Logistic distribution

Time bar (total: 2.7s)

start0.0ms (0%)

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

analyze75.0ms (2.8%)

Memory
-18.9MiB live, 46.4MiB allocated; 77ms collecting garbage
Algorithm
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)

sample807.0ms (30.1%)

Memory
45.2MiB live, 907.8MiB allocated; 212ms collecting garbage
Samples
565.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 330.0ms
ival-div!: 88.0ms (26.6% of total)
ival-exp: 69.0ms (20.9% of total)
ival-mult!: 63.0ms (19.1% of total)
ival-fabs: 57.0ms (17.3% of total)
ival-neg: 31.0ms (9.4% of total)
ival-add!: 20.0ms (6.1% of total)
adjust: 2.0ms (0.6% of total)
ival-<=: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
Bogosity

preprocess30.0ms (1.1%)

Memory
-56.0MiB live, 12.2MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037166
1153154
2659148
33384147
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.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 (0.8%)

Memory
29.1MiB live, 29.1MiB 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)
3.0ms
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)

rewrite185.0ms (6.9%)

Memory
12.8MiB live, 234.6MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02881957
03031585
118391515
097921468
Stop Event
iter-limit
node-limit
iter-limit
Counts
54 → 110
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 (neg.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s))) (neg.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (neg.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 (neg.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.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 (neg.f32 (/.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 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (*.f32 (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 (sinh.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (neg.f32 (sinh.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)))
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
(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))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (fabs.f32 x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1 binary32))
(*.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 #s(literal -1 binary32) (fabs.f32 x))
(*.f32 (fabs.f32 x) #s(literal -1 binary32))
(neg.f32 (fabs.f32 x))
(*.f32 (sqrt.f32 x) (sqrt.f32 x))
(sqrt.f32 (*.f32 x x))
(/.f32 #s(literal 1 binary32) (pow.f32 (fabs.f32 x) #s(literal -1 binary32)))
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32))
(pow.f32 (fabs.f32 x) #s(literal 1 binary32))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 1 binary32)))
x
s
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (-.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s))) (*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(fma.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(fma.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)))
(+.f32 (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)
(*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) s) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 #s(literal 1 binary32) s) (-.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (*.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))))
(/.f32 (+.f32 (pow.f32 (*.f32 s #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32))) (fma.f32 (*.f32 s #s(literal 1 binary32)) (*.f32 s #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (*.f32 s #s(literal 1 binary32)) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(fma.f32 #s(literal 1 binary32) s (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(fma.f32 s #s(literal 1 binary32) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(+.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(+.f32 (*.f32 s #s(literal 1 binary32)) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (fabs.f32 x) s))))))) (/.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) #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 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
#s(approx (exp (/ (neg (fabs x)) s)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
#s(approx (/ (neg (fabs x)) s) (neg.f32 (/.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)
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
#s(approx s s)
#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)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.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 (-.f32 (+.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) (*.f32 (*.f32 s s) s)) #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32)))) (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) #s(literal -5/3 binary32)) #s(literal 1/16 binary32) (*.f32 (neg.f32 (fabs.f32 x)) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))))) (*.f32 (*.f32 s s) s)) (*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 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 (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) (*.f32 (*.f32 s s) s)) #s(literal -1/24 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/96 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32)))) #s(literal 1/4 binary32)) (neg.f32 (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) #s(literal -1/24 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) #s(literal -5/3 binary32)) #s(literal 1/16 binary32) (*.f32 (neg.f32 (fabs.f32 x)) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))))))) (fabs.f32 x)) (*.f32 (*.f32 s s) (*.f32 s s))))) (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) #s(literal -5/3 binary32)) #s(literal 1/16 binary32) (*.f32 (neg.f32 (fabs.f32 x)) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))))) (*.f32 (*.f32 s s) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/12 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/16 binary32) (fma.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 (*.f32 s s) (*.f32 s s))))))) s))
#s(approx (exp (/ (neg (fabs x)) s)) #s(literal 1 binary32))
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) (*.f32 (*.f32 s s) s)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) 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 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) s))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) #s(literal -5/3 binary32)) (*.f32 (*.f32 s s) s)) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fabs.f32 x) s))) s))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) (*.f32 (*.f32 s s) s)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fabs.f32 x) s))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) (*.f32 (*.f32 s s) s)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.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))))) (neg.f32 (/.f32 (-.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) (*.f32 (*.f32 s s) s)) (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) (fabs.f32 x))) #s(literal 1/16 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (fabs.f32 x))) (*.f32 (*.f32 s s) s))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s) #s(literal 1/96 binary32) (neg.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) (fabs.f32 x))) (fma.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) (fabs.f32 x))) #s(literal 1/16 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (fabs.f32 x)))))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/12 binary32))) s) #s(literal 1/16 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) (fabs.f32 x))) (fma.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) (fabs.f32 x))) #s(literal 1/16 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (fabs.f32 x)))) (fabs.f32 x) (*.f32 #s(literal 1/4 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 #s(literal 3 binary32) (*.f32 x x))))) s))) (*.f32 (*.f32 s s) s))) (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) #s(literal 1/4 binary32)) s)))
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.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)) (fabs.f32 x)) s))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (*.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)))) (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 (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (neg.f32 (/.f32 (fma.f32 #s(literal 5/3 binary32) (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) s) (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)))) s))) s)) #s(literal 4 binary32)) s)))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)) s)))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 (fabs.f32 x))) s)) #s(literal 2 binary32)) s)))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.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)) (neg.f32 (fabs.f32 x))) s)) #s(literal 2 binary32)) s)))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.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)) (fabs.f32 x)) s))))

eval16.0ms (0.6%)

Memory
-12.8MiB live, 33.1MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 026 to 819 computations (72.9% saved)

prune6.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1877194
Fresh000
Picked101
Done000
Total1887195
Accuracy
99.7%
Counts
195 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.9%
(/.f32 (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (/.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%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s #s(literal 1 binary32) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
99.7%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
97.1%
(/.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)))))
96.9%
(/.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)))
21.4%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s))
25.4%
#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 328 to 240 computations (26.8% saved)

series36.0ms (1.4%)

Memory
18.4MiB live, 64.8MiB allocated; 2ms collecting garbage
Counts
39 → 107
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.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 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
#s(literal 1 binary32)
#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(literal 1/4 binary32) s))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
(/.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)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.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 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s))
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)
(+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))
(fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))))
(*.f32 x x)
#s(literal 1/8 binary32)
(*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))
#s(literal -1/16 binary32)
(*.f32 #s(literal 3 binary32) (*.f32 x x))
#s(literal 3 binary32)
(*.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)))))
(*.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)))
Outputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 1 (exp (neg (/ (fabs x) s))))))
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (exp (neg (/ (fabs x) s)))))
#s(approx (neg (/ (fabs x) s)) #s(hole binary32 (* -1 (/ (fabs x) s))))
#s(approx (/ (fabs x) s) #s(hole binary32 (/ (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 (* (* 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 (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 1/4))
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))))
#s(approx (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) #s(hole binary32 (* -1/16 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* -1/16 (* 3 (* x x))) #s(hole binary32 (* -3/16 (pow x 2))))
#s(approx (* 3 (* x x)) #s(hole binary32 (* 3 (pow x 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 (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))))
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2)))))
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s)))
#s(approx (* 4 s) #s(hole binary32 (* 4 s)))
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 3))))
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 3))))
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))))
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 2))))
#s(approx (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 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)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* 4 s)))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s))))))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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(hole binary32 4))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ (fabs x) s)))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 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(hole binary32 (+ 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))) 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 (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 (+ 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 (* (* 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 (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 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 (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #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)))) #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)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))))
#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(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 (+ 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))))
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#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 (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 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)))) #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
10.0ms
x
@inf
((/ (exp (/ (neg (fabs x)) s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) 1 2 (/ (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))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* x x) 1/8 (* -1/16 (* 3 (* x x))) -1/16 (* 3 (* x x)) 3 (* s s) (/ (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))))
5.0ms
x
@0
((/ (exp (/ (neg (fabs x)) s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) 1 2 (/ (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))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* x x) 1/8 (* -1/16 (* 3 (* x x))) -1/16 (* 3 (* x x)) 3 (* s s) (/ (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))))
5.0ms
s
@0
((/ (exp (/ (neg (fabs x)) s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) 1 2 (/ (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))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* x x) 1/8 (* -1/16 (* 3 (* x x))) -1/16 (* 3 (* x x)) 3 (* s s) (/ (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))))
5.0ms
x
@-inf
((/ (exp (/ (neg (fabs x)) s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) 1 2 (/ (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))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* x x) 1/8 (* -1/16 (* 3 (* x x))) -1/16 (* 3 (* x x)) 3 (* s s) (/ (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))))
4.0ms
s
@-inf
((/ (exp (/ (neg (fabs x)) s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) 1 2 (/ (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))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* x x) 1/8 (* -1/16 (* 3 (* x x))) -1/16 (* 3 (* x x)) 3 (* s s) (/ (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))))

rewrite161.0ms (6%)

