Logistic function

Time bar (total: 2.8s)

start0.0ms (0%)

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

analyze30.0ms (1.1%)

Memory
9.6MiB live, 54.1MiB allocated; 7ms 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 17 to 14 computations (17.6% saved)

sample799.0ms (29%)

Memory
11.2MiB live, 862.8MiB allocated; 283ms collecting garbage
Samples
540.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 370.0ms
ival-div!: 157.0ms (42.4% of total)
ival-exp: 109.0ms (29.4% of total)
ival-neg: 81.0ms (21.9% of total)
ival-add!: 21.0ms (5.7% of total)
adjust: 1.0ms (0.3% of total)
ival-<=: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
Bogosity

preprocess42.0ms (1.5%)

Memory
-13.0MiB live, 31.1MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02450
110050
226650
3110950
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 18 to 16 computations (11.1% saved)

series10.0ms (0.4%)

Memory
27.9MiB live, 27.9MiB allocated; 0ms collecting garbage
Counts
8 → 31
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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 (/ (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 (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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 (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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)))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)
2.0ms
x
@0
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)
2.0ms
x
@inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)
2.0ms
s
@inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)
1.0ms
s
@0
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)

rewrite211.0ms (7.6%)

Memory
9.2MiB live, 234.9MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181784
0189698
11275676
08219652
127076652
Stop Event
saturated
node-limit
iter-limit
Counts
39 → 72
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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 (/ (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 (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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 (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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)))))
Outputs
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #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 -1 binary32))
#s(literal 1 binary32)
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (neg.f32 (sinh.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 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(fabs.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fabs.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (neg.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 x))) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (*.f32 #s(literal 2 binary32) (neg.f32 x)) (*.f32 #s(literal 2 binary32) s))
(/.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) s)
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal -5 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx x x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.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 s s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (exp (/ (neg x) s)) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 x s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (exp (/ (neg x) s)) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 x s)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (neg.f32 (fma.f32 #s(literal 1/4 binary32) x (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s))) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) s)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) s)))

eval5.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 608 to 299 computations (50.8% saved)

prune13.0ms (0.5%)

Memory
-46.3MiB live, 11.8MiB allocated; 16ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New60565
Fresh000
Picked101
Done000
Total61566
Accuracy
100.0%
Counts
66 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
30.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
36.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 108 to 106 computations (1.9% saved)

series19.0ms (0.7%)

Memory
1.1MiB live, 45.0MiB allocated; 7ms collecting garbage
Counts
23 → 61
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (-.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))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
#s(literal -1 binary32)
Outputs
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ 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 (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ 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 x #s(hole binary32 x))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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)))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) 2 (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) -1)
2.0ms
s
@inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) 2 (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) -1)
2.0ms
x
@-inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) 2 (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) -1)
2.0ms
s
@-inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) 2 (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) -1)
2.0ms
s
@0
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) 2 (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) -1)

rewrite284.0ms (10.3%)

