Logistic distribution

Time bar (total: 3.9s)

start0.0ms (0%)

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

analyze39.0ms (1%)

Memory
-19.4MiB live, 73.0MiB allocated; 8ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 34 to 17 computations (50% saved)

sample1.3s (34%)

Memory
10.6MiB live, 966.8MiB allocated; 218ms collecting garbage
Samples
1.0s8 255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 744.0ms
ival-div!: 327.0ms (44% of total)
ival-mult!: 196.0ms (26.4% of total)
ival-fabs: 75.0ms (10.1% of total)
ival-exp: 68.0ms (9.1% of total)
ival-add!: 40.0ms (5.4% of total)
ival-neg: 35.0ms (4.7% of total)
adjust: 2.0ms (0.3% of total)
ival-<=: 1.0ms (0.1% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
Bogosity

preprocess57.0ms (1.5%)

Memory
-22.0MiB live, 31.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037154
1196112
2905112
35077108
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Symmetry

(abs x)

Compiler

Compiled 42 to 22 computations (47.6% saved)

series20.0ms (0.5%)

Memory
20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Counts
11 → 43
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)
Outputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (exp (* -1 (/ (fabs x) s)))))
#s(approx (/ (neg (fabs x)) s) #s(hole binary32 (* -1 (/ (fabs x) s))))
#s(approx (neg (fabs x)) #s(hole binary32 (* -1 (fabs x))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ (fabs x) s))))))
#s(approx s #s(hole binary32 s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s)))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 4 s)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s))))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 2 s)))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (* -1 (/ (fabs x) s))))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s)))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (/ (fabs x) s) 2)))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
s
@inf
((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) 1)
4.0ms
x
@inf
((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) 1)
3.0ms
s
@-inf
((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) 1)
2.0ms
x
@-inf
((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) 1)
2.0ms
x
@0
((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) 1)

rewrite337.0ms (8.6%)

Memory
10.6MiB live, 146.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02881957
03031540
112191409
268531403
085991337
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
54 → 208
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (exp (* -1 (/ (fabs x) s)))))
#s(approx (/ (neg (fabs x)) s) #s(hole binary32 (* -1 (/ (fabs x) s))))
#s(approx (neg (fabs x)) #s(hole binary32 (* -1 (fabs x))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ (fabs x) s))))))
#s(approx s #s(hole binary32 s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s)))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 4 s)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s))))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 2 s)))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (* -1 (/ (fabs x) s))))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s)))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (/ (fabs x) s) 2)))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
Outputs
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)))
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (/.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))) (neg.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (neg.f32 (neg.f32 (*.f32 (neg.f32 s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32))))))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32))) s)
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (neg.f32 (*.f32 (neg.f32 s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)))))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (*.f32 (neg.f32 s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s))
(pow.f32 (*.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)) #s(literal -1 binary32))
(+.f32 (/.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)) (/.f32 (sinh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (neg.f32 s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (neg.f32 s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
(-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (/.f32 (fabs.f32 x) s)))
(fma.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32) (*.f32 (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 1 binary32) (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s)))))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (fabs.f32 x)))
(pow.f32 (exp.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (exp.f32 (fabs.f32 x)) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 (fabs.f32 x)) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 (fabs.f32 x)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 (fabs.f32 x))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(+.f32 (cosh.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) (sinh.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))))
(+.f32 (*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal 1 binary32) (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s)))))
(+.f32 (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(+.f32 (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s))) (cosh.f32 (/.f32 (fabs.f32 x) s)))
(+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s))))
(fabs.f32 (-.f32 (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)))))
(fabs.f32 (-.f32 (sinh.f32 (/.f32 (fabs.f32 x) s)) (cosh.f32 (/.f32 (fabs.f32 x) s))))
(fabs.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 1 binary32)))
(fabs.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(fabs.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(fabs.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(fabs.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(fabs.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(exp.f32 (+.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 0 binary32)))
(exp.f32 (+.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) #s(literal 0 binary32)))
(exp.f32 (+.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))))
(exp.f32 (/.f32 (*.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(neg.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)))
(*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) s))
(*.f32 (neg.f32 (fabs.f32 x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (fabs.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(*.f32 (fabs.f32 x) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (fabs.f32 x) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s))
(/.f32 (neg.f32 (*.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (fabs.f32 x)) s)
(/.f32 (fabs.f32 x) (neg.f32 s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(*.f32 #s(literal -1 binary32) (fabs.f32 x))
(*.f32 (fabs.f32 x) #s(literal -1 binary32))
(neg.f32 (fabs.f32 x))
(*.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)))
(*.f32 #s(literal -1 binary32) (neg.f32 (fabs.f32 x)))
(*.f32 (neg.f32 (fabs.f32 x)) #s(literal -1 binary32))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(sqrt.f32 (*.f32 x x))
(pow.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (neg.f32 (neg.f32 x))))
(fabs.f32 (*.f32 (neg.f32 (neg.f32 x)) #s(literal 1 binary32)))
(fabs.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 x))))
(fabs.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(fabs.f32 (*.f32 x #s(literal 1 binary32)))
(fabs.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)))
(fabs.f32 (*.f32 #s(literal 1 binary32) x))
(fabs.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (fabs.f32 x))))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (*.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)))
(fabs.f32 (neg.f32 x))
(fabs.f32 (neg.f32 (fabs.f32 x)))
(fabs.f32 (fabs.f32 x))
(fabs.f32 x)
(neg.f32 (neg.f32 (fabs.f32 x)))
x
s
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)
(*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))
(*.f32 s (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(-.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (*.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(-.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))
(-.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (neg.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
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#s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)))
#s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) s) #s(literal -1/6 binary32))) s)) s)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 3 binary32))) s) #s(literal -4 binary32)) s))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (fma.f32 #s(literal -3 binary32) (*.f32 x x) (*.f32 #s(literal 5/3 binary32) (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) s))) s)) s)) s))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (fma.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32) (+.f32 s s)))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)) s))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) s) #s(literal -1/6 binary32))) s)) s)) s))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) s) #s(literal -1/6 binary32))) s)) s)))

eval26.0ms (0.7%)

Memory
4.4MiB live, 56.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 4 056 to 1 042 computations (74.3% saved)

prune12.0ms (0.3%)

Memory
-23.1MiB live, 23.2MiB allocated; 5ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New18211193
Fresh000
Picked101
Done000
Total18311194
Accuracy
99.9%
Counts
194 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(pow.f32 (*.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
99.6%
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))))
▶99.7%
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
99.7%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
▶94.8%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
94.4%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
39.6%
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))))
▶99.7%
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
99.6%
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)))
▶23.2%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
▶27.4%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
Compiler

Compiled 484 to 322 computations (33.5% saved)

series50.0ms (1.3%)