Memory
-8.6MiB live, 236.8MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04554684
05013506
126093133
085443011
Stop Event
iter-limit
node-limit
iter-limit
Counts
146 → 384
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.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 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
#s(literal 1 binary32)
#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(literal 1/4 binary32) s))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
(/.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)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.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 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s))
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)
(+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))
(fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))))
(*.f32 x x)
#s(literal 1/8 binary32)
(*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))
#s(literal -1/16 binary32)
(*.f32 #s(literal 3 binary32) (*.f32 x x))
#s(literal 3 binary32)
(*.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)))))
(*.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(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 1 (exp (neg (/ (fabs x) s))))))
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (exp (neg (/ (fabs x) s)))))
#s(approx (neg (/ (fabs x) s)) #s(hole binary32 (* -1 (/ (fabs x) s))))
#s(approx (/ (fabs x) s) #s(hole binary32 (/ (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 (* (* 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 (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 1/4))
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))))
#s(approx (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) #s(hole binary32 (* -1/16 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* -1/16 (* 3 (* x x))) #s(hole binary32 (* -3/16 (pow x 2))))
#s(approx (* 3 (* x x)) #s(hole binary32 (* 3 (pow x 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 (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))))
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2)))))
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s)))
#s(approx (* 4 s) #s(hole binary32 (* 4 s)))
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 3))))
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 3))))
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))))
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 2))))
#s(approx (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 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)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* 4 s)))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s))))))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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(hole binary32 4))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ (fabs x) s)))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 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(hole binary32 (+ 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))) 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 (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 (+ 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 (* (* 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 (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 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 (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #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)))) #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)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))))
#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(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 (+ 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 (* (* 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 (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 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)))) #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 (neg.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s)) (neg.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (neg.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s))))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 s))
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
x
x
s
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))
(*.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(fma.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s) #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s) (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s)) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s)))
(+.f32 (*.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s) #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(*.f32 (fabs.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (fabs.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
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(pow.f32 (exp.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))
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(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
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(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
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(*.f32 (/.f32 x s) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 s))
(neg.f32 (/.f32 x s))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
#s(literal 1 binary32)
#s(literal 2 binary32)
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(/.f32 #s(literal -1/4 binary32) (neg.f32 s))
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(/.f32 #s(literal 1/4 binary32) s)
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#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))
(*.f32 #s(literal 4 binary32) s)
(*.f32 s #s(literal 4 binary32))
#s(literal 4 binary32)
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#s(approx (fabs x) x)
#s(approx (fabs x) x)
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#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) (/.f32 (neg.f32 x) s))))
#s(approx (exp (/ (neg (fabs x)) s)) #s(literal 1 binary32))
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) (/.f32 (neg.f32 x) s))))
#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)) (* (* 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)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32))) (fma.f32 #s(literal 1/16 binary32) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -5/3 binary32)) (*.f32 (*.f32 s s) s)) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) (neg.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/16 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 (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/24 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/96 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32)))) #s(literal 1/4 binary32)) (neg.f32 (*.f32 x (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/24 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -5/3 binary32)) #s(literal 1/16 binary32) (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))))) (*.f32 (*.f32 s s) (*.f32 s s)))))) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -5/3 binary32)) (*.f32 (*.f32 s s) s)) #s(literal 1/16 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/12 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/16 binary32) (fma.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 (*.f32 x x) #s(literal 3 binary32))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/4 binary32))))) (neg.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/16 binary32)))))) s))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (fma.f32 #s(literal -4 binary32) (/.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 (fma.f32 #s(literal -4 binary32) (/.f32 x s) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s 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) (fma.f32 #s(literal -4 binary32) (/.f32 x s) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -5/3 binary32)) (*.f32 (*.f32 s s) s)) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))))) s))
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) s))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) s))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) (/.f32 (neg.f32 x) s))) s))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) (/.f32 (neg.f32 x) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (*.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)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32)))) #s(literal 1/4 binary32)) (fma.f32 (/.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 s s) s)) #s(literal 1/16 binary32) (*.f32 x (*.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/16 binary32))))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s) #s(literal 1/96 binary32) (neg.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) x (*.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) x)) #s(literal 1/16 binary32)))))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/12 binary32))) s) #s(literal 1/16 binary32) (fma.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) x (*.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) x)) #s(literal 1/16 binary32)))) s) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s)) #s(literal 1/4 binary32))))) (*.f32 (*.f32 s s) s))) (neg.f32 (*.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)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 4 binary32)) #s(literal 4 binary32)) s)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32)) s)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (neg.f32 (/.f32 (fma.f32 #s(literal 5/3 binary32) (/.f32 (*.f32 (*.f32 x x) x) s) (neg.f32 (*.f32 (*.f32 x x) #s(literal 3 binary32)))) s))) s)) #s(literal 4 binary32)) s)))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 4 binary32) x (/.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 3 binary32))) s)) s)) #s(literal 4 binary32)))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+.f32 #s(literal 4 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 4 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) x) x (neg.f32 (*.f32 #s(literal 5/3 binary32) (/.f32 (*.f32 (*.f32 x x) x) s)))) s))) s))))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (*.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)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32)))) #s(literal 1/4 binary32)) (fma.f32 (/.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 s s) s)) #s(literal 1/16 binary32) (*.f32 x (*.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/16 binary32))))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s) #s(literal 1/96 binary32) (neg.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) x (*.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) x)) #s(literal 1/16 binary32)))))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/12 binary32))) s) #s(literal 1/16 binary32) (fma.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) x (*.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) x)) #s(literal 1/16 binary32)))) s) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s)) #s(literal 1/4 binary32))))) (*.f32 (*.f32 s s) s))) (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32)))) #s(literal 1/4 binary32)) s)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 4 binary32)) #s(literal 4 binary32)) s)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32)) s)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (neg.f32 (/.f32 (fma.f32 #s(literal 5/3 binary32) (/.f32 (*.f32 (*.f32 x x) x) s) (neg.f32 (*.f32 (*.f32 x x) #s(literal 3 binary32)))) s))) s)) #s(literal 4 binary32)) s)))
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (neg.f32 (/.f32 (-.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32))) #s(literal 1/4 binary32)) s)))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s)))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s)) #s(literal 2 binary32)) s)))
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal 1/6 binary32))) s)) (neg.f32 x)) s)) #s(literal 2 binary32)) s)))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))

eval33.0ms (1.2%)

Memory
-24.4MiB live, 67.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 5 432 to 1 844 computations (66.1% saved)

prune11.0ms (0.4%)

Memory
27.6MiB live, 27.6MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New4078415
Fresh202
Picked235
Done000
Total41111422
Accuracy
99.7%
Counts
422 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
22.9%
(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
97.1%
(/.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)))))
96.9%
(/.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)))
96.9%
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
99.7%
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
97.1%
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))))
99.7%
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
22.3%
#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 x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
19.8%
#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) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) s) (*.f32 s (*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32)))) (*.f32 s s)))
25.4%
#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 431 to 329 computations (23.7% saved)

series81.0ms (3%)