Memory
30.0MiB live, 350.0MiB allocated; 112ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03591945
03801614
128361586
0102391532
1340611532
Stop Event
saturated
node-limit
iter-limit
Counts
84 → 184
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (-.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))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ 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 (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ 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 x #s(hole binary32 x))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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)))))
Outputs
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 #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 -1 binary32))
#s(literal 1 binary32)
(/.f32 (+.f32 #s(literal -2 binary32) (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) #s(literal 2 binary32))) (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) #s(literal 2 binary32)))
(/.f32 (+.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32))) (*.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 (exp.f32 (/.f32 x s))) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 (fma.f32 #s(literal 2 binary32) (exp.f32 (/.f32 x s)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 x s))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #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)))
(neg.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (neg.f32 (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 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(fabs.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fabs.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(sqrt.f32 (*.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 x s))))
(pow.f32 (exp.f32 x) (/.f32 #s(literal 1 binary32) s))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(fabs.f32 (neg.f32 (exp.f32 (/.f32 x s))))
(fabs.f32 (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
(*.f32 x (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))
(-.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
#s(literal 1/4 binary32)
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(pow.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal -1 binary32))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) s)))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
(neg.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)))
#s(literal 2 binary32)
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 #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 -1 binary32))
(/.f32 (+.f32 #s(literal -2 binary32) (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) #s(literal 2 binary32))) (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) #s(literal 2 binary32)))
(/.f32 (+.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32))) (*.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 (exp.f32 (/.f32 x s))) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 (fma.f32 #s(literal 2 binary32) (exp.f32 (/.f32 x s)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 x s))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #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)))
(neg.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (neg.f32 (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 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(fabs.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fabs.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.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) s)
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) (pow.f32 s #s(literal -5 binary32))) #s(literal 1/480 binary32)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(literal 2 binary32))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (/ 1 (exp (/ x s))) #s(literal 1 binary32))
#s(approx (/ 1 (exp (/ x s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ x s) (/.f32 x s))
#s(approx x x)
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (/ 1 (exp (/ x s))) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (exp (/ x s)) (exp.f32 (/.f32 x s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (/ 1 (exp (/ x s))) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (- 2 (/ x s)) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx s s)
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) (*.f32 s s))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) (-.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) #s(literal -1/4 binary32) (fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x) #s(literal -1/8 binary32)))) (*.f32 (*.f32 s s) s))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) (*.f32 s s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32)) (/.f32 x s)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (*.f32 (*.f32 s s) s)))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 s s)) (/.f32 x s))))
#s(approx (/ 1 (exp (/ x s))) (-.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 s s))) #s(literal 1 binary32)) (/.f32 x s)))
#s(approx (/ 1 (exp (/ x s))) (-.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (*.f32 (*.f32 s s) s)))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 s s)) (/.f32 x s))))
#s(approx (exp (/ x s)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (/ 1 (exp (/ x s))) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) (+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) s) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) s)) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x))) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x))) s)) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) (neg.f32 x)) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x))) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)) (neg.f32 x)) s))))
#s(approx (/ 1 (exp (/ x s))) (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) (neg.f32 x)) s)) #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x))) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)) (neg.f32 x)) s))))
#s(approx (exp (/ x s)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (neg.f32 x)) s)) #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal 1/6 binary32))) s)) (neg.f32 x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (+ 1 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s)))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (/ 1 (exp (/ 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 (/ 1 (exp (/ x s))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))

eval15.0ms (0.5%)

Memory
-8.6MiB live, 36.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 365 to 645 computations (52.7% saved)

prune6.0ms (0.2%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New1327139
Fresh000
Picked055
Done000
Total13212144
Accuracy
100.0%
Counts
144 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
64.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
42.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
42.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
30.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
30.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
29.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
36.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 288 to 285 computations (1% saved)

series35.0ms (1.3%)

Memory
-11.6MiB live, 73.2MiB allocated; 22ms collecting garbage
Counts
34 → 79
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s))
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s))
#s(literal 1/4 binary32)
(*.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s)))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))
(/.f32 (-.f32 (+.f32 s s) x) s)
(-.f32 (+.f32 s s) x)
(+.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s))))
(-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))
#s(literal 2 binary32)
(*.f32 x (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/4 binary32) s)
Outputs
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ 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 (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ 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 x #s(hole binary32 x))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* 1/2 s)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (+ (* 1/4 x) (* 1/2 s))))
#s(approx (- (+ s s) x) #s(hole binary32 (* 2 s)))
#s(approx (- (+ s s) x) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (+ (/ x s) 1) #s(hole binary32 (* x (+ (/ 1 s) (/ 1 x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* 1/4 x)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* x (+ 1/4 (* 1/2 (/ s x))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 x)))
#s(approx (- (+ s s) x) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx (+ (/ x s) 1) #s(hole binary32 (/ (+ s x) s)))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (/ (- (+ s s) x) s) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (+ s s) x) #s(hole binary32 (- (* 2 s) x)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* s (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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 (- (+ s s) x) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ (- (+ s s) x) s) (- (+ s s) x) (+ s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (* x (/ 1 s))) 2 (* x (/ 1 s)) (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1/4 s))
9.0ms
s
@-inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ (- (+ s s) x) s) (- (+ s s) x) (+ s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (* x (/ 1 s))) 2 (* x (/ 1 s)) (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1/4 s))
6.0ms
x
@-inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ (- (+ s s) x) s) (- (+ s s) x) (+ s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (* x (/ 1 s))) 2 (* x (/ 1 s)) (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1/4 s))
3.0ms
s
@0
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ (- (+ s s) x) s) (- (+ s s) x) (+ s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (* x (/ 1 s))) 2 (* x (/ 1 s)) (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1/4 s))
3.0ms
x
@0
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ (- (+ s s) x) s) (- (+ s s) x) (+ s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (* x (/ 1 s))) 2 (* x (/ 1 s)) (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1/4 s))

rewrite202.0ms (7.3%)