Memory
26.7MiB live, 118.2MiB allocated; 12ms collecting garbage
Counts
35 → 88
Calls
Call 1
Inputs
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)
(-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))
#s(literal -1 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
(/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s)
(-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32))
(/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 s s))
(fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/8 binary32)))
#s(literal -3/16 binary32)
(*.f32 x x)
(*.f32 (*.f32 x x) #s(literal 1/8 binary32))
#s(literal 1/8 binary32)
(*.f32 s s)
#s(literal -1/4 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))
(+.f32 s s)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s)
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32))
#s(literal -2 binary32)
Outputs
#s(approx (/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (exp (* -1 (/ (fabs x) s)))))
#s(approx (/ (neg (fabs x)) s) #s(hole binary32 (* -1 (/ (fabs x) s))))
#s(approx (neg (fabs x)) #s(hole binary32 (* -1 (fabs x))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ (fabs x) s))))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 1/4))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))))
#s(approx (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* -3/16 (* x x)) (* (* x x) 1/8)) #s(hole binary32 (* -1/16 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (* x x) 1/8) #s(hole binary32 (* 1/8 (pow x 2))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))))
#s(approx (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) #s(hole binary32 (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))
#s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) #s(hole binary32 (/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (+ 1 (exp (* -1 (/ (fabs x) s))))))))
#s(approx s #s(hole binary32 s))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 3))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 3))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (+ s s) #s(hole binary32 (* 2 s)))
#s(approx (/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)))
#s(approx (/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
#s(approx (/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ 1/2 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (- (+ 1/2 (* -1/2 (/ (fabs x) s))) (* -1/4 (/ (fabs x) s))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (- (+ 1/2 (+ (* -1/2 (/ (fabs x) s)) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1/2 (/ (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1/4 (/ (fabs x) s)) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (- (+ 1/2 (+ (* -1/2 (/ (fabs x) s)) (+ (* -1/12 (/ (pow (fabs x) 3) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1/2 (/ (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1/2 (/ (* (fabs x) (- (* 1/4 (pow (fabs x) 2)) (+ (* -1/2 (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x))))) (* 1/8 (pow (fabs x) 2))))) (pow s 3))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/8 (/ (pow (fabs x) 2) (pow s 2))) (* 1/4 (/ (* (pow (fabs x) 2) (- (* -1/2 (fabs x)) (* -1/4 (fabs x)))) (pow s 3))))))))) s)))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s)))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* s (+ 2 (* -1 (/ (fabs x) s))))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s)))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))) s)))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 4 s)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s))))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))))
#s(approx (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) #s(hole binary32 (/ (+ 1/4 (* 1/4 (/ (fabs x) s))) s)))
#s(approx (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s))) s)))
#s(approx (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
#s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) #s(hole binary32 (+ 1/4 (* 1/4 (/ (fabs x) s)))))
#s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) #s(hole binary32 (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s)))))
#s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) #s(hole binary32 (- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))))))
#s(approx (/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (/ (- (* -1/8 (/ (pow (fabs x) 2) (pow s 2))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/8 (/ (pow (fabs x) 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/96 (pow (fabs x) 4)) (+ (* -1/4 (* (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))))))) (+ (* 1/16 (+ (* -1/3 (pow (fabs x) 4)) (+ (* -1/4 (pow (fabs x) 4)) (* -1/6 (pow (fabs x) 4))))) (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))))))) s)) (* -1/24 (pow (fabs x) 3))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/8 (/ (pow (fabs x) 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1/2 (fabs x)) (* -1/4 (fabs x))) s)) 1/2) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (pow (fabs x) 2)) (+ (* -1/8 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x))))))) s)) (* -1/2 (fabs x))) (* -1/4 (fabs x))) s)) 1/2) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/12 (pow (fabs x) 3)) (+ (* -1/24 (pow (fabs x) 3)) (+ (* 1/4 (* (pow (fabs x) 2) (- (* -1/2 (fabs x)) (* -1/4 (fabs x))))) (* 1/2 (* (fabs x) (- (* -1/4 (pow (fabs x) 2)) (+ (* -1/8 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x)))))))))))) s)) (* -1/4 (pow (fabs x) 2))) (+ (* -1/8 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x))))))) s)) (* -1/2 (fabs x))) (* -1/4 (fabs x))) s)) 1/2) s))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* -1 (* s (- (/ (fabs x) s) 2)))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) 1/4) s))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))))
#s(approx (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) #s(hole binary32 (* -1 (/ (- (* -1/4 (/ (fabs x) s)) 1/4) s))))
#s(approx (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 1/4 (fabs x))) s)) 1/4) s))))
#s(approx (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (+ (* -1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))))) s)) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)) 1/4) s))))
#s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) #s(hole binary32 (+ 1/4 (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs x) 2) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s))) (* 1/4 (fabs x))) s)))))
#s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) #s(hole binary32 (+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (+ (* -1/16 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1) -1 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) (+ (* -3/16 (* x x)) (* (* x x) 1/8)) -3/16 (* x x) (* (* x x) 1/8) 1/8 (* s s) -1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ s s) (+ 1 (exp (/ (neg (fabs x)) s))) 1 (* (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) (exp (/ (neg (fabs x)) s))) (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) -2)
10.0ms
x
@0
((/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1) -1 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) (+ (* -3/16 (* x x)) (* (* x x) 1/8)) -3/16 (* x x) (* (* x x) 1/8) 1/8 (* s s) -1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ s s) (+ 1 (exp (/ (neg (fabs x)) s))) 1 (* (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) (exp (/ (neg (fabs x)) s))) (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) -2)
9.0ms
s
@-inf
((/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1) -1 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) (+ (* -3/16 (* x x)) (* (* x x) 1/8)) -3/16 (* x x) (* (* x x) 1/8) 1/8 (* s s) -1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ s s) (+ 1 (exp (/ (neg (fabs x)) s))) 1 (* (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) (exp (/ (neg (fabs x)) s))) (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) -2)
6.0ms
x
@inf
((/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1) -1 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) (+ (* -3/16 (* x x)) (* (* x x) 1/8)) -3/16 (* x x) (* (* x x) 1/8) 1/8 (* s s) -1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ s s) (+ 1 (exp (/ (neg (fabs x)) s))) 1 (* (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) (exp (/ (neg (fabs x)) s))) (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) -2)
5.0ms
s
@0
((/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1) -1 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) (+ (* -3/16 (* x x)) (* (* x x) 1/8)) -3/16 (* x x) (* (* x x) 1/8) 1/8 (* s s) -1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ s s) (+ 1 (exp (/ (neg (fabs x)) s))) 1 (* (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) (exp (/ (neg (fabs x)) s))) (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) -2)

rewrite256.0ms (6.5%)

Memory
5.1MiB live, 255.8MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06204573
06673585
128093517
088153387
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
123 → 506
Calls
Call 1
Inputs
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)
(-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))
#s(literal -1 binary32)
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#s(literal -3/16 binary32)
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#s(literal 1/8 binary32)
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#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) 1/4) s))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))))
#s(approx (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) #s(hole binary32 (* -1 (/ (- (* -1/4 (/ (fabs x) s)) 1/4) s))))
#s(approx (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 1/4 (fabs x))) s)) 1/4) s))))
#s(approx (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (+ (* -1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))))) s)) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)) 1/4) s))))
#s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) #s(hole binary32 (+ 1/4 (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs x) 2) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s))) (* 1/4 (fabs x))) s)))))
#s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) #s(hole binary32 (+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (+ (* -1/16 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)))))
Outputs
(*.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))
(*.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s))))
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s))
(/.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(literal 1 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 1 binary32)) (*.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (neg.f32 (neg.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s))))
(/.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (neg.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s))
(+.f32 (/.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)) (/.f32 (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
(*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))
(+.f32 (/.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (/.f32 (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
(-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (neg.f32 (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s)))))
(-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (/.f32 (fabs.f32 x) s)))
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 (fabs.f32 x))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s))))
(fabs.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(fabs.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(*.f32 (neg.f32 (neg.f32 (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1 binary32))
(*.f32 (neg.f32 (fabs.f32 x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) s))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fabs.f32 x)))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 (fabs.f32 x))) (neg.f32 s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (/.f32 (fabs.f32 x) s))
(*.f32 (fabs.f32 x) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (fabs.f32 x))
(neg.f32 (fabs.f32 x))
(*.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)))
(sqrt.f32 (*.f32 x x))
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(fabs.f32 (neg.f32 (fabs.f32 x)))
(fabs.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) s)
(*.f32 s (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(-.f32 (*.f32 s #s(literal 1 binary32)) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s))
(-.f32 (*.f32 s #s(literal 1 binary32)) (*.f32 (neg.f32 s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(-.f32 (*.f32 s #s(literal 1 binary32)) (neg.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)))
(-.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s))
(-.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (neg.f32 s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(-.f32 (*.f32 #s(literal 1 binary32) s) (neg.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)))
(-.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (neg.f32 s))
(-.f32 s (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s))
(-.f32 s (*.f32 (neg.f32 s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(-.f32 s (neg.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)))
(fma.f32 #s(literal 1 binary32) s (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))
(fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s (neg.f32 (neg.f32 s)))
(fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)
(fma.f32 s #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))
(fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (neg.f32 (neg.f32 s)))
(fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)
(+.f32 (*.f32 s #s(literal 1 binary32)) (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))
(+.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (neg.f32 (neg.f32 s)))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) s)
(+.f32 s (*.f32 (neg.f32 (neg.f32 s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(+.f32 s (neg.f32 (*.f32 (neg.f32 s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(+.f32 s (neg.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))))
(+.f32 s (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))
(neg.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))
(-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32))
(neg.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
#s(literal -1 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))
(*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal -1/4 binary32) (neg.f32 s))
(/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s)))
(/.f32 #s(literal 1/4 binary32) s)
(-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1/4 binary32) s))
#s(literal 1/4 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
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(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
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(pow.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s) #s(literal -1 binary32))
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(pow.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32))
(pow.f32 (fabs.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))) #s(literal -2 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32))
#s(literal -2 binary32)
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#s(approx (exp (/ (neg (fabs x)) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(approx (/ (neg (fabs x)) s) (/.f32 (neg.f32 (fabs.f32 x)) s))
#s(approx (neg (fabs x)) (neg.f32 (fabs.f32 x)))
#s(approx (fabs x) (fabs.f32 x))
#s(approx x x)
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#s(approx (- (exp (/ (neg (fabs x)) s)) -1) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
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#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(literal 1/4 binary32))
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#s(approx (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (* (* x x) 1/8) (*.f32 (*.f32 x x) #s(literal 1/8 binary32)))
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#s(approx s s)
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#s(approx (* s s) (*.f32 s s))
#s(approx (+ s s) (+.f32 s s))
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#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/.f32 #s(literal 1/2 binary32) s))
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#s(approx (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) (/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32) (*.f32 (*.f32 x x) #s(literal -1/4 binary32))) s)) s)) #s(literal 1/4 binary32)) s)))
#s(approx (/ (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) s) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32) (*.f32 (*.f32 x x) #s(literal -1/4 binary32))) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (fabs.f32 x)) (*.f32 #s(literal 3 binary32) (*.f32 x x)) (*.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) (fabs.f32 x))) #s(literal 1/16 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32) (*.f32 (*.f32 x x) #s(literal -1/4 binary32))) (fabs.f32 x))) s)) s)) s)) #s(literal 1/4 binary32)) s)))
#s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32) (*.f32 (*.f32 x x) #s(literal -1/4 binary32))) s) (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s)))
#s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (fabs.f32 x) (/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (fabs.f32 x)) (*.f32 #s(literal 3 binary32) (*.f32 x x)) (*.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) (fabs.f32 x))) #s(literal 1/16 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32) (*.f32 (*.f32 x x) #s(literal -1/4 binary32))) (fabs.f32 x))) s) (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32) (*.f32 (*.f32 x x) #s(literal -1/4 binary32)))) s)) (neg.f32 s))))

