3 calls:

21.0ms
x
7.0ms
(fabs.f64 x)
5.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
100.0%1(fabs.f64 x)
100.0%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
100.0%1x
Compiler

Compiled 89 to 34 computations (61.8% saved)

regimes24.0ms (0.5%)

Memory
-14.5MiB live, 29.0MiB allocated; 6ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
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#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) #s(literal 1/2 binary64)) x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 x x)) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) x) x) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 x x) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 #s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) #s(literal 3/4 binary64)))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 #s(approx (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (/.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
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Outputs
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal -3/4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x))))
Calls

3 calls:

6.0ms
x
6.0ms
(fabs.f64 x)
4.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
100.0%1(fabs.f64 x)
100.0%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
100.0%1x
Compiler

Compiled 89 to 34 computations (61.8% saved)

regimes17.0ms (0.4%)

Memory
25.7MiB live, 25.7MiB allocated; 0ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) #s(literal 1/2 binary64)) x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 x x)) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) x) x) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 x x) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 #s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) #s(literal 3/4 binary64)))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 #s(approx (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (/.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
Outputs
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 #s(approx (neg (/ (+ (/ 15/8 (* x x)) 3/4) (* (* (* x x) x) x))) (/.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)))))
Calls

3 calls:

5.0ms
(fabs.f64 x)
5.0ms
x
4.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
99.8%1(fabs.f64 x)
99.8%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
99.8%1x
Compiler

Compiled 89 to 34 computations (61.8% saved)

regimes34.0ms (0.7%)

Memory
-23.9MiB live, 26.2MiB allocated; 31ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) #s(literal 1/2 binary64)) x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 x x)) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) x) x) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 x x) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 #s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) #s(literal 3/4 binary64)))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) x))))
Outputs
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x)))))
Calls

3 calls:

23.0ms
(fabs.f64 x)
5.0ms
x
4.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
99.8%1(fabs.f64 x)
99.8%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
99.8%1x
Compiler

Compiled 89 to 34 computations (61.8% saved)

regimes15.0ms (0.3%)

Memory
27.5MiB live, 27.5MiB allocated; 0ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) #s(literal 1/2 binary64)) x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 x x)) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) x) x) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 x x) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 #s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (/ -1 (* (* x x) x)) (* (/ -1 (* x x)) 3/4)) (* (/ 1 (fabs x)) (- 1 (/ -1/2 (* x x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) #s(literal 3/4 binary64)))
Outputs
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))))
Calls

3 calls:

5.0ms
(fabs.f64 x)
5.0ms
x
3.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
99.8%1(fabs.f64 x)
99.8%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
99.8%1x
Compiler

Compiled 89 to 34 computations (61.8% saved)

regimes17.0ms (0.4%)

Memory
-22.5MiB live, 23.0MiB allocated; 3ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)) x)) #s(literal 1/2 binary64))))
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#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) x) #s(literal 1/2 binary64))))
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#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) x) x) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 x x) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (*.f64 #s(approx (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
Outputs
#s(approx (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x)))
Calls

3 calls:

8.0ms
(fabs.f64 x)
4.0ms
x
3.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
99.7%1(fabs.f64 x)
99.7%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
99.7%1x
Compiler

Compiled 89 to 34 computations (61.8% saved)

regimes11.0ms (0.3%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) #s(literal 1/2 binary64)) x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 x x)) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) x) x) x) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))))) #s(literal 1/2 binary64))))
Outputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))) x) #s(literal 1/2 binary64))))
Calls

3 calls:

3.0ms
x
3.0ms
(fabs.f64 x)
3.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
1.8%1(fabs.f64 x)
1.8%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
1.8%1x
Compiler

Compiled 89 to 34 computations (61.8% saved)

regimes6.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)) x)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (+ (* (pow (fabs x) -5) 3/4) (- (+ (* (pow (fabs x) -7) 15/8) (/ 1 (fabs x))) (/ -1/2 (* (* x x) x)))) (/ (exp (* x x)) (sqrt (PI)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
Outputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(approx (* (/ (exp (* x x)) (sqrt (PI))) (+ (* (/ (/ 1 (* (* x x) (* x x))) x) 3/4) (+ (* (pow x -7) 15/8) (/ (- 1 (/ -1/2 (* x x))) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sqrt.f64 (PI.f64))))))
Calls

3 calls:

2.0ms
(fabs.f64 x)
2.0ms
x
2.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
1.8%1(fabs.f64 x)
1.8%1x
1.8%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Compiler

Compiled 89 to 34 computations (61.8% saved)

derivations623.0ms (13.7%)

Memory
-6.7MiB live, 603.5MiB allocated; 108ms collecting garbage
Stop Event
fuel
Compiler

Compiled 556 to 154 computations (72.3% saved)

preprocess122.0ms (2.7%)

Memory
6.6MiB live, 251.0MiB allocated; 75ms collecting garbage
Remove

(abs x)

Compiler

Compiled 2 794 to 1 469 computations (47.4% saved)

end0.0ms (0%)

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

Profiling

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