Memory
24.5MiB live, 262.5MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04242331
04491992
131671964
081261897
1246581897
Stop Event
saturated
node-limit
iter-limit
Counts
113 → 273
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s))
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s))
#s(literal 1/4 binary32)
(*.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s)))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))
(/.f32 (-.f32 (+.f32 s s) x) s)
(-.f32 (+.f32 s s) x)
(+.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s))))
(-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))
#s(literal 2 binary32)
(*.f32 x (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/4 binary32) s)
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ 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 (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ 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 x #s(hole binary32 x))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* 1/2 s)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (+ (* 1/4 x) (* 1/2 s))))
#s(approx (- (+ s s) x) #s(hole binary32 (* 2 s)))
#s(approx (- (+ s s) x) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (+ (/ x s) 1) #s(hole binary32 (* x (+ (/ 1 s) (/ 1 x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* 1/4 x)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* x (+ 1/4 (* 1/2 (/ s x))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 x)))
#s(approx (- (+ s s) x) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx (+ (/ x s) 1) #s(hole binary32 (/ (+ s x) s)))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (/ (- (+ s s) x) s) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (+ s s) x) #s(hole binary32 (- (* 2 s) x)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* s (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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 (- (+ s s) x) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
Outputs
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32))))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
#s(literal 1 binary32)
(/.f32 (+.f32 #s(literal -2 binary32) (*.f32 (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 2 binary32))) (*.f32 (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 2 binary32)))
(/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal 2 binary32))) (*.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 (fma.f32 #s(literal 2 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))))
(-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))))
(pow.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal -1 binary32))
#s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/.f32 (fma.f32 (*.f32 x #s(literal 1 binary32)) #s(literal 2 binary32) (+.f32 s s)) (+.f32 s s))
(/.f32 (fma.f32 (neg.f32 x) #s(literal 2 binary32) (*.f32 (neg.f32 s) #s(literal 2 binary32))) (*.f32 (neg.f32 s) #s(literal 2 binary32)))
(/.f32 (fma.f32 x #s(literal 2 binary32) (+.f32 s s)) (+.f32 s s))
(/.f32 (fma.f32 #s(literal 2 binary32) s (*.f32 #s(literal 2 binary32) (*.f32 x #s(literal 1 binary32)))) (+.f32 s s))
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 s) (*.f32 #s(literal 2 binary32) (neg.f32 x))) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (fma.f32 #s(literal 2 binary32) s (*.f32 #s(literal 2 binary32) x)) (+.f32 s s))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (neg.f32 s)) (*.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 x)))) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (-.f32 (+.f32 s s) (*.f32 #s(literal 2 binary32) (neg.f32 x))) (+.f32 s s))
(-.f32 (/.f32 x s) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(fma.f32 (/.f32 #s(literal 1 binary32) s) x (*.f32 x (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 1 binary32))
(fma.f32 x (/.f32 #s(literal 1 binary32) s) (*.f32 x (/.f32 #s(literal 1 binary32) x)))
(fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))
(+.f32 (/.f32 x s) (*.f32 x (/.f32 #s(literal 1 binary32) x)))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 x s))
(*.f32 (/.f32 #s(literal 1 binary32) s) x)
(*.f32 x (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (*.f32 x #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
(*.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))) (neg.f32 s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (/.f32 (*.f32 #s(literal -1/2 binary32) s) s))
(-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) s)) s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) s) s))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) s) s))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) s) s) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (/.f32 (*.f32 #s(literal 1/2 binary32) s) s))
(-.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal -1/2 binary32) s))