eval55.0ms (1.4%)

Memory
6.9MiB live, 96.9MiB allocated; 8ms collecting garbage
Compiler

Compiled 7 969 to 2 363 computations (70.3% saved)

prune25.0ms (0.6%)

Memory
-44.3MiB live, 58.0MiB allocated; 11ms collecting garbage
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New51515530
Fresh246
Picked235
Done000
Total51922541
Accuracy
99.9%
Counts
541 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
99.6%
(/.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
▶99.7%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
▶94.8%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))))
94.4%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
▶27.2%
(/.f32 #s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
39.6%
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))))
99.6%
(*.f32 (/.f32 (pow.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))
✓99.7%
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
47.7%
(*.f32 (/.f32 (pow.f32 (-.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)) #s(literal -2 binary32)) s) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))
94.4%
(*.f32 (/.f32 (pow.f32 #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
99.6%
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)))
52.4%
(*.f32 (/.f32 #s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32) #s(literal 1/4 binary32))) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
94.8%
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)))))
▶24.1%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
23.1%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) s (*.f32 s (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32)))) (*.f32 s s)))
15.7%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1/4 binary32)) s))
22.6%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
▶10.3%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
✓27.4%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
24.1%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
19.0%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))))
Compiler

Compiled 1 086 to 781 computations (28.1% saved)

series50.0ms (1.3%)

Memory
20.7MiB live, 111.6MiB allocated; 11ms collecting garbage
Counts
39 → 96
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)
(-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))
#s(literal -1 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
(/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32))
(/.f32 (*.f32 x x) (*.f32 s s))
(*.f32 x x)
(*.f32 s s)
#s(literal -1/16 binary32)
#s(literal 1/4 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
(/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s)
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x)))
(*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))
(-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s)))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/16 binary32) (*.f32 s s))
#s(literal 1/16 binary32)
(/.f32 #s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32)) s))
(/.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32)) s)
(-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32))
(*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32))
(/.f32 (fabs.f32 x) s)
#s(literal -1/4 binary32)
#s(literal -1/2 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))))
(*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))
(+.f32 s s)
Outputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (exp (* -1 (/ (fabs x) s)))))
#s(approx (/ (neg (fabs x)) s) #s(hole binary32 (* -1 (/ (fabs x) s))))
#s(approx (neg (fabs x)) #s(hole binary32 (* -1 (fabs x))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ (fabs x) s))))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/16) 1/4) #s(hole binary32 1/4))
#s(approx (+ (* (/ (* x x) (* s s)) -1/16) 1/4) #s(hole binary32 (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))))
#s(approx (/ (* x x) (* s s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ 1/4 (pow x 2))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))))
#s(approx (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) #s(hole binary32 (/ (+ 1/2 (* -1/4 (/ (fabs x) s))) s)))
#s(approx (- (* (/ (fabs x) s) -1/4) -1/2) #s(hole binary32 (+ 1/2 (* -1/4 (/ (fabs x) s)))))
#s(approx (* (/ (fabs x) s) -1/4) #s(hole binary32 (* -1/4 (/ (fabs x) s))))
#s(approx (/ (fabs x) s) #s(hole binary32 (/ (fabs x) s)))
#s(approx (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/16) 1/4) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/16) 1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ -1/16 (pow s 2))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))))
#s(approx s #s(hole binary32 s))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/16) 1/4) #s(hole binary32 (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 3))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 3))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 2))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/16) (pow s 2))))
#s(approx (/ 1/16 (* s s)) #s(hole binary32 (/ 1/16 (pow s 2))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (+ 1 (exp (* -1 (/ (fabs x) s))))))))
#s(approx (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) #s(hole binary32 (* -1/4 (/ (fabs x) (pow s 2)))))
#s(approx (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) #s(hole binary32 (/ (+ (* -1/4 (fabs x)) (* 1/2 s)) (pow s 2))))
#s(approx (- (* (/ (fabs x) s) -1/4) -1/2) #s(hole binary32 (/ (+ (* -1/4 (fabs x)) (* 1/2 s)) s)))
#s(approx (+ s s) #s(hole binary32 (* 2 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s)))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* 4 s)))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s))))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* s (+ 2 (* -1 (/ (fabs x) s))))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s)))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))) s)))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ 1/2 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (- (+ 1/2 (* -1/2 (/ (fabs x) s))) (* -1/4 (/ (fabs x) s))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (- (+ 1/2 (+ (* -1/2 (/ (fabs x) s)) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1/2 (/ (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1/4 (/ (fabs x) s)) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (- (+ 1/2 (+ (* -1/2 (/ (fabs x) s)) (+ (* -1/12 (/ (pow (fabs x) 3) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1/2 (/ (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1/2 (/ (* (fabs x) (- (* 1/4 (pow (fabs x) 2)) (+ (* -1/2 (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x))))) (* 1/8 (pow (fabs x) 2))))) (pow s 3))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/8 (/ (pow (fabs x) 2) (pow s 2))) (* 1/4 (/ (* (pow (fabs x) 2) (- (* -1/2 (fabs x)) (* -1/4 (fabs x)))) (pow s 3))))))))) s)))
#s(approx (- (* (/ (fabs x) s) -1/4) -1/2) #s(hole binary32 1/2))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (* -1 (/ (- (* -1/8 (/ (pow (fabs x) 2) (pow s 2))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/8 (/ (pow (fabs x) 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/96 (pow (fabs x) 4)) (+ (* -1/4 (* (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))))))) (+ (* 1/16 (+ (* -1/3 (pow (fabs x) 4)) (+ (* -1/4 (pow (fabs x) 4)) (* -1/6 (pow (fabs x) 4))))) (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))))))) s)) (* -1/24 (pow (fabs x) 3))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/8 (/ (pow (fabs x) 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) s))) s)) 4)))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (+ (* -1 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) s)) (* -1 (pow (fabs x) 2)))) s))) s)) 4)))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* -1 (* s (- (/ (fabs x) s) 2)))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) 1/4) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1/2 (fabs x)) (* -1/4 (fabs x))) s)) 1/2) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (pow (fabs x) 2)) (+ (* -1/8 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x))))))) s)) (* -1/2 (fabs x))) (* -1/4 (fabs x))) s)) 1/2) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/12 (pow (fabs x) 3)) (+ (* -1/24 (pow (fabs x) 3)) (+ (* 1/4 (* (pow (fabs x) 2) (- (* -1/2 (fabs x)) (* -1/4 (fabs x))))) (* 1/2 (* (fabs x) (- (* -1/4 (pow (fabs x) 2)) (+ (* -1/8 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x)))))))))))) s)) (* -1/4 (pow (fabs x) 2))) (+ (* -1/8 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x))))))) s)) (* -1/2 (fabs x))) (* -1/4 (fabs x))) s)) 1/2) s))))
#s(approx (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) #s(hole binary32 (* -1 (/ (- (* 1/4 (/ (fabs x) s)) 1/2) s))))
#s(approx (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))))
#s(approx (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))))
Calls