Memory
-10.7MiB live, 133.5MiB allocated; 10ms collecting garbage
Counts
49 → 215
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
#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 (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)
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.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 #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 (-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) s) (*.f32 s (*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32)))) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) s) (*.f32 s (*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32)))) (*.f32 s s))
(-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) s) (*.f32 s (*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32))))
(*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32))
#s(literal 1/8 binary32)
(*.f32 s (*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32)))
(*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32))
(*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
#s(literal 3 binary32)
#s(literal 1/16 binary32)
(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(cosh.f32 (/.f32 x s))
(sinh.f32 (/.f32 x s))
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(fabs.f32 x)
Outputs
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/11520 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* 4 s)))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* -4 x) (* 4 s))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* 4 s) (* x (- (* 3 (/ x s)) 4)))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* 4 s) (* x (- (* x (+ (* -5/3 (/ x (pow s 2))) (* 3 (/ 1 s)))) 4)))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 4))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ x s)))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* x (- (* 3 (/ x (pow s 2))) (* 4 (/ 1 s)))))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* x (- (* x (+ (* -5/3 (/ x (pow s 3))) (* 3 (/ 1 (pow s 2))))) (* 4 (/ 1 s)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 2))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 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 (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (+ (* -1 (/ x (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (+ (* x (- (* 1/2 (/ x (* (pow s 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (+ (* x (- (* x (+ (* -1/6 (/ x (* (pow s 4) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#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 (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* 1/4 s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) s)) (* 1/4 s))))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (* 1/4 s)))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (+ (* 1/8 (/ (pow x 2) s)) (* 1/4 s))))
#s(approx (+ (* (/ (* x x) (* s s)) 1/8) 1/4) #s(hole binary32 1/4))
#s(approx (+ (* (/ (* x x) (* s s)) 1/8) 1/4) #s(hole binary32 (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2))))))
#s(approx (* s (* (* 3 (/ (* x x) (* s s))) 1/16)) #s(hole binary32 (* 3/16 (/ (pow x 2) s))))
#s(approx (* (* 3 (/ (* x x) (* s s))) 1/16) #s(hole binary32 (* 3/16 (/ (pow x 2) (pow s 2)))))
#s(approx (* 3 (/ (* x x) (* s s))) #s(hole binary32 (* 3 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (+ (* -1 (/ x (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (+ (* x (- (* 1/2 (/ x (* (pow s 3) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (+ (* x (- (* x (+ (* -1/6 (/ x (* (pow s 4) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 1))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (cosh (/ x s)) #s(hole binary32 1))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* 1/2 (/ (pow x 2) (pow s 2))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ x s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* 1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* (pow x 2) (+ (* 1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 1 (exp (neg (/ (fabs x) s))))))
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (exp (neg (/ (fabs x) s)))))
#s(approx (neg (/ (fabs x) s)) #s(hole binary32 (* -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 (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (exp (* -1 (/ x s))) (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) 2)))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 1 (exp (* -1 (/ 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 (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ x s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s 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)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* -1/16 (/ (pow x 2) s))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ s (pow x 2))) (* 1/16 (/ 1 s))))))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (* 1/8 (/ (pow x 2) s))))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (* (pow x 2) (+ (* 1/4 (/ s (pow x 2))) (* 1/8 (/ 1 s))))))
#s(approx (+ (* (/ (* x x) (* s s)) 1/8) 1/4) #s(hole binary32 (* 1/8 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (* x x) (* s s)) 1/8) 1/4) #s(hole binary32 (* (pow x 2) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ (- (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (- (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
#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 (* 4 s) #s(hole binary32 (* 4 s)))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ (- (* 1/8 (pow x 2)) (* 3/16 (pow x 2))) (pow s 3))))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ (- (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2))) (* 3/16 (pow x 2))) (pow s 3))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (/ (- (* 1/8 (pow x 2)) (* 3/16 (pow x 2))) s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (/ (- (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2))) (* 3/16 (pow x 2))) s)))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (/ (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2))) s)))
#s(approx (+ (* (/ (* x x) (* s s)) 1/8) 1/4) #s(hole binary32 (/ (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))) s)))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))) s)))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (+ (* 1/96 (/ (pow x 4) (pow s 4))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/24 (pow x 3)) (+ (* -1 (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))))))) (pow s 4))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 4))))))))) s)))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (* -4 (/ x s))))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow 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 (/ 1/4 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 (/ (+ (* (/ (* 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 (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (* -1/4 (/ x s))) (* -1/4 (/ (fabs x) s))) s)))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* -1/4 x) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1/4 (/ (fabs x) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ x s)) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/4 x) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow x 2)) (+ (* -1 (* (fabs x) (- (* -1/4 x) (* -1/4 (fabs x))))) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 3))) (+ (* -1/4 (/ (fabs x) s)) (+ (* 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))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* -1/4 x) (* -1/4 (fabs x)))) (pow s 3))))))))) s)))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (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 (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 3/16 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* s (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 3/16 (/ (pow x 2) (pow s 2)))))))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (* s (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (* -1/8 (/ (- x (* -1 x)) s))) (* -1/4 (/ (fabs x) s))) s)))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/8 (/ (- x (* -1 x)) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* -1/8 (- x (* -1 x))) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1/4 (/ (fabs x) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/8 (/ (- x (* -1 x)) s)) (+ (* 1/4 (/ (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (pow s 3))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/8 (- x (* -1 x))) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1 (/ (* (fabs x) (- (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* -1 (* (fabs x) (- (* -1/8 (- x (* -1 x))) (* -1/4 (fabs x))))) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 3))) (+ (* -1/4 (/ (fabs x) s)) (+ (* 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))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* -1/8 (- x (* -1 x))) (* -1/4 (fabs x)))) (pow s 3))))))))) s)))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1/2 (/ (- x (* -1 x)) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2)))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (- (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* 1/2 (/ (- x (* -1 x)) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s)))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* 4 s)))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s))))))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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(hole binary32 4))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ (fabs x) s)))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 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(hole binary32 (+ 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))) 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 (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 x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) 1/4) s))))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) (* 1/24 (/ (pow x 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) (pow s 3))) (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))))) s))))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow x 3)) (+ (* 1/16 (+ (* 2/3 (pow x 3)) (pow x 3))) (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))))) (* 1/96 (/ (pow x 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) s)) (/ (* x (- (* 1/24 (pow x 3)) (+ (* 1/16 (+ (* 2/3 (pow x 3)) (pow x 3))) (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))))) s)))) (pow s 3)))) 1/4) s))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* 4 (/ x s)) 4)))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 x) (+ (* 2 (/ (pow x 2) s)) (/ (pow x 2) s))) s)) 4)))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -1 (+ (* 2 (pow x 2)) (pow x 2))) (+ (* 2/3 (/ (pow x 3) s)) (/ (pow x 3) s))) s))) s)) 4)))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (* 4 x)) s)))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 2 (pow x 2)) (pow x 2))) s)) (* 4 x)) s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow 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 (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* 1/4 (/ x s)) (+ 1/4 (* 1/4 (/ (fabs x) s)))) s))))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/4 x) (* 1/4 (fabs x)))) (* 1/8 (/ (pow x 2) s))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (/ (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x)))) s))) s)) 1/4) s))))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (- (* 1/4 x) (* 1/4 (fabs x)))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x))))))) (* 1/24 (/ (pow x 3) s))) (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/4 x) (* 1/4 (fabs x)))) s)) (/ (* (fabs x) (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x))))))) s)))) s))) s)) 1/4) s))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow 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 (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (* -1 (/ (- (* -1/8 (/ (pow x 2) (pow s 2))) (+ 1/4 (* -3/16 (/ (pow x 2) (pow s 2))))) s))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* -1 (* s (- (* -1/8 (/ (pow x 2) (pow s 2))) (+ 1/4 (* -3/16 (/ (pow x 2) (pow s 2)))))))))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (* -1 (* s (- (* -1/8 (/ (pow x 2) (pow s 2))) 1/4)))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (* -1/8 (/ (- (* -1 x) x) s)) (+ 1/4 (* 1/4 (/ (fabs x) s)))) s))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (/ (* (fabs x) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) s))) s)) 1/4) s))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x))))))) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s))) (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) s)) (/ (* (fabs x) (- (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x))))))) s)))) s))) s)) 1/4) s))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* 1/2 (/ (- (* -1 x) x) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1/2 (/ (- (* -1 x) x) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))))
#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(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)))))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
x
@0
((/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) 1 2 (/ (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 (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (+ (* (/ (* x x) (* s s)) 1/8) 1/4) 1/8 (* s (* (* 3 (/ (* x x) (* s s))) 1/16)) (* (* 3 (/ (* x x) (* s s))) 1/16) (* 3 (/ (* x x) (* s s))) 3 1/16 (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (- (cosh (/ x s)) (sinh (/ x s))) (cosh (/ x s)) (sinh (/ x s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x))
13.0ms
s
@inf
((/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) 1 2 (/ (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 (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (+ (* (/ (* x x) (* s s)) 1/8) 1/4) 1/8 (* s (* (* 3 (/ (* x x) (* s s))) 1/16)) (* (* 3 (/ (* x x) (* s s))) 1/16) (* 3 (/ (* x x) (* s s))) 3 1/16 (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (- (cosh (/ x s)) (sinh (/ x s))) (cosh (/ x s)) (sinh (/ x s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x))
13.0ms
s
@-inf
((/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) 1 2 (/ (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 (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (+ (* (/ (* x x) (* s s)) 1/8) 1/4) 1/8 (* s (* (* 3 (/ (* x x) (* s s))) 1/16)) (* (* 3 (/ (* x x) (* s s))) 1/16) (* 3 (/ (* x x) (* s s))) 3 1/16 (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (- (cosh (/ x s)) (sinh (/ x s))) (cosh (/ x s)) (sinh (/ x s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x))
12.0ms
x
@-inf
((/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) 1 2 (/ (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 (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (+ (* (/ (* x x) (* s s)) 1/8) 1/4) 1/8 (* s (* (* 3 (/ (* x x) (* s s))) 1/16)) (* (* 3 (/ (* x x) (* s s))) 1/16) (* 3 (/ (* x x) (* s s))) 3 1/16 (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (- (cosh (/ x s)) (sinh (/ x s))) (cosh (/ x s)) (sinh (/ x s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x))
10.0ms
x
@inf
((/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) 1 2 (/ (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 (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (+ (* (/ (* x x) (* s s)) 1/8) 1/4) 1/8 (* s (* (* 3 (/ (* x x) (* s s))) 1/16)) (* (* 3 (/ (* x x) (* s s))) 1/16) (* 3 (/ (* x x) (* s s))) 3 1/16 (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (- (cosh (/ x s)) (sinh (/ x s))) (cosh (/ x s)) (sinh (/ x s)) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x))