(-.f32 (*.f32 #s(literal 1/4 binary32) x) (neg.f32 (*.f32 #s(literal 1/2 binary32) s)))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))
(fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s))
(fma.f32 s #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) x))
(fma.f32 x #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) s))
(+.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 #s(literal 1/4 binary32) x))
(+.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s))
#s(literal 1/4 binary32)
(*.f32 #s(literal 1/2 binary32) s)
(*.f32 s #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s)))))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s)))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))) #s(literal -1 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s)))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))
(*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 (fma.f32 (neg.f32 (neg.f32 x)) s (*.f32 (neg.f32 s) (+.f32 s s))) (*.f32 (neg.f32 s) s))
(/.f32 (fma.f32 (neg.f32 x) s (*.f32 s (+.f32 s s))) (*.f32 s s))
(/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) s)
(/.f32 (-.f32 (*.f32 (+.f32 s s) s) (*.f32 s (*.f32 x #s(literal 1 binary32)))) (*.f32 s s))
(/.f32 (-.f32 (*.f32 (+.f32 s s) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 s (neg.f32 s)))
(/.f32 (-.f32 (*.f32 (+.f32 s s) s) (*.f32 s x)) (*.f32 s s))
(/.f32 (neg.f32 (neg.f32 (-.f32 (+.f32 s s) x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (-.f32 (+.f32 s s) x)) (neg.f32 s))
(/.f32 (-.f32 (+.f32 s s) x) s)
(-.f32 (/.f32 (+.f32 s s) s) (/.f32 x s))
(-.f32 (/.f32 (neg.f32 x) s) (/.f32 (*.f32 #s(literal -2 binary32) s) s))
(-.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 (+.f32 s s)) s))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) (/.f32 (+.f32 s s) s))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) (/.f32 (+.f32 s s) s))
(fma.f32 (/.f32 x s) #s(literal -1 binary32) (/.f32 (+.f32 s s) s))
(+.f32 (/.f32 (+.f32 s s) s) (/.f32 (neg.f32 x) s))
(+.f32 (/.f32 s s) (/.f32 (-.f32 s x) s))
(+.f32 (/.f32 (neg.f32 x) s) (/.f32 (+.f32 s s) s))
(-.f32 (neg.f32 x) (*.f32 #s(literal -2 binary32) s))
(-.f32 (neg.f32 x) (neg.f32 (+.f32 s s)))
(-.f32 (+.f32 s s) x)
(fma.f32 #s(literal -1 binary32) x (+.f32 s s))
(fma.f32 #s(literal 2 binary32) s (neg.f32 x))
(fma.f32 s #s(literal 2 binary32) (neg.f32 x))
(fma.f32 x #s(literal -1 binary32) (+.f32 s s))
(+.f32 (neg.f32 x) (+.f32 s s))
(+.f32 (+.f32 s s) (neg.f32 x))
(+.f32 s (-.f32 s x))
(neg.f32 (-.f32 x (+.f32 s s)))
(*.f32 #s(literal 2 binary32) s)
(*.f32 s #s(literal 2 binary32))
(-.f32 s (neg.f32 s))
(+.f32 s s)
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal -1 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) s)))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
(fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
(neg.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)))
#s(literal 2 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) s) x)
(*.f32 x (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (*.f32 x #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 #s(literal -1 binary32) (neg.f32 s))
(/.f32 #s(literal 2 binary32) (+.f32 s s))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 s)))
(/.f32 #s(literal 1 binary32) s)
(pow.f32 s #s(literal -1 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x))
(*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x)
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (*.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(+.f32 (*.f32 x (/.f32 #s(literal 1/4 binary32) s)) (*.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) (*.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(/.f32 (fma.f32 #s(literal -1/4 binary32) (neg.f32 x) (*.f32 (neg.f32 s) #s(literal -1/2 binary32))) (*.f32 (neg.f32 s) (neg.f32 x)))
(/.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 (neg.f32 s) #s(literal 1/2 binary32))) (*.f32 (neg.f32 s) x))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (neg.f32 x) (*.f32 s #s(literal -1/2 binary32))) (*.f32 s (neg.f32 x)))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 s) (*.f32 (neg.f32 x) #s(literal -1/4 binary32))) (*.f32 (neg.f32 x) (neg.f32 s)))
(/.f32 (fma.f32 #s(literal -1/2 binary32) s (*.f32 (neg.f32 x) #s(literal 1/4 binary32))) (*.f32 (neg.f32 x) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 s) (*.f32 x #s(literal -1/4 binary32))) (*.f32 x (neg.f32 s)))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))) (neg.f32 (*.f32 x s)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x))
(-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 x s)) (/.f32 (*.f32 #s(literal -1/2 binary32) s) (*.f32 x s)))
(-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 x s)) (/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) s)) (*.f32 x s)))
(-.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