6 calls:

TimeVariablePointExpression
12.0ms
s
@0
((/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1) -1 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/16) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/16 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (* x x)) (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/ 1/4 (* x x)) (/ 1/16 (* s s)) 1/16 (/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) (- (* (/ (fabs x) s) -1/4) -1/2) (* (/ (fabs x) s) -1/4) (/ (fabs x) s) -1/4 -1/2 (/ (exp (/ (neg (fabs x)) s)) (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s)))))) (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ s s))
9.0ms
x
@-inf
((/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1) -1 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/16) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/16 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (* x x)) (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/ 1/4 (* x x)) (/ 1/16 (* s s)) 1/16 (/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) (- (* (/ (fabs x) s) -1/4) -1/2) (* (/ (fabs x) s) -1/4) (/ (fabs x) s) -1/4 -1/2 (/ (exp (/ (neg (fabs x)) s)) (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s)))))) (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ s s))
8.0ms
s
@inf
((/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1) -1 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/16) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/16 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (* x x)) (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/ 1/4 (* x x)) (/ 1/16 (* s s)) 1/16 (/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) (- (* (/ (fabs x) s) -1/4) -1/2) (* (/ (fabs x) s) -1/4) (/ (fabs x) s) -1/4 -1/2 (/ (exp (/ (neg (fabs x)) s)) (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s)))))) (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ s s))
6.0ms
x
@0
((/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1) -1 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/16) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/16 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (* x x)) (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/ 1/4 (* x x)) (/ 1/16 (* s s)) 1/16 (/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) (- (* (/ (fabs x) s) -1/4) -1/2) (* (/ (fabs x) s) -1/4) (/ (fabs x) s) -1/4 -1/2 (/ (exp (/ (neg (fabs x)) s)) (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s)))))) (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ s s))
5.0ms
s
@-inf
((/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1) -1 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/16) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/16 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (* x x)) (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/ 1/4 (* x x)) (/ 1/16 (* s s)) 1/16 (/ (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (- (exp (/ (neg (fabs x)) s)) -1)) (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) (- (* (/ (fabs x) s) -1/4) -1/2) (* (/ (fabs x) s) -1/4) (/ (fabs x) s) -1/4 -1/2 (/ (exp (/ (neg (fabs x)) s)) (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s)))))) (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ s s))

rewrite205.0ms (5.2%)

Memory
19.0MiB live, 240.9MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06174440
06703581
127013418
083213302
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
135 → 520
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)
(-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))
#s(literal -1 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
(/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32))
(/.f32 (*.f32 x x) (*.f32 s s))
(*.f32 x x)
(*.f32 s s)
#s(literal -1/16 binary32)
#s(literal 1/4 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
(/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s)
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x)))
(*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))
(-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s)))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/16 binary32) (*.f32 s s))
#s(literal 1/16 binary32)
(/.f32 #s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32)) s))
(/.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32)) s)
(-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32))
(*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32))
(/.f32 (fabs.f32 x) s)
#s(literal -1/4 binary32)
#s(literal -1/2 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))))
(*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))
(+.f32 s s)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (exp (* -1 (/ (fabs x) s)))))
#s(approx (/ (neg (fabs x)) s) #s(hole binary32 (* -1 (/ (fabs x) s))))
#s(approx (neg (fabs x)) #s(hole binary32 (* -1 (fabs x))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ (fabs x) s))))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/16) 1/4) #s(hole binary32 1/4))
#s(approx (+ (* (/ (* x x) (* s s)) -1/16) 1/4) #s(hole binary32 (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))))
#s(approx (/ (* x x) (* s s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ 1/4 (pow x 2))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))))
#s(approx (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) #s(hole binary32 (/ (+ 1/2 (* -1/4 (/ (fabs x) s))) s)))
#s(approx (- (* (/ (fabs x) s) -1/4) -1/2) #s(hole binary32 (+ 1/2 (* -1/4 (/ (fabs x) s)))))
#s(approx (* (/ (fabs x) s) -1/4) #s(hole binary32 (* -1/4 (/ (fabs x) s))))
#s(approx (/ (fabs x) s) #s(hole binary32 (/ (fabs x) s)))
#s(approx (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/16) 1/4) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/16) 1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ -1/16 (pow s 2))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))))
#s(approx s #s(hole binary32 s))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/16) 1/4) #s(hole binary32 (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 3))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 3))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 2))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/16) (pow s 2))))
#s(approx (/ 1/16 (* s s)) #s(hole binary32 (/ 1/16 (pow s 2))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (+ 1 (exp (* -1 (/ (fabs x) s))))))))
#s(approx (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) #s(hole binary32 (* -1/4 (/ (fabs x) (pow s 2)))))
#s(approx (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) #s(hole binary32 (/ (+ (* -1/4 (fabs x)) (* 1/2 s)) (pow s 2))))
#s(approx (- (* (/ (fabs x) s) -1/4) -1/2) #s(hole binary32 (/ (+ (* -1/4 (fabs x)) (* 1/2 s)) s)))
#s(approx (+ s s) #s(hole binary32 (* 2 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s)))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* 4 s)))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s))))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* s (+ 2 (* -1 (/ (fabs x) s))))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s)))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))) s)))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ 1/2 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (- (+ 1/2 (* -1/2 (/ (fabs x) s))) (* -1/4 (/ (fabs x) s))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (- (+ 1/2 (+ (* -1/2 (/ (fabs x) s)) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1/2 (/ (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1/4 (/ (fabs x) s)) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (/ (- (+ 1/2 (+ (* -1/2 (/ (fabs x) s)) (+ (* -1/12 (/ (pow (fabs x) 3) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1/2 (/ (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1/2 (/ (* (fabs x) (- (* 1/4 (pow (fabs x) 2)) (+ (* -1/2 (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x))))) (* 1/8 (pow (fabs x) 2))))) (pow s 3))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/8 (/ (pow (fabs x) 2) (pow s 2))) (* 1/4 (/ (* (pow (fabs x) 2) (- (* -1/2 (fabs x)) (* -1/4 (fabs x)))) (pow s 3))))))))) s)))
#s(approx (- (* (/ (fabs x) s) -1/4) -1/2) #s(hole binary32 1/2))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (* -1 (/ (- (* -1/8 (/ (pow (fabs x) 2) (pow s 2))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/8 (/ (pow (fabs x) 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/96 (pow (fabs x) 4)) (+ (* -1/4 (* (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))))))) (+ (* 1/16 (+ (* -1/3 (pow (fabs x) 4)) (+ (* -1/4 (pow (fabs x) 4)) (* -1/6 (pow (fabs x) 4))))) (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))))))) s)) (* -1/24 (pow (fabs x) 3))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/8 (/ (pow (fabs x) 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) s))) s)) 4)))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (+ (* -1 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) s)) (* -1 (pow (fabs x) 2)))) s))) s)) 4)))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* -1 (* s (- (/ (fabs x) s) 2)))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))))
#s(approx (+ (* (exp (/ (neg (fabs x)) s)) s) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) #s(hole binary32 (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) 1/4) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1/2 (fabs x)) (* -1/4 (fabs x))) s)) 1/2) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (pow (fabs x) 2)) (+ (* -1/8 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x))))))) s)) (* -1/2 (fabs x))) (* -1/4 (fabs x))) s)) 1/2) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/12 (pow (fabs x) 3)) (+ (* -1/24 (pow (fabs x) 3)) (+ (* 1/4 (* (pow (fabs x) 2) (- (* -1/2 (fabs x)) (* -1/4 (fabs x))))) (* 1/2 (* (fabs x) (- (* -1/4 (pow (fabs x) 2)) (+ (* -1/8 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x)))))))))))) s)) (* -1/4 (pow (fabs x) 2))) (+ (* -1/8 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (- (* -1/2 (fabs x)) (* -1/4 (fabs x))))))) s)) (* -1/2 (fabs x))) (* -1/4 (fabs x))) s)) 1/2) s))))
#s(approx (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) #s(hole binary32 (* -1 (/ (- (* 1/4 (/ (fabs x) s)) 1/2) s))))
#s(approx (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))))
#s(approx (* (- (exp (/ (neg (fabs x)) s)) -1) (* s (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))))
Outputs
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32))))
(*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (neg.f32 (neg.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s))))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (neg.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s))
(+.f32 (/.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)) (/.f32 (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
(-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (neg.f32 (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s)))))
(-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (/.f32 (fabs.f32 x) s)))
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 (fabs.f32 x))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s))))
(fabs.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(fabs.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(*.f32 (neg.f32 (neg.f32 (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1 binary32))
(*.f32 (neg.f32 (fabs.f32 x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) s))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fabs.f32 x)))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 (fabs.f32 x))) (neg.f32 s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (/.f32 (fabs.f32 x) s))
(*.f32 (fabs.f32 x) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (fabs.f32 x))
(neg.f32 (fabs.f32 x))
(*.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)))
(sqrt.f32 (*.f32 x x))
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(fabs.f32 (neg.f32 (fabs.f32 x)))
(fabs.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)
(*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))
(*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(*.f32 s (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(-.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(literal 1 binary32)) (*.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(-.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(literal 1 binary32)) (neg.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))
(-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (neg.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))))
(-.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (*.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)))
(-.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (*.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
(-.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (neg.f32 (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))))
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(fma.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) s (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)))
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#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/4 binary32) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (fabs.f32 x)) (fabs.f32 x)) #s(literal -1/2 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s)) #s(literal 1/2 binary32)) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal -1/4 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 x x) (fabs.f32 x)) (*.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) (fabs.f32 x)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (fabs.f32 x)) (fma.f32 (*.f32 x x) #s(literal -1/4 binary32) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (fabs.f32 x)) (fabs.f32 x)) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (fabs.f32 x)) (*.f32 x x)) #s(literal 1/4 binary32)))) s)) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (fabs.f32 x)) (fabs.f32 x)) #s(literal 1/2 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s)) #s(literal 1/2 binary32)) s)))
#s(approx (/ (- (* (/ (fabs x) s) -1/4) -1/2) s) (/.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) s))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32)) s)))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal -4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal -3 binary32) (*.f32 #s(literal 5/3 binary32) (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) s))) s)) s)) #s(literal 4 binary32)) s)))