rewrite168.0ms (6.3%)

Memory
38.2MiB live, 199.9MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012419957
013048313
084488054
Stop Event
iter-limit
node-limit
iter-limit
Counts
264 → 422
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
#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 (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)
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.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 #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 (-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) s) (*.f32 s (*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32)))) (*.f32 s s)))
(/.f32 (-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) s) (*.f32 s (*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32)))) (*.f32 s s))
(-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) s) (*.f32 s (*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32))))
(*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32))
#s(literal 1/8 binary32)
(*.f32 s (*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32)))
(*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32))
(*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
#s(literal 3 binary32)
#s(literal 1/16 binary32)
(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(cosh.f32 (/.f32 x s))
(sinh.f32 (/.f32 x s))
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(fabs.f32 x)
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/11520 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* 4 s)))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* -4 x) (* 4 s))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* 4 s) (* x (- (* 3 (/ x s)) 4)))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* 4 s) (* x (- (* x (+ (* -5/3 (/ x (pow s 2))) (* 3 (/ 1 s)))) 4)))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 4))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ x s)))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* x (- (* 3 (/ x (pow s 2))) (* 4 (/ 1 s)))))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* x (- (* x (+ (* -5/3 (/ x (pow s 3))) (* 3 (/ 1 (pow s 2))))) (* 4 (/ 1 s)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 2))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 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 (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (+ (* -1 (/ x (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (+ (* x (- (* 1/2 (/ x (* (pow s 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (+ (* x (- (* x (+ (* -1/6 (/ x (* (pow s 4) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#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 (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* 1/4 s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) s)) (* 1/4 s))))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (* 1/4 s)))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (+ (* 1/8 (/ (pow x 2) s)) (* 1/4 s))))
#s(approx (+ (* (/ (* x x) (* s s)) 1/8) 1/4) #s(hole binary32 1/4))
#s(approx (+ (* (/ (* x x) (* s s)) 1/8) 1/4) #s(hole binary32 (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2))))))
#s(approx (* s (* (* 3 (/ (* x x) (* s s))) 1/16)) #s(hole binary32 (* 3/16 (/ (pow x 2) s))))
#s(approx (* (* 3 (/ (* x x) (* s s))) 1/16) #s(hole binary32 (* 3/16 (/ (pow x 2) (pow s 2)))))
#s(approx (* 3 (/ (* x x) (* s s))) #s(hole binary32 (* 3 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (+ (* -1 (/ x (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (+ (* x (- (* 1/2 (/ x (* (pow s 3) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (+ (* x (- (* x (+ (* -1/6 (/ x (* (pow s 4) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 1))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (cosh (/ x s)) #s(hole binary32 1))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* 1/2 (/ (pow x 2) (pow s 2))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ x s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* 1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* (pow x 2) (+ (* 1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 1 (exp (neg (/ (fabs x) s))))))
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (exp (neg (/ (fabs x) s)))))
#s(approx (neg (/ (fabs x) s)) #s(hole binary32 (* -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 (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (exp (* -1 (/ x s))) (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) 2)))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 1 (exp (* -1 (/ 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 (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ x s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s 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)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* -1/16 (/ (pow x 2) s))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ s (pow x 2))) (* 1/16 (/ 1 s))))))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (* 1/8 (/ (pow x 2) s))))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (* (pow x 2) (+ (* 1/4 (/ s (pow x 2))) (* 1/8 (/ 1 s))))))
#s(approx (+ (* (/ (* x x) (* s s)) 1/8) 1/4) #s(hole binary32 (* 1/8 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (* x x) (* s s)) 1/8) 1/4) #s(hole binary32 (* (pow x 2) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ (- (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (- (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
#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 (* 4 s) #s(hole binary32 (* 4 s)))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ (- (* 1/8 (pow x 2)) (* 3/16 (pow x 2))) (pow s 3))))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ (- (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2))) (* 3/16 (pow x 2))) (pow s 3))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (/ (- (* 1/8 (pow x 2)) (* 3/16 (pow x 2))) s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (/ (- (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2))) (* 3/16 (pow x 2))) s)))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (/ (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2))) s)))
#s(approx (+ (* (/ (* x x) (* s s)) 1/8) 1/4) #s(hole binary32 (/ (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))) s)))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))) s)))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (+ (* 1/96 (/ (pow x 4) (pow s 4))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/24 (pow x 3)) (+ (* -1 (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))))))) (pow s 4))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 4))))))))) s)))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (* -4 (/ x s))))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow 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 (/ 1/4 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 (/ (+ (* (/ (* 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 (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (* -1/4 (/ x s))) (* -1/4 (/ (fabs x) s))) s)))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* -1/4 x) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1/4 (/ (fabs x) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ x s)) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/4 x) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow x 2)) (+ (* -1 (* (fabs x) (- (* -1/4 x) (* -1/4 (fabs x))))) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 3))) (+ (* -1/4 (/ (fabs x) s)) (+ (* 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))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* -1/4 x) (* -1/4 (fabs x)))) (pow s 3))))))))) s)))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (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 (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 3/16 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* s (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 3/16 (/ (pow x 2) (pow s 2)))))))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (* s (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (* -1/8 (/ (- x (* -1 x)) s))) (* -1/4 (/ (fabs x) s))) s)))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/8 (/ (- x (* -1 x)) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* -1/8 (- x (* -1 x))) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1/4 (/ (fabs x) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/8 (/ (- x (* -1 x)) s)) (+ (* 1/4 (/ (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (pow s 3))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/8 (- x (* -1 x))) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1 (/ (* (fabs x) (- (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* -1 (* (fabs x) (- (* -1/8 (- x (* -1 x))) (* -1/4 (fabs x))))) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 3))) (+ (* -1/4 (/ (fabs x) s)) (+ (* 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))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* -1/8 (- x (* -1 x))) (* -1/4 (fabs x)))) (pow s 3))))))))) s)))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1/2 (/ (- x (* -1 x)) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2)))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (- (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* 1/2 (/ (- x (* -1 x)) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s)))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* 4 s)))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s))))))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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(hole binary32 4))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ (fabs x) s)))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 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(hole binary32 (+ 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))) 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 (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 x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) 1/4) s))))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) (* 1/24 (/ (pow x 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) (pow s 3))) (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))))) s))))
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow x 3)) (+ (* 1/16 (+ (* 2/3 (pow x 3)) (pow x 3))) (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))))) (* 1/96 (/ (pow x 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) s)) (/ (* x (- (* 1/24 (pow x 3)) (+ (* 1/16 (+ (* 2/3 (pow x 3)) (pow x 3))) (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))))) s)))) (pow s 3)))) 1/4) s))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* 4 (/ x s)) 4)))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 x) (+ (* 2 (/ (pow x 2) s)) (/ (pow x 2) s))) s)) 4)))))
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -1 (+ (* 2 (pow x 2)) (pow x 2))) (+ (* 2/3 (/ (pow x 3) s)) (/ (pow x 3) s))) s))) s)) 4)))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (* 4 x)) s)))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 2 (pow x 2)) (pow x 2))) s)) (* 4 x)) s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow 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 (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* 1/4 (/ x s)) (+ 1/4 (* 1/4 (/ (fabs x) s)))) s))))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/4 x) (* 1/4 (fabs x)))) (* 1/8 (/ (pow x 2) s))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (/ (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x)))) s))) s)) 1/4) s))))