(-.f32 (/.f32 #s(literal 1/4 binary32) s) (neg.f32 (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (neg.f32 (/.f32 #s(literal 1/4 binary32) s)))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) s))
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/2 binary32) x))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x s)) (/.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 x s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 x s)) (/.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x s)))
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal -1/2 binary32) (neg.f32 x))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 x)))
(/.f32 #s(literal 1/2 binary32) x)
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) (neg.f32 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) (neg.f32 x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))
(*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal -1/4 binary32) (neg.f32 s))
(/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s)))
(/.f32 #s(literal 1/4 binary32) s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) (pow.f32 s #s(literal -5 binary32))) #s(literal 1/480 binary32)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (/ 1 (exp (/ x s))) #s(literal 1 binary32))
#s(approx (/ 1 (exp (/ x s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))
#s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ x s) (/.f32 x s))
#s(approx x x)
#s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s))
#s(approx (+ (* 1/4 x) (* 1/2 s)) (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)))
#s(approx (- (+ s s) x) (+.f32 s s))
#s(approx (- (+ s s) x) (-.f32 (+.f32 s s) x))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (exp (/ x s)) (exp.f32 (/.f32 x s)))
#s(approx (+ (/ x s) 1) (-.f32 (/.f32 x s) #s(literal -1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x))
#s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/4 binary32) x))
#s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) x))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))
#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (- (+ s s) x) (neg.f32 x))
#s(approx (- (+ s s) x) (*.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) (neg.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal -1/4 binary32)) x)))
#s(approx (- 2 (/ x s)) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx (- (+ s s) x) (neg.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 s x) #s(literal 1 binary32)) x)))
#s(approx (+ (/ x s) 1) (/.f32 (+.f32 s x) s))
#s(approx s s)
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))
#s(approx (/ (- (+ s s) x) s) (/.f32 (-.f32 (+.f32 s s) x) s))
#s(approx (- (+ s s) x) (-.f32 (+.f32 s s) x))
#s(approx (/ 1 s) (/.f32 #s(literal 1 binary32) s))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) (*.f32 s s))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (-.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) #s(literal -1/4 binary32) (fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x) #s(literal -1/8 binary32)))) (*.f32 (*.f32 s s) s))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 s s))) #s(literal 2 binary32)) (/.f32 x s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (*.f32 (*.f32 s s) s)))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 s s)) (/.f32 x s))))
#s(approx (/ 1 (exp (/ x s))) (-.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 s s))) #s(literal 1 binary32)) (/.f32 x s)))
#s(approx (/ 1 (exp (/ x s))) (-.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (*.f32 (*.f32 s s) s)))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 s s)) (/.f32 x s))))
#s(approx (exp (/ x s)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (- (+ s s) x) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) s) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) s)) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x))) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x))) s)) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) (neg.f32 x)) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x))) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)) (neg.f32 x)) s))))
#s(approx (/ 1 (exp (/ x s))) (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) (neg.f32 x)) s)) #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x))) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)) (neg.f32 x)) s))))
#s(approx (exp (/ x s)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (neg.f32 x)) s)) #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal 1/6 binary32))) s)) (neg.f32 x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) (neg.f32 (*.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal -1/2 binary32)) s)))
#s(approx (+ 1 (exp (/ (neg 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 x) s))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (- (+ s s) x) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s)))