eval56.0ms (1.4%)

Memory
-9.6MiB live, 140.3MiB allocated; 16ms collecting garbage
Compiler

Compiled 8 206 to 2 766 computations (66.3% saved)

prune23.0ms (0.6%)

Memory
19.2MiB live, 65.7MiB allocated; 4ms collecting garbage
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New59811609
Fresh7714
Picked325
Done033
Total60823631
Accuracy
99.9%
Counts
631 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
99.6%
(/.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
✓99.7%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
94.8%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32))))
▶94.4%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s)))
▶99.6%
(*.f32 (/.f32 (pow.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))
✓99.7%
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
94.4%
(*.f32 (/.f32 (pow.f32 #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
52.4%
(*.f32 (/.f32 #s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32) #s(literal 1/4 binary32))) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
94.8%
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)))))
24.2%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
23.8%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
27.3%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
▶10.2%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
▶8.4%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 x s) (*.f32 x s))) (*.f32 x x))) s))
10.2%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) s) (*.f32 x (/.f32 #s(literal 1/16 binary32) s))) (*.f32 x s)) (*.f32 x x))) s))
10.3%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) x) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
✓10.3%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
10.3%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
▶9.3%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))) s))
✓27.4%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
24.1%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
19.0%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))))
Compiler

Compiled 1 260 to 952 computations (24.4% saved)

series108.0ms (2.7%)

Memory
-42.6MiB live, 203.5MiB allocated; 41ms collecting garbage
Counts
47 → 85
Calls
Call 1
Inputs
(*.f32 (/.f32 (pow.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))
(/.f32 (pow.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s)
(pow.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) #s(literal -2 binary32))
(-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (fabs.f32 x) s)
(fabs.f32 x)
x
s
#s(literal -2 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))) s))
(/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))) s)
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x)))
(*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
(*.f32 x x)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s))
(*.f32 #s(literal 4 binary32) s)
#s(literal 4 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
(/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x))) s)
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x)))
(*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x))
(fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))
(/.f32 #s(literal 1/4 binary32) x)
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
#s(literal -1/16 binary32)
(*.f32 s s)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 x s) (*.f32 x s))) (*.f32 x x))) s))
(/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 x s) (*.f32 x s))) (*.f32 x x))) s)
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 x s) (*.f32 x s))) (*.f32 x x)))
(*.f32 (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 x s) (*.f32 x s))) (*.f32 x x))
(/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 x s) (*.f32 x s)))
(fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)))
(*.f32 (*.f32 x x) #s(literal -1/16 binary32))
(*.f32 (*.f32 x s) (*.f32 x s))
(*.f32 x s)
Outputs
#s(approx (* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))
#s(approx (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) #s(hole binary32 (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))
#s(approx (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) #s(hole binary32 (/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ (fabs x) s))))))
#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 (exp (* -1 (/ (fabs x) s)))))
#s(approx (/ (fabs x) s) #s(hole binary32 (/ (fabs x) s)))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 1/4))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ 1/4 (pow x 2))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))))
#s(approx (/ (neg (fabs x)) s) #s(hole binary32 (* -1 (/ (fabs x) s))))
#s(approx (neg (fabs x)) #s(hole binary32 (* -1 (fabs x))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))))
#s(approx (/ 1/4 x) #s(hole binary32 (/ 1/4 x)))
#s(approx (/ 1 x) #s(hole binary32 (/ 1 x)))
#s(approx (+ (* (* s s) 1/4) (* (* x x) -1/16)) #s(hole binary32 (* 1/4 (pow s 2))))
#s(approx (+ (* (* s s) 1/4) (* (* x x) -1/16)) #s(hole binary32 (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2)))))
#s(approx (* (* x x) -1/16) #s(hole binary32 (* -1/16 (pow x 2))))
#s(approx (* (* x s) (* x s)) #s(hole binary32 (* (pow s 2) (pow x 2))))
#s(approx (* x s) #s(hole binary32 (* s x)))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2)))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ -1/16 (pow s 2))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))))
#s(approx (+ (* (* s s) 1/4) (* (* x x) -1/16)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/16))))
#s(approx s #s(hole binary32 s))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 3))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 3))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 2))))
#s(approx (* (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (* x x)) #s(hole binary32 (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/16) (pow s 2))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
#s(approx (* 4 s) #s(hole binary32 (* 4 s)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)))
#s(approx (* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
#s(approx (* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)))
#s(approx (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) #s(hole binary32 (/ (+ 1/4 (* 1/4 (/ (fabs x) s))) s)))
#s(approx (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s))) s)))
#s(approx (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
#s(approx (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) #s(hole binary32 (+ 1/4 (* 1/4 (/ (fabs x) s)))))
#s(approx (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) #s(hole binary32 (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s)))))
#s(approx (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) #s(hole binary32 (- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))))))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) #s(hole binary32 2))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s)))))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s)))))
#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))) s)))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s))))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))))
#s(approx (+ (* (* s s) 1/4) (* (* x x) -1/16)) #s(hole binary32 (* (pow s 2) (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))))))
#s(approx (* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))))
#s(approx (* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))))
#s(approx (* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))))
#s(approx (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) #s(hole binary32 (* -1 (/ (- (* -1/4 (/ (fabs x) s)) 1/4) s))))
#s(approx (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 1/4 (fabs x))) s)) 1/4) s))))
#s(approx (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (+ (* -1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))))) s)) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)) 1/4) s))))
#s(approx (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) #s(hole binary32 (+ 1/4 (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs x) 2) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s))) (* 1/4 (fabs x))) s)))))
#s(approx (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) #s(hole binary32 (+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (+ (* -1/16 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)))))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) 1/4) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (* -1 (/ (- (* -1/8 (/ (pow (fabs x) 2) (pow s 2))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/8 (/ (pow (fabs x) 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/96 (pow (fabs x) 4)) (+ (* -1/4 (* (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))))))) (+ (* 1/16 (+ (* -1/3 (pow (fabs x) 4)) (+ (* -1/4 (pow (fabs x) 4)) (* -1/6 (pow (fabs x) 4))))) (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))))))) s)) (* -1/24 (pow (fabs x) 3))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/8 (/ (pow (fabs x) 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) s))) s)) 4)))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (+ (* -1 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) s)) (* -1 (pow (fabs x) 2)))) s))) s)) 4)))))
Calls