#s(approx (/ (pow (exp -1) (/ x s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (- (* 1/4 x) (* 1/4 (fabs x)))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x))))))) (* 1/24 (/ (pow x 3) s))) (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/4 x) (* 1/4 (fabs x)))) s)) (/ (* (fabs x) (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x))))))) s)))) s))) s)) 1/4) s))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow 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 (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (* -1 (/ (- (* -1/8 (/ (pow x 2) (pow s 2))) (+ 1/4 (* -3/16 (/ (pow x 2) (pow s 2))))) s))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* -1 (* s (- (* -1/8 (/ (pow x 2) (pow s 2))) (+ 1/4 (* -3/16 (/ (pow x 2) (pow s 2)))))))))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) #s(hole binary32 (* -1 (* s (- (* -1/8 (/ (pow x 2) (pow s 2))) 1/4)))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (* -1/8 (/ (- (* -1 x) x) s)) (+ 1/4 (* 1/4 (/ (fabs x) s)))) s))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (/ (* (fabs x) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) s))) s)) 1/4) s))))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x))))))) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s))) (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) s)) (/ (* (fabs x) (- (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x))))))) s)))) s))) s)) 1/4) s))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* 1/2 (/ (- (* -1 x) x) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1/2 (/ (- (* -1 x) x) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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 (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) 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(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))))
#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(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)))))
Outputs
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) s)
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))) (exp.f32 (/.f32 x s)))
(/.f32 (-.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (fma.f32 (sinh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) s)
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
x
s
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(literal 1 binary32)
#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 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
(/.f32 (neg.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32))) (neg.f32 s))
(/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) s))
(+.f32 (/.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) s) (/.f32 #s(literal 1/4 binary32) s))
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) s))
(/.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)))) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32))) #s(literal 1/16 binary32)) (-.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) #s(literal 1/4 binary32)))
(/.f32 (+.f32 #s(literal 1/64 binary32) (pow.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1/16 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32))) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) #s(literal 3 binary32)) #s(literal 1/64 binary32)) (fma.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) (-.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) #s(literal 1/4 binary32)))))
(-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/16 binary32)))
(fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32))
(fma.f32 #s(literal -1/16 binary32) (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/4 binary32))
(+.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)) #s(literal 1/4 binary32))
(+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)))
(*.f32 (/.f32 x s) (/.f32 x s))
(*.f32 x (/.f32 x (*.f32 s s)))
(/.f32 (neg.f32 (*.f32 x x)) (neg.f32 (*.f32 s s)))
(/.f32 (/.f32 (*.f32 x x) s) s)
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#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/16) 1/4) s) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/16 binary32)) #s(literal 1/4 binary32)) s)))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32) #s(literal 1/4 binary32))) s)))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/8 binary32) (neg.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 x (fabs.f32 x))))) (fma.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s)) #s(literal 1/16 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 x (fabs.f32 x))) (fabs.f32 x)) s))) s)) #s(literal 1/4 binary32)) s)))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal 1/24 binary32) (neg.f32 (-.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 x (fabs.f32 x))) (fabs.f32 x))))) (fma.f32 (*.f32 #s(literal 5/3 binary32) (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) s)) #s(literal 1/16 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 x (fabs.f32 x))) (*.f32 #s(literal 3 binary32) (*.f32 x x))) s) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 x (fabs.f32 x))) (fabs.f32 x))) (fabs.f32 x)) s)))) s)) (neg.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 x (fabs.f32 x))))) s)) #s(literal 1/4 binary32)) s)))
#s(approx (exp (/ (neg x) s)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) #s(literal 4 binary32)) s)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (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 (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (neg.f32 (/.f32 (fma.f32 #s(literal 5/3 binary32) (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) s) (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)))) s))) s)) #s(literal 4 binary32)) s)))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x (/.f32 x (*.f32 s s)))) (fma.f32 #s(literal -3/16 binary32) (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/4 binary32))) s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x (/.f32 x (*.f32 s s)))) (fma.f32 #s(literal -3/16 binary32) (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/4 binary32))) s)))
#s(approx (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x (/.f32 x (*.f32 s s)))) #s(literal 1/4 binary32)) s)))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32)) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32) #s(literal 1/4 binary32))) s)))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 x x) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))) s) (neg.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal -1/8 binary32) (*.f32 #s(literal -1/4 binary32) (fabs.f32 x))))) (fma.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s)) #s(literal 1/16 binary32) (/.f32 (*.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal -1/8 binary32) (*.f32 #s(literal -1/4 binary32) (fabs.f32 x))) (fabs.f32 x)) s))) s)) #s(literal 1/4 binary32)) s)))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) s)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)))))) s) #s(literal 1/4 binary32) (neg.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 x x) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))) #s(literal 1/4 binary32)) (fma.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal -1/8 binary32) (*.f32 #s(literal -1/4 binary32) (fabs.f32 x))) (fabs.f32 x) (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32)))))) (fma.f32 (*.f32 #s(literal 5/3 binary32) (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) s)) #s(literal 1/16 binary32) (fma.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal -1/8 binary32) (*.f32 #s(literal -1/4 binary32) (fabs.f32 x))) s)) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 x x) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))) #s(literal 1/4 binary32)) (fma.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal -1/8 binary32) (*.f32 #s(literal -1/4 binary32) (fabs.f32 x))) (fabs.f32 x) (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1/16 binary32)))) (fabs.f32 x)) s)))) s)) (neg.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal -1/8 binary32) (*.f32 #s(literal -1/4 binary32) (fabs.f32 x))))) s)) #s(literal 1/4 binary32)) s)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 x x) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))) s)) (*.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32))) s))))
#s(approx (exp (/ (neg x) s)) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)))))) s)) (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 x x) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))))) s)) (*.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32))) s)) #s(literal 1 binary32)))
#s(approx (cosh (/ x s)) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) s)) (*.f32 x (/.f32 x (*.f32 s s)))) #s(literal 1 binary32)))
#s(approx (cosh (/ x s)) (+.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) #s(literal -1/2 binary32) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) x (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/6 binary32)))) s) #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32))) #s(literal -1/2 binary32))) (*.f32 (*.f32 s s) s)))) #s(literal 1 binary32)))
#s(approx (sinh (/ x s)) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/2 binary32)))
#s(approx (sinh (/ x s)) (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) #s(literal -1/2 binary32) (*.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32))) s)))
#s(approx (sinh (/ x s)) (neg.f32 (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)))) s) #s(literal -1/2 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 1/2 binary32))) s))) s)))
#s(approx (sinh (/ x s)) (neg.f32 (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/24 binary32)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)) x)))) s) #s(literal -1/2 binary32))) s))) s))) s)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) #s(literal 4 binary32)) s)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (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 (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (neg.f32 (/.f32 (fma.f32 #s(literal 5/3 binary32) (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) s) (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)))) s))) s)) #s(literal 4 binary32)) s)))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (neg.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s)))) s)) #s(literal 4 binary32)))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+.f32 #s(literal 4 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (neg.f32 (/.f32 (fma.f32 #s(literal 3 binary32) (*.f32 x x) (neg.f32 (*.f32 #s(literal 5/3 binary32) (/.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) s)))) s))) s))))
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s)) #s(literal 2 binary32)))
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.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)) (fabs.f32 x)) s))))
#s(approx (exp (neg (/ (fabs x) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s)) #s(literal 1 binary32)))
#s(approx (exp (neg (/ (fabs x) s))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.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)) (fabs.f32 x)) s))))

eval46.0ms (1.7%)

Memory
-21.4MiB live, 65.1MiB allocated; 17ms collecting garbage
Compiler

Compiled 7 074 to 2 450 computations (65.4% saved)

prune11.0ms (0.4%)

Memory
25.8MiB live, 25.8MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New4434447
Fresh033
Picked235
Done033
Total44513458
Accuracy
99.7%
Counts
458 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
22.9%
(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
97.1%
(/.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)))))
96.9%
(/.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)))
96.9%
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
99.7%
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
97.1%
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))))
99.7%
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
22.3%
#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 x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
25.0%
#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))
9.7%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))) (*.f32 s s)))
22.5%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) (*.f32 s s)))
25.4%
#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 528 to 399 computations (24.4% saved)

series175.0ms (6.5%)

Memory
-25.4MiB live, 232.1MiB allocated; 44ms collecting garbage
Counts
43 → 153
Calls
Call 1
Inputs
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(literal 1 binary32)
#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 (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) (*.f32 s s)))
(/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) (*.f32 s s))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s))
(*.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 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 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
(/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32))
(*.f32 (/.f32 x s) (/.f32 x s))
(/.f32 x s)
#s(literal -1/16 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s))
(/.f32 (neg.f32 #s(approx (fabs x) x)) s)
(neg.f32 #s(approx (fabs x) x))
#s(approx (fabs x) x)
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.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 (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))) (*.f32 s s))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x)))
(*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))
(-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s))
(*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32))
(/.f32 s (*.f32 x x))
(*.f32 x x)
(/.f32 #s(literal 1/16 binary32) s)
#s(literal 1/16 binary32)
Outputs
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (/ (exp (neg (* 2 (log 2)))) s)))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 5))))) (/ (exp (neg (* 2 (log 2)))) s))))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 7))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 5))))))) (/ (exp (neg (* 2 (log 2)))) s))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 2))))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 4))))))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 6))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 4))))))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (* -2 (log 2))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* -1/4 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (* 2 (log 2))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* -1 (/ x s)) (* 2 (log 2)))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* 2 (log 2)) (* x (- (* 1/4 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* 2 (log 2)) (* x (- (* x (+ (* -1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (log 2)))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 2))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 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)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* 1/4 s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) s)) (* 1/4 s))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) #s(hole binary32 1/4))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) #s(hole binary32 (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))))
#s(approx (* (/ x s) (/ x s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (/ x s) #s(hole binary32 (/ 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 (* (* 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 (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (* 1/4 s)))
#s(approx (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) s)) (* 1/4 s))))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (* 1/4 (/ s (pow x 2)))))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (/ (+ (* -1/16 (/ (pow x 2) s)) (* 1/4 s)) (pow x 2))))
#s(approx (* (/ s (* x x)) 1/4) #s(hole binary32 (* 1/4 (/ s (pow x 2)))))
#s(approx (/ s (* x x)) #s(hole binary32 (/ s (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (/ (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))) s)))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (* x (- (* -2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s)))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (* 2 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s 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)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* -1/16 (/ (pow x 2) s))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ s (pow x 2))) (* 1/16 (/ 1 s))))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (+ (* (* (/ x s) (/ x 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 s) (/ x s)) -1/16) 1/4) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (* (/ x s) (/ x 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 (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (* -1/16 (/ (pow x 2) s))))
#s(approx (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ s (pow x 2))) (* 1/16 (/ 1 s))))))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (/ -1/16 s)))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (- (* 1/4 (/ s (pow x 2))) (* 1/16 (/ 1 s)))))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (/ (exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s)))))))) s)))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s))))))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (* -1 (* x (+ (* 2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (/ (+ (* -2 (* s (log (+ 1 (exp (* -1 (/ x s))))))) (* -1 x)) s)))
#s(approx s #s(hole binary32 s))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ (- (* 1/8 (pow x 2)) (* 3/16 (pow x 2))) (pow s 3))))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ (- (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2))) (* 3/16 (pow x 2))) (pow s 3))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (/ (- (* 1/8 (pow x 2)) (* 3/16 (pow x 2))) s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (/ (- (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2))) (* 3/16 (pow x 2))) s)))
#s(approx (* 1/4 s) #s(hole binary32 (* 1/4 s)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ (+ (* (* (/ x s) (/ x 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 s) (/ x s)) -1/16) 1/4) #s(hole binary32 (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (* 4 s) #s(hole binary32 (* 4 s)))
#s(approx (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) s)))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (/ (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/16) s)))
#s(approx (/ 1/16 s) #s(hole binary32 (/ 1/16 s)))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (/ (+ (exp (neg (* 2 (log 2)))) (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s)))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))))) s)))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) (pow s 4))))) s)))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3)))))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) (pow s 4)))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 2 (log 2)))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* -1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* -1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) (pow s 4))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2))))))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2))))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow 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 (/ 1/4 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 (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 3/16 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* s (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 3/16 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) #s(hole binary32 (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) 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 (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (* s (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (* s (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) s))))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1 (/ (+ (* 1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* 1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3)))))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (* -1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))))) (pow s 3)))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* 1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* -1 (/ (- (* 1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) s)) (* 1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)) (* 2 (log 2)))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) s))) s)) (* 2 (log 2)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow 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))))
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#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* -1 (* s (- (* -1/8 (/ (pow x 2) (pow s 2))) (+ 1/4 (* -3/16 (/ (pow x 2) (pow s 2)))))))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) #s(hole binary32 (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 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 (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (* -1 (* s (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)))))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (* -1 (* s (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))))
Calls

6 calls:

TimeVariablePointExpression
62.0ms
x
@-inf
((/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/ (neg x) s) (neg x) x s (* (log (+ (exp (/ (neg x) s)) 1)) 2) (log (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) 1 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* 1/4 s) 1/4 (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/16 (/ (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) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* (/ s (* x x)) 1/4) (/ s (* x x)) (* x x) (/ 1/16 s) 1/16)
50.0ms
x
@inf
((/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/ (neg x) s) (neg x) x s (* (log (+ (exp (/ (neg x) s)) 1)) 2) (log (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) 1 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* 1/4 s) 1/4 (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/16 (/ (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) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* (/ s (* x x)) 1/4) (/ s (* x x)) (* x x) (/ 1/16 s) 1/16)
23.0ms
s
@0
((/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/ (neg x) s) (neg x) x s (* (log (+ (exp (/ (neg x) s)) 1)) 2) (log (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) 1 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* 1/4 s) 1/4 (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/16 (/ (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) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* (/ s (* x x)) 1/4) (/ s (* x x)) (* x x) (/ 1/16 s) 1/16)
21.0ms
s
@-inf
((/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/ (neg x) s) (neg x) x s (* (log (+ (exp (/ (neg x) s)) 1)) 2) (log (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) 1 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* 1/4 s) 1/4 (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/16 (/ (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) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* (/ s (* x x)) 1/4) (/ s (* x x)) (* x x) (/ 1/16 s) 1/16)
8.0ms
s
@inf
((/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/ (neg x) s) (neg x) x s (* (log (+ (exp (/ (neg x) s)) 1)) 2) (log (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) 1 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* 1/4 s) 1/4 (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/16 (/ (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) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* (/ s (* x x)) 1/4) (/ s (* x x)) (* x x) (/ 1/16 s) 1/16)

rewrite172.0ms (6.4%)