6 calls:

TimeVariablePointExpression
51.0ms
x
@0
((* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) (- (pow (exp -1) (/ (fabs x) s)) -1) (pow (exp -1) (/ (fabs x) s)) (exp -1) -1 (/ (fabs x) s) (fabs x) x s -2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (* x x)) (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/ 1/4 (* x x)) 1/4 (* x x) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (+ (* (/ 1/4 x) (/ 1 x)) (/ -1/16 (* s s))) (* x x)) (+ (* (/ 1/4 x) (/ 1 x)) (/ -1/16 (* s s))) (/ 1/4 x) (/ 1 x) 1 (/ -1/16 (* s s)) -1/16 (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (/ (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x s) (* x s))) (* x x)) (/ (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x s) (* x s))) (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x x) -1/16) (* (* x s) (* x s)) (* x s))
17.0ms
x
@-inf
((* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) (- (pow (exp -1) (/ (fabs x) s)) -1) (pow (exp -1) (/ (fabs x) s)) (exp -1) -1 (/ (fabs x) s) (fabs x) x s -2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (* x x)) (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/ 1/4 (* x x)) 1/4 (* x x) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (+ (* (/ 1/4 x) (/ 1 x)) (/ -1/16 (* s s))) (* x x)) (+ (* (/ 1/4 x) (/ 1 x)) (/ -1/16 (* s s))) (/ 1/4 x) (/ 1 x) 1 (/ -1/16 (* s s)) -1/16 (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (/ (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x s) (* x s))) (* x x)) (/ (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x s) (* x s))) (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x x) -1/16) (* (* x s) (* x s)) (* x s))
16.0ms
x
@inf
((* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) (- (pow (exp -1) (/ (fabs x) s)) -1) (pow (exp -1) (/ (fabs x) s)) (exp -1) -1 (/ (fabs x) s) (fabs x) x s -2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (* x x)) (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/ 1/4 (* x x)) 1/4 (* x x) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (+ (* (/ 1/4 x) (/ 1 x)) (/ -1/16 (* s s))) (* x x)) (+ (* (/ 1/4 x) (/ 1 x)) (/ -1/16 (* s s))) (/ 1/4 x) (/ 1 x) 1 (/ -1/16 (* s s)) -1/16 (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (/ (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x s) (* x s))) (* x x)) (/ (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x s) (* x s))) (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x x) -1/16) (* (* x s) (* x s)) (* x s))
6.0ms
s
@0
((* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) (- (pow (exp -1) (/ (fabs x) s)) -1) (pow (exp -1) (/ (fabs x) s)) (exp -1) -1 (/ (fabs x) s) (fabs x) x s -2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (* x x)) (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/ 1/4 (* x x)) 1/4 (* x x) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (+ (* (/ 1/4 x) (/ 1 x)) (/ -1/16 (* s s))) (* x x)) (+ (* (/ 1/4 x) (/ 1 x)) (/ -1/16 (* s s))) (/ 1/4 x) (/ 1 x) 1 (/ -1/16 (* s s)) -1/16 (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (/ (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x s) (* x s))) (* x x)) (/ (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x s) (* x s))) (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x x) -1/16) (* (* x s) (* x s)) (* x s))
5.0ms
s
@inf
((* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) (- (pow (exp -1) (/ (fabs x) s)) -1) (pow (exp -1) (/ (fabs x) s)) (exp -1) -1 (/ (fabs x) s) (fabs x) x s -2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (* x x)) (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/ 1/4 (* x x)) 1/4 (* x x) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (+ (* (/ 1/4 x) (/ 1 x)) (/ -1/16 (* s s))) (* x x)) (+ (* (/ 1/4 x) (/ 1 x)) (/ -1/16 (* s s))) (/ 1/4 x) (/ 1 x) 1 (/ -1/16 (* s s)) -1/16 (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (* (/ (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x s) (* x s))) (* x x)) (/ (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x s) (* x s))) (+ (* (* s s) 1/4) (* (* x x) -1/16)) (* (* x x) -1/16) (* (* x s) (* x s)) (* x s))

rewrite193.0ms (4.9%)