Memory
21.1MiB live, 205.2MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08186807
08635570
150075388
085435097
Stop Event
iter-limit
node-limit
iter-limit
Counts
196 → 319
Calls
Call 1
Inputs
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(literal 1 binary32)
#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 (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) (*.f32 s s)))
(/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) (*.f32 s s))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s))
(*.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 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 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
(/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32))
(*.f32 (/.f32 x s) (/.f32 x s))
(/.f32 x s)
#s(literal -1/16 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s))
(/.f32 (neg.f32 #s(approx (fabs x) x)) s)
(neg.f32 #s(approx (fabs x) x))
#s(approx (fabs x) x)
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.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 (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))) (*.f32 s s)))
(/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))) (*.f32 s s))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x)))
(*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))
(-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s))
(*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32))
(/.f32 s (*.f32 x x))
(*.f32 x x)
(/.f32 #s(literal 1/16 binary32) s)
#s(literal 1/16 binary32)
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (/ (exp (neg (* 2 (log 2)))) s)))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 5))))) (/ (exp (neg (* 2 (log 2)))) s))))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 7))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 5))))))) (/ (exp (neg (* 2 (log 2)))) s))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 2))))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 4))))))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 6))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 4))))))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (* -2 (log 2))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* -1/4 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (* 2 (log 2))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* -1 (/ x s)) (* 2 (log 2)))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* 2 (log 2)) (* x (- (* 1/4 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* 2 (log 2)) (* x (- (* x (+ (* -1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (log 2)))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 2))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 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)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* 1/4 s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) s)) (* 1/4 s))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) #s(hole binary32 1/4))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) #s(hole binary32 (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))))
#s(approx (* (/ x s) (/ x s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (/ x s) #s(hole binary32 (/ 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 (* (* 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 (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (* 1/4 s)))
#s(approx (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) s)) (* 1/4 s))))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (* 1/4 (/ s (pow x 2)))))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (/ (+ (* -1/16 (/ (pow x 2) s)) (* 1/4 s)) (pow x 2))))
#s(approx (* (/ s (* x x)) 1/4) #s(hole binary32 (* 1/4 (/ s (pow x 2)))))
#s(approx (/ s (* x x)) #s(hole binary32 (/ s (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (/ (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))) s)))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (* x (- (* -2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s)))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (* 2 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s 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)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* -1/16 (/ (pow x 2) s))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ s (pow x 2))) (* 1/16 (/ 1 s))))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (+ (* (* (/ x s) (/ x 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 s) (/ x s)) -1/16) 1/4) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (* (/ x s) (/ x 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 (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (* -1/16 (/ (pow x 2) s))))
#s(approx (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ s (pow x 2))) (* 1/16 (/ 1 s))))))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (/ -1/16 s)))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (- (* 1/4 (/ s (pow x 2))) (* 1/16 (/ 1 s)))))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (/ (exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s)))))))) s)))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s))))))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (* -1 (* x (+ (* 2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (/ (+ (* -2 (* s (log (+ 1 (exp (* -1 (/ x s))))))) (* -1 x)) s)))
#s(approx s #s(hole binary32 s))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ (- (* 1/8 (pow x 2)) (* 3/16 (pow x 2))) (pow s 3))))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ (- (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2))) (* 3/16 (pow x 2))) (pow s 3))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (/ (- (* 1/8 (pow x 2)) (* 3/16 (pow x 2))) s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (/ (- (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2))) (* 3/16 (pow x 2))) s)))
#s(approx (* 1/4 s) #s(hole binary32 (* 1/4 s)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ (+ (* (* (/ x s) (/ x 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 s) (/ x s)) -1/16) 1/4) #s(hole binary32 (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (* 4 s) #s(hole binary32 (* 4 s)))
#s(approx (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) s)))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (/ (- (* 1/4 (/ (pow s 2) (pow x 2))) 1/16) s)))
#s(approx (/ 1/16 s) #s(hole binary32 (/ 1/16 s)))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (/ (+ (exp (neg (* 2 (log 2)))) (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s)))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))))) s)))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) (pow s 4))))) s)))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3)))))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) (pow s 4)))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 2 (log 2)))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* -1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* -1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) (pow s 4))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2))))))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2))))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow 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 (/ 1/4 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 (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 3/16 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* s (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 3/16 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) #s(hole binary32 (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) 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 (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (* s (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (* s (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) s))))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) #s(hole binary32 (* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1 (/ (+ (* 1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* 1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3)))))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(hole binary32 (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (* -1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))))) (pow s 3)))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* 1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) #s(hole binary32 (- (* -1 (/ (- (* 1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) s)) (* 1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)) (* 2 (log 2)))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) #s(hole binary32 (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) s))) s)) (* 2 (log 2)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow 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)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) #s(hole binary32 (* -1 (/ (- (* -1/8 (/ (pow x 2) (pow s 2))) (+ 1/4 (* -3/16 (/ (pow x 2) (pow s 2))))) s))))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) #s(hole binary32 (* -1 (* s (- (* -1/8 (/ (pow x 2) (pow s 2))) (+ 1/4 (* -3/16 (/ (pow x 2) (pow s 2)))))))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) #s(hole binary32 (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 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 (* x x)) 1/4) (/ 1/16 s)) (* x x)) #s(hole binary32 (* -1 (* s (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4)))))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) #s(hole binary32 (* -1 (* s (- (* 1/16 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow x 2))))))))
Outputs
(/.f32 (neg.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))))) (neg.f32 s))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (*.f32 #s(literal -2 binary32) (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(+.f32 (cosh.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) (sinh.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))))
(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 x (/.f32 x (*.f32 s s))) (pow.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))))
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#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) #s(literal 1/4 binary32))
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#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx x x)
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) (log.f32 #s(literal 4 binary32)))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) (-.f32 (/.f32 (neg.f32 x) s) (log.f32 #s(literal 1/4 binary32))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s)) x (log.f32 #s(literal 4 binary32))))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal -1/96 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x (log.f32 #s(literal 4 binary32))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) (log.f32 #s(literal 2 binary32)))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/8 binary32)) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 2 binary32))))
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#s(approx (+ (exp (/ (neg x) s)) 1) #s(literal 2 binary32))
#s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
#s(approx (+ (exp (/ (neg x) s)) 1) (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
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#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
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#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs 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)))
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#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s))
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#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/16 binary32) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) #s(literal 1/4 binary32))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32) #s(literal 1/4 binary32)))
#s(approx (* (/ x s) (/ x s)) (*.f32 x (/.f32 x (*.f32 s s))))
#s(approx (/ x s) (/.f32 x s))
#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 (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs 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(approx (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) (*.f32 #s(literal 1/4 binary32) s))
#s(approx (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) s)))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) s)) (*.f32 x x)))
#s(approx (* (/ s (* x x)) 1/4) (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)))
#s(approx (/ s (* x x)) (/.f32 s (*.f32 x x)))
#s(approx (* x x) (*.f32 x x))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) (/.f32 (exp.f32 (neg.f32 (fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32) (/.f32 x s)))) s))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) (exp.f32 (neg.f32 (fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32) (/.f32 x s)))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/.f32 (neg.f32 x) s))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) x) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (* (log (+ (exp (/ (neg x) s)) 1)) 2) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
#s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/16 binary32)))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) x) x))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) (*.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/16 binary32)))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x)))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/16 binary32)))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/16) 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(approx (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)))
#s(approx (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) (*.f32 (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) x) x))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (/.f32 #s(literal -1/16 binary32) s))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) (/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s))
#s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (*.f32 (neg.f32 x) (fma.f32 #s(literal 2 binary32) (/.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) x) (/.f32 #s(literal 1 binary32) s))))
#s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) s) (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (neg.f32 x)) s))
#s(approx s s)
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/16 binary32)))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (/.f32 (-.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 #s(literal 3/16 binary32) (*.f32 x x))) (*.f32 (*.f32 s s) s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)))
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#s(approx (* 1/4 s) (*.f32 #s(literal 1/4 binary32) s))
#s(approx (* s s) (*.f32 s s))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) (*.f32 (*.f32 s s) s)))
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#s(approx (* 4 s) (*.f32 #s(literal 4 binary32) s))
#s(approx (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/16 binary32))) s))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 s s) (*.f32 x x)) #s(literal 1/4 binary32)) #s(literal 1/16 binary32)) s))
#s(approx (/ 1/16 s) (/.f32 #s(literal 1/16 binary32) s))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) (/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/4 binary32)) (*.f32 s s))) #s(literal 1/4 binary32)) s))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) (/.f32 (+.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32))) #s(literal 1/4 binary32)) (*.f32 (*.f32 s s) s)) #s(literal -1/3 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/4 binary32)) (*.f32 s s))))) s))
#s(approx (/ (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) s) (/.f32 (+.f32 (+.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32))) #s(literal 1/4 binary32)) (*.f32 (*.f32 s s) s)) #s(literal -1/3 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/16 binary32)) #s(literal 1/2 binary32) (*.f32 (+.f32 (neg.f32 (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -3/4 binary32) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -3/8 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 2 binary32))))) #s(literal -1/12 binary32))) #s(literal 1/4 binary32)) (*.f32 (*.f32 s s) (*.f32 s s)))) (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/4 binary32)) (*.f32 s s)))) #s(literal 1/4 binary32)) s))
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#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.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))))) (neg.f32 (/.f32 (-.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal 1/24 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) #s(literal 1/4 binary32)) (fma.f32 (/.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 s s) s)) #s(literal 1/16 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (fabs.f32 x)) (*.f32 (*.f32 s s) s)))) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s) #s(literal 1/96 binary32) (neg.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/24 binary32)) (fma.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) x)) #s(literal 1/16 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (fabs.f32 x)))))) (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/12 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/6 binary32))) s) #s(literal 1/16 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 #s(literal 3 binary32) (*.f32 x x))) s) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/24 binary32)) (fma.f32 (*.f32 #s(literal 5/3 binary32) (*.f32 (*.f32 x x) x)) #s(literal 1/16 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (fabs.f32 x)))) (fabs.f32 x)) s)))) (*.f32 (*.f32 s s) s))) (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) #s(literal 1/4 binary32)) s)))
#s(approx (/ (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (* s s)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x (/.f32 x (*.f32 s s)))) (fma.f32 #s(literal -3/16 binary32) (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/4 binary32))) s)))
#s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 x (/.f32 x (*.f32 s s)))) (fma.f32 #s(literal -3/16 binary32) (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/4 binary32))) s)))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/16) 1/4) s) (neg.f32 (/.f32 (-.f32 (*.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)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (fabs.f32 x) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s))) s))))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) #s(literal 4 binary32)) s)))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (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 (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (neg.f32 (/.f32 (fma.f32 #s(literal 5/3 binary32) (/.f32 (*.f32 (*.f32 x x) x) s) (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)))) s))) s)) #s(literal 4 binary32)) s)))
#s(approx (* (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (* x x)) (neg.f32 (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/16 binary32)) #s(literal 1/4 binary32)) s)))
#s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) s)))

eval28.0ms (1%)

Memory
14.7MiB live, 60.6MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 103 to 1 963 computations (61.5% saved)

prune16.0ms (0.6%)

Memory
-13.6MiB live, 32.2MiB allocated; 3ms collecting garbage
Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New3335338
Fresh112
Picked235
Done156
Total33714351
Accuracy
99.7%
Counts
351 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.9%
(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
97.1%
(/.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)))))
96.9%
(/.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)))
99.7%
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
95.9%
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/4 binary32) (log.f32 #s(literal 1/4 binary32))))) s)
82.6%
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/.f32 (neg.f32 x) s))) s)
99.7%
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) (exp.f32 (neg.f32 (fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32) (/.f32 x s))))) s)
22.3%
#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 x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s))
25.0%
#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))
25.4%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) s) s))
9.7%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))) (*.f32 s s)))
11.6%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x x))) (*.f32 s s)))
22.5%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) (*.f32 s s)))
25.4%
#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 753 to 482 computations (36% saved)

regimes38.0ms (1.4%)

Memory
-26.2MiB live, 70.3MiB allocated; 9ms collecting garbage
Counts
25 → 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)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) s) 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))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/.f32 (neg.f32 x) s))) 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))
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.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 (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x x))) (*.f32 s 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)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/4 binary32) (log.f32 #s(literal 1/4 binary32))))) s)
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.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 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.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) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) s) (*.f32 s (*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32)))) (*.f32 s s)))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) (exp.f32 (neg.f32 (fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32) (/.f32 x s))))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.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 (neg.f32 (/.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 (*.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 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s #s(literal 1 binary32) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(/.f32 (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (/.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 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
Calls

5 calls:

11.0ms
(fabs.f32 x)
8.0ms
x
7.0ms
s
6.0ms
(neg.f32 (fabs.f32 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
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)

regimes28.0ms (1%)

Memory
7.4MiB live, 53.2MiB allocated; 4ms collecting garbage
Counts
18 → 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)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) s) 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))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/.f32 (neg.f32 x) s))) 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))
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.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 (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x x))) (*.f32 s 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)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/4 binary32) (log.f32 #s(literal 1/4 binary32))))) s)
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.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 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.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) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) s) (*.f32 s (*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32)))) (*.f32 s s)))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) (exp.f32 (neg.f32 (fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32) (/.f32 x s))))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
Outputs
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2))) (exp.f32 (neg.f32 (fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32) (/.f32 x s))))) s)
Calls

5 calls:

8.0ms
(fabs.f32 x)
5.0ms
s
5.0ms
x
5.0ms
(neg.f32 (fabs.f32 x))
3.0ms
(/.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)

regimes25.0ms (1%)

Memory
2.7MiB live, 48.9MiB allocated; 4ms collecting garbage
Counts
16 → 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)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) s) 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))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/.f32 (neg.f32 x) s))) 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))
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.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 (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x x))) (*.f32 s 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)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/4 binary32) (log.f32 #s(literal 1/4 binary32))))) s)
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.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 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.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) (*.f32 s s)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) s) (*.f32 s (*.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1/16 binary32)))) (*.f32 s s)))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+.f32 s s))))
Calls

5 calls:

8.0ms
(fabs.f32 x)
5.0ms
s
4.0ms
x
4.0ms
(neg.f32 (fabs.f32 x))
3.0ms
(/.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
97.1%1(fabs.f32 x)
97.1%1(neg.f32 (fabs.f32 x))
97.1%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)))))
97.1%1x
97.1%1s
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes22.0ms (0.8%)

Memory
-4.0MiB live, 42.3MiB allocated; 3ms collecting garbage
Counts
13 → 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)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) s) 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))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/.f32 (neg.f32 x) s))) 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))
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.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 (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x x))) (*.f32 s 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)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/4 binary32) (log.f32 #s(literal 1/4 binary32))))) s)
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
Outputs
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.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:

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)))))
4.0ms
s
4.0ms
(fabs.f32 x)
4.0ms
x
4.0ms
(neg.f32 (fabs.f32 x))
Results
AccuracySegmentsBranch
96.9%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)))))
96.9%1(neg.f32 (fabs.f32 x))
96.9%1(fabs.f32 x)
96.9%1x
96.9%1s
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes18.0ms (0.7%)

Memory
39.4MiB live, 39.4MiB allocated; 0ms collecting garbage
Counts
12 → 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)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) s) 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))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/.f32 (neg.f32 x) s))) 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))
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.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 (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(approx (- (* (/ s (* x x)) 1/4) (/ 1/16 s)) (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x x))) (*.f32 s 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)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 (-.f32 (*.f32 (/.f32 s (*.f32 x x)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/4 binary32) (log.f32 #s(literal 1/4 binary32))))) s)
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) 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:

4.0ms
x
4.0ms
s
4.0ms
(fabs.f32 x)
4.0ms
(neg.f32 (fabs.f32 x))
3.0ms
(/.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
96.9%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)))))
96.9%1s
96.9%1(fabs.f32 x)
96.9%1(neg.f32 (fabs.f32 x))
96.9%1x
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes15.0ms (0.6%)

Memory
-26.6MiB live, 26.2MiB allocated; 5ms 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)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) s) 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))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/.f32 (neg.f32 x) s))) 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
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/.f32 (neg.f32 x) s))) 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
2.0ms
x
2.0ms
(neg.f32 (fabs.f32 x))
2.0ms
(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
99.2%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)))))
90.2%2(fabs.f32 x)
90.2%2(neg.f32 (fabs.f32 x))
90.2%2x
82.6%1s
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes2.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Counts
5 → 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)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) s) 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))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/.f32 (neg.f32 x) s))) s)
Outputs
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ (exp (/ (neg x) s)) 1)) 2)) (/.f32 (neg.f32 x) s))) s)
#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

1 calls:

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
98.6%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)

regimes12.0ms (0.5%)

Memory
-23.6MiB live, 22.4MiB allocated; 6ms collecting garbage
Accuracy

Total -1.3b remaining (-5.6%)

Threshold costs -1.3b (-5.6%)

Counts
4 → 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)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(approx (- (* (+ (* (/ (* x x) (* s s)) 1/8) 1/4) s) (* s (* (* 3 (/ (* x x) (* s s))) 1/16))) (*.f32 #s(literal 1/4 binary32) s)) s) 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))
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:

5.0ms
s
2.0ms
x
2.0ms
(fabs.f32 x)
2.0ms
(neg.f32 (fabs.f32 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
25.4%1s
25.4%1(fabs.f32 x)
25.4%1x
25.4%1(neg.f32 (fabs.f32 x))
25.4%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)))))
Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.07408087700605392
0.2768751382827759
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.07408087700605392
0.2768751382827759
Compiler

Compiled 24 to 16 computations (33.3% saved)

derivations392.0ms (14.7%)

Memory
-2.4MiB live, 337.0MiB allocated; 148ms collecting garbage
Stop Event
fuel
Compiler

Compiled 162 to 75 computations (53.7% saved)

preprocess45.0ms (1.7%)

Memory
13.7MiB live, 104.1MiB allocated; 8ms collecting garbage
Remove

(abs x)

Compiler

Compiled 697 to 458 computations (34.3% saved)

end0.0ms (0%)

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

Profiling

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