Memory
19.6MiB live, 253.0MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05524426
05993436
124533362
082783222
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
132 → 751
Calls
Call 1
Inputs
(*.f32 (/.f32 (pow.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))
(/.f32 (pow.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s)
(pow.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) #s(literal -2 binary32))
(-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (fabs.f32 x) s)
(fabs.f32 x)
x
s
#s(literal -2 binary32)
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#s(literal -1/16 binary32)
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(*.f32 (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 x s) (*.f32 x s))) (*.f32 x x))
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#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 (exp (* -1 (/ (fabs x) s)))))
#s(approx (/ (fabs x) s) #s(hole binary32 (/ (fabs x) s)))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
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#s(approx (* x x) #s(hole binary32 (pow x 2)))
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#s(approx (/ 1/4 x) #s(hole binary32 (/ 1/4 x)))
#s(approx (/ 1 x) #s(hole binary32 (/ 1 x)))
#s(approx (+ (* (* s s) 1/4) (* (* x x) -1/16)) #s(hole binary32 (* 1/4 (pow s 2))))
#s(approx (+ (* (* s s) 1/4) (* (* x x) -1/16)) #s(hole binary32 (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2)))))
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#s(approx (* x s) #s(hole binary32 (* s x)))
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#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2)))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ -1/16 (pow s 2))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))))
#s(approx (+ (* (* s s) 1/4) (* (* x x) -1/16)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/16))))
#s(approx s #s(hole binary32 s))
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#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 3))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 2))))
#s(approx (* (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (* x x)) #s(hole binary32 (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) #s(hole binary32 (/ (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/16) (pow s 2))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
#s(approx (* 4 s) #s(hole binary32 (* 4 s)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)))
#s(approx (* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
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#s(approx (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) #s(hole binary32 (/ (+ 1/4 (* 1/4 (/ (fabs x) s))) s)))
#s(approx (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s))) s)))
#s(approx (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
#s(approx (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) #s(hole binary32 (+ 1/4 (* 1/4 (/ (fabs x) s)))))
#s(approx (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) #s(hole binary32 (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s)))))
#s(approx (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) #s(hole binary32 (- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))))))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) #s(hole binary32 2))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s)))))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s)))))
#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (/ (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))) s)))
#s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) #s(hole binary32 (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s))))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))))
#s(approx (+ (* (* s s) 1/4) (* (* x x) -1/16)) #s(hole binary32 (* (pow s 2) (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))))))
#s(approx (* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))))
#s(approx (* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))))
#s(approx (* (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) (pow (exp -1) (/ (fabs x) s))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))))
#s(approx (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) #s(hole binary32 (* -1 (/ (- (* -1/4 (/ (fabs x) s)) 1/4) s))))
#s(approx (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 1/4 (fabs x))) s)) 1/4) s))))
#s(approx (/ (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (+ (* -1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))))) s)) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)) 1/4) s))))
#s(approx (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) #s(hole binary32 (+ 1/4 (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs x) 2) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s))) (* 1/4 (fabs x))) s)))))
#s(approx (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) #s(hole binary32 (+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (+ (* -1/16 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)))))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))))
#s(approx (pow (exp -1) (/ (fabs x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) 1/4) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (* -1 (/ (- (* -1/8 (/ (pow (fabs x) 2) (pow s 2))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/8 (/ (pow (fabs x) 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/96 (pow (fabs x) 4)) (+ (* -1/4 (* (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))))))) (+ (* 1/16 (+ (* -1/3 (pow (fabs x) 4)) (+ (* -1/4 (pow (fabs x) 4)) (* -1/6 (pow (fabs x) 4))))) (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))))))) s)) (* -1/24 (pow (fabs x) 3))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/8 (/ (pow (fabs x) 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) s))) s)) 4)))))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (+ (* -1 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) s)) (* -1 (pow (fabs x) 2)))) s))) s)) 4)))))
Outputs
(*.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)))
(*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s))))
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s))
(/.f32 (neg.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (neg.f32 (neg.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s))))
(/.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (neg.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s))
(+.f32 (/.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)) (/.f32 (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)))
(neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (neg.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s))))
(neg.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
(*.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32))) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (neg.f32 (neg.f32 s)))
(/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s)
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32))) (neg.f32 s)))
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#s(approx (pow (- (pow (exp -1) (/ (fabs x) s)) -1) -2) (-.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (fabs.f32 x) (/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (fabs.f32 x)) (*.f32 #s(literal 3 binary32) (*.f32 x x)) (*.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) (fabs.f32 x))) #s(literal 1/16 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32) (*.f32 (*.f32 x x) #s(literal -1/4 binary32))) (fabs.f32 x))) s) (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32) (*.f32 (*.f32 x x) #s(literal -1/4 binary32)))) s)) s) #s(literal -1/4 binary32)))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s)))
#s(approx (- (pow (exp -1) (/ (fabs x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) s) #s(literal -1/6 binary32))) s)) s)))
#s(approx (pow (exp -1) (/ (fabs x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s)))
#s(approx (pow (exp -1) (/ (fabs x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) s) #s(literal -1/6 binary32))) s)) s)))
#s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -3 binary32)) (*.f32 s s)) #s(literal 1/16 binary32) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (-.f32 (neg.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32))) (fabs.f32 x) (*.f32 (*.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) #s(literal -5/3 binary32)) #s(literal 1/16 binary32))) (*.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) #s(literal -1/24 binary32))) (*.f32 (*.f32 s s) s)) #s(literal 1/4 binary32))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32))) (*.f32 s s))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (-.f32 (neg.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32))) (fabs.f32 x) (*.f32 (*.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) #s(literal -5/3 binary32)) #s(literal 1/16 binary32))) (fma.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) #s(literal -1/24 binary32) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 x x) #s(literal -3 binary32))) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32))) (fma.f32 (fma.f32 #s(literal -1/3 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal -5/12 binary32))) #s(literal 1/16 binary32) (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32))) (fabs.f32 x) (*.f32 (*.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) #s(literal -5/3 binary32)) #s(literal 1/16 binary32)))) (fabs.f32 x)))) (*.f32 #s(literal -1/96 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)))) s))) (*.f32 (*.f32 s s) s)) #s(literal 1/4 binary32))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32))) (*.f32 s s))) s))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (neg.f32 (*.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32) #s(literal -4 binary32)) s)))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (neg.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -3 binary32)) s) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)) s)))
#s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (neg.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -2 binary32) (-.f32 (/.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) (fabs.f32 x))) s) (*.f32 x x))) s) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)) s)))

eval62.0ms (1.6%)

Memory
-2.9MiB live, 139.7MiB allocated; 17ms collecting garbage
Compiler

Compiled 8 231 to 3 609 computations (56.2% saved)

prune30.0ms (0.8%)

Memory
38.3MiB live, 84.8MiB allocated; 4ms collecting garbage
Pruning

28 alts after pruning (20 fresh and 8 done)

PrunedKeptTotal
New5999608
Fresh21113
Picked235
Done055
Total60328631
Accuracy
99.9%
Counts
631 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
99.6%
(/.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
✓99.7%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
94.8%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32))))
✓94.4%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s)))
99.6%
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))
✓99.7%
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
52.4%
(*.f32 (/.f32 #s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32) #s(literal 1/4 binary32))) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
94.8%
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)))))
94.4%
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s))))
24.2%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
36.9%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) s))
23.8%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
27.3%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
7.7%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (/.f32 (*.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 s x) x) s))) s))
7.7%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 s x) x)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 s x) x) s))) (*.f32 x x))) s))
✓10.2%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
10.2%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) x (*.f32 s (/.f32 #s(literal 1/4 binary32) x))) (*.f32 s x)) (*.f32 x x))) s))
10.3%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) x) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
✓10.3%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
10.3%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
9.4%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 (/.f32 #s(literal 1/4 binary32) x) x)) (*.f32 x x))) s))
✓9.3%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))) s))
9.4%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/4 binary32) x))) (*.f32 x x))) s))
✓27.4%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
24.1%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
36.9%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) (/.f32 #s(literal 1 binary32) s)))
19.0%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))))
Compiler

Compiled 1 632 to 981 computations (39.9% saved)

regimes67.0ms (1.7%)

Memory
-15.5MiB live, 131.7MiB allocated; 23ms collecting garbage
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 (/.f32 #s(literal 1/4 binary32) x) x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/4 binary32) x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) x) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) s (*.f32 s (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32)))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) x (*.f32 s (/.f32 #s(literal 1/4 binary32) x))) (*.f32 s x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) s) (*.f32 x (/.f32 #s(literal 1/16 binary32) s))) (*.f32 x s)) (*.f32 x x))) s))
(*.f32 (/.f32 #s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32) #s(literal 1/4 binary32))) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 x s) (*.f32 x s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (/.f32 (*.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 s x) x) s))) s))
(*.f32 (/.f32 (pow.f32 #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)) #s(literal -2 binary32)) s) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1/4 binary32)) s))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 s x) x)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 s x) x) s))) (*.f32 x x))) s))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)))
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
(pow.f32 (*.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) s) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))
(*.f32 (/.f32 (pow.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))))
Outputs
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
Calls

5 calls:

21.0ms
(neg.f32 (fabs.f32 x))
12.0ms
x
11.0ms
(fabs.f32 x)
11.0ms
s
8.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
99.7%1(fabs.f32 x)
99.7%1(neg.f32 (fabs.f32 x))
99.7%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
99.7%1x
99.7%1s
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes53.0ms (1.4%)

Memory
-14.4MiB live, 125.2MiB allocated; 7ms collecting garbage
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 (/.f32 #s(literal 1/4 binary32) x) x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/4 binary32) x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) x) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) s (*.f32 s (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32)))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) x (*.f32 s (/.f32 #s(literal 1/4 binary32) x))) (*.f32 s x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) s) (*.f32 x (/.f32 #s(literal 1/16 binary32) s))) (*.f32 x s)) (*.f32 x x))) s))
(*.f32 (/.f32 #s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32) #s(literal 1/4 binary32))) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 x s) (*.f32 x s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (/.f32 (*.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 s x) x) s))) s))
(*.f32 (/.f32 (pow.f32 #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)) #s(literal -2 binary32)) s) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1/4 binary32)) s))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 s x) x)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 s x) x) s))) (*.f32 x x))) s))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)))
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32))))
Calls

5 calls:

12.0ms
s
11.0ms
(fabs.f32 x)
10.0ms
x
10.0ms
(neg.f32 (fabs.f32 x))
8.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
99.7%1(fabs.f32 x)
99.7%1(neg.f32 (fabs.f32 x))
99.7%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
99.7%1x
99.7%1s
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes70.0ms (1.8%)

Memory
-15.5MiB live, 81.5MiB allocated; 6ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 (/.f32 #s(literal 1/4 binary32) x) x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/4 binary32) x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) x) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) s (*.f32 s (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32)))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) x (*.f32 s (/.f32 #s(literal 1/4 binary32) x))) (*.f32 s x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) s) (*.f32 x (/.f32 #s(literal 1/16 binary32) s))) (*.f32 x s)) (*.f32 x x))) s))
(*.f32 (/.f32 #s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32) #s(literal 1/4 binary32))) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 x s) (*.f32 x s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (/.f32 (*.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 s x) x) s))) s))
(*.f32 (/.f32 (pow.f32 #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)) #s(literal -2 binary32)) s) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1/4 binary32)) s))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 s x) x)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 s x) x) s))) (*.f32 x x))) s))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)))
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
Outputs
(*.f32 (/.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
Calls

5 calls:

21.0ms
x
9.0ms
s
9.0ms
(fabs.f32 x)
9.0ms
(neg.f32 (fabs.f32 x))
7.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
99.7%1(fabs.f32 x)
99.7%1(neg.f32 (fabs.f32 x))
99.7%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
99.7%1x
99.7%1s
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes51.0ms (1.3%)

Memory
14.6MiB live, 102.8MiB allocated; 7ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 (/.f32 #s(literal 1/4 binary32) x) x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/4 binary32) x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) x) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) s (*.f32 s (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32)))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) x (*.f32 s (/.f32 #s(literal 1/4 binary32) x))) (*.f32 s x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) s) (*.f32 x (/.f32 #s(literal 1/16 binary32) s))) (*.f32 x s)) (*.f32 x x))) s))
(*.f32 (/.f32 #s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32) #s(literal 1/4 binary32))) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 x s) (*.f32 x s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (/.f32 (*.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 s x) x) s))) s))
(*.f32 (/.f32 (pow.f32 #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)) #s(literal -2 binary32)) s) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1/4 binary32)) s))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 s x) x)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 s x) x) s))) (*.f32 x x))) s))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)))
Outputs
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(literal -2 binary32)))
Calls

5 calls:

11.0ms
(fabs.f32 x)
10.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
9.0ms
(neg.f32 (fabs.f32 x))
9.0ms
s
9.0ms
x
Results
AccuracySegmentsBranch
99.6%1(fabs.f32 x)
99.6%1(neg.f32 (fabs.f32 x))
99.6%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
99.6%1x
99.6%1s
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes47.0ms (1.2%)

Memory
18.6MiB live, 117.8MiB allocated; 5ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 (/.f32 #s(literal 1/4 binary32) x) x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/4 binary32) x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) x) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) s (*.f32 s (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32)))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) x (*.f32 s (/.f32 #s(literal 1/4 binary32) x))) (*.f32 s x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) s) (*.f32 x (/.f32 #s(literal 1/16 binary32) s))) (*.f32 x s)) (*.f32 x x))) s))
(*.f32 (/.f32 #s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32) #s(literal 1/4 binary32))) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 x s) (*.f32 x s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (/.f32 (*.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 s x) x) s))) s))
(*.f32 (/.f32 (pow.f32 #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)) #s(literal -2 binary32)) s) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1/4 binary32)) s))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 (*.f32 s s) (*.f32 (*.f32 s x) x)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 s x) x) s))) (*.f32 x x))) s))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32))))
Calls

5 calls:

11.0ms
x
11.0ms
(fabs.f32 x)
9.0ms
(neg.f32 (fabs.f32 x))
9.0ms
s
6.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
94.8%1(fabs.f32 x)
94.8%1(neg.f32 (fabs.f32 x))
94.8%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
94.8%1x
94.8%1s
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes42.0ms (1.1%)

Memory
14.5MiB live, 106.9MiB allocated; 6ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 (/.f32 #s(literal 1/4 binary32) x) x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/4 binary32) x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
(*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1)) (*.f32 #s(literal 4 binary32) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) x) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) s (*.f32 s (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32)))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) x (*.f32 s (/.f32 #s(literal 1/4 binary32) x))) (*.f32 s x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) x) s) (*.f32 x (/.f32 #s(literal 1/16 binary32) s))) (*.f32 x s)) (*.f32 x x))) s))
(*.f32 (/.f32 #s(approx (pow (- (exp (/ (neg (fabs x)) s)) -1) -2) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32) #s(literal 1/4 binary32))) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(approx (/ (exp (/ (neg (fabs x)) s)) (+ (* (exp (/ (neg (fabs x)) s)) s) s)) (/.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/4 binary32)) #s(literal -1/2 binary32)) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal -1 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 x s) (*.f32 x s))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (/.f32 (*.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 s x) x) s))) s))
(*.f32 (/.f32 (pow.f32 #s(approx (- (exp (/ (neg (fabs x)) s)) -1) #s(literal 2 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)) #s(literal -2 binary32)) s) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (sqrt.f32 (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/8 binary32))) (*.f32 s s)) #s(literal -1/4 binary32)) s))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
Calls

5 calls:

10.0ms
(neg.f32 (fabs.f32 x))
10.0ms
s
7.0ms
(fabs.f32 x)
7.0ms
x
5.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
94.4%1(fabs.f32 x)
94.4%1(neg.f32 (fabs.f32 x))
94.4%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
94.4%1x
94.4%1s
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes18.0ms (0.5%)

Memory
-3.0MiB live, 48.6MiB allocated; 4ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 (/.f32 #s(literal 1/4 binary32) x) x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/4 binary32) x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)))
Outputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
Calls

5 calls:

6.0ms
s
3.0ms
(fabs.f32 x)
3.0ms
x
3.0ms
(neg.f32 (fabs.f32 x))
2.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
53.1%2(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
53.0%2(neg.f32 (fabs.f32 x))
53.0%2(fabs.f32 x)
53.0%2x
36.9%1s
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes2.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 (/.f32 #s(literal 1/4 binary32) x) x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
Outputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
Calls

1 calls:

2.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
53.1%2(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes9.0ms (0.2%)

Memory
-22.0MiB live, 25.5MiB allocated; 1ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 (/.f32 #s(literal 1/4 binary32) x) x)) (*.f32 x x))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
Outputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg (fabs x)) s)) s) s) (- (exp (/ (neg (fabs x)) s)) -1))) (/.f32 #s(approx (- (/ (+ (* -3/16 (* x x)) (* (* x x) 1/8)) (* s s)) -1/4) (*.f32 (*.f32 #s(approx (- (/ 1/4 (* x x)) (/ 1/16 (* s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) x) x)) s))
Calls

4 calls:

2.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
2.0ms
(fabs.f32 x)
2.0ms
x
2.0ms
(neg.f32 (fabs.f32 x))
Results
AccuracySegmentsBranch
52.3%2(neg.f32 (fabs.f32 x))
52.3%2(fabs.f32 x)
52.3%2x
52.3%2(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes5.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
Outputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
Calls

5 calls:

1.0ms
(fabs.f32 x)
1.0ms
s
1.0ms
(neg.f32 (fabs.f32 x))
1.0ms
x
1.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
27.4%1s
27.4%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
27.4%1(neg.f32 (fabs.f32 x))
27.4%1(fabs.f32 x)
27.4%1x
Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.141303134806094e-8
0.30399543046951294
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.141303134806094e-8
0.30399543046951294
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.4453331299033607e-9
3.6372804768092237e-9
Compiler

Compiled 29 to 16 computations (44.8% saved)

derivations470.0ms (12%)

Memory
-5.7MiB live, 539.6MiB allocated; 96ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 221 to 89 computations (59.7% saved)

preprocess147.0ms (3.7%)

Memory
52.9MiB live, 177.9MiB allocated; 57ms collecting garbage
Remove

(abs x)

Compiler

Compiled 1 000 to 608 computations (39.2% saved)

end0.0ms (0%)

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

Profiling

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