eval22.0ms (0.8%)

Memory
13.6MiB live, 59.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 335 to 1 215 computations (48% saved)

prune12.0ms (0.4%)

Memory
-12.5MiB live, 34.3MiB allocated; 3ms collecting garbage
Pruning

18 alts after pruning (9 fresh and 9 done)

PrunedKeptTotal
New2328240
Fresh112
Picked145
Done055
Total23418252
Accuracy
100.0%
Counts
252 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
64.8%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32)))
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
42.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
42.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 (+.f32 s s) s) (*.f32 s x)) (*.f32 s s)))))
20.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
42.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 #s(approx (- (+ s s) x) (*.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x)) s))))
42.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s)))))
30.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
22.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))))
30.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
29.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
29.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
36.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
36.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 472 to 471 computations (0.2% saved)

series22.0ms (0.8%)

Memory
12.3MiB live, 58.4MiB allocated; 3ms collecting garbage
Counts
37 → 82
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))))
#s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))
(-.f32 (/.f32 x s) #s(literal -1 binary32))
(/.f32 x s)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))
(*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(neg.f32 x)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s))))
#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s))
(-.f32 (+.f32 s s) x)
(+.f32 s s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s)))
(/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))
(fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s)))
(*.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
(*.f32 s (*.f32 #s(literal 1/2 binary32) s))
(*.f32 #s(literal 1/2 binary32) s)
(*.f32 s s)
Outputs
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 1/2))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 2))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (/ 1 (exp (/ 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 (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ 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 (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ 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 x #s(hole binary32 x))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (- (+ s s) x) #s(hole binary32 (* 2 s)))
#s(approx (- (+ s s) x) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* 1/2 (pow s 2))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (+ (* 1/4 (* s x)) (* 1/2 (pow s 2)))))
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 x)))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (- (/ x s) -1) #s(hole binary32 (* x (+ (/ 1 s) (/ 1 x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (neg x) (/ 1 s)) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* (neg x) (/ 1 s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (+ s s) x) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* 1/4 (* s x))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* x (+ (* 1/4 s) (* 1/2 (/ (pow s 2) x))))))
#s(approx (+ (* (neg x) (/ 1 s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* -1 (* x (+ (* -1/2 (/ (pow s 2) x)) (* -1/4 s))))))
#s(approx (- (/ x s) -1) #s(hole binary32 (/ (+ s x) s)))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (+ (* (neg x) (/ 1 s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (- (+ s s) x) #s(hole binary32 (- (* 2 s) x)))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* s (+ (* 1/4 x) (* 1/2 s)))))
#s(approx (* 1/2 s) #s(hole binary32 (* 1/2 s)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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 (- (+ s s) x) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* (pow s 2) (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ 1 (+ (/ 1 (exp (/ x s))) 1)) 1 (+ (/ 1 (exp (/ x s))) 1) (/ 1 (exp (/ x s))) (exp (/ x s)) (- (/ x s) -1) (/ x s) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg x) (/ 1 s)) 2) (neg x) (/ 1 s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (+ s s) x) (/ 1 s)) (- (+ s s) x) (+ s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* 1/4 x) 1/4 (* s (* 1/2 s)) (* 1/2 s) (* s s))
3.0ms
s
@-inf
((/ 1 (+ (/ 1 (exp (/ x s))) 1)) 1 (+ (/ 1 (exp (/ x s))) 1) (/ 1 (exp (/ x s))) (exp (/ x s)) (- (/ x s) -1) (/ x s) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg x) (/ 1 s)) 2) (neg x) (/ 1 s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (+ s s) x) (/ 1 s)) (- (+ s s) x) (+ s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* 1/4 x) 1/4 (* s (* 1/2 s)) (* 1/2 s) (* s s))
3.0ms
x
@inf
((/ 1 (+ (/ 1 (exp (/ x s))) 1)) 1 (+ (/ 1 (exp (/ x s))) 1) (/ 1 (exp (/ x s))) (exp (/ x s)) (- (/ x s) -1) (/ x s) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg x) (/ 1 s)) 2) (neg x) (/ 1 s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (+ s s) x) (/ 1 s)) (- (+ s s) x) (+ s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* 1/4 x) 1/4 (* s (* 1/2 s)) (* 1/2 s) (* s s))
3.0ms
s
@0
((/ 1 (+ (/ 1 (exp (/ x s))) 1)) 1 (+ (/ 1 (exp (/ x s))) 1) (/ 1 (exp (/ x s))) (exp (/ x s)) (- (/ x s) -1) (/ x s) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg x) (/ 1 s)) 2) (neg x) (/ 1 s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (+ s s) x) (/ 1 s)) (- (+ s s) x) (+ s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* 1/4 x) 1/4 (* s (* 1/2 s)) (* 1/2 s) (* s s))
3.0ms
x
@0
((/ 1 (+ (/ 1 (exp (/ x s))) 1)) 1 (+ (/ 1 (exp (/ x s))) 1) (/ 1 (exp (/ x s))) (exp (/ x s)) (- (/ x s) -1) (/ x s) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg x) (/ 1 s)) 2) (neg x) (/ 1 s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (+ s s) x) (/ 1 s)) (- (+ s s) x) (+ s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* 1/4 x) 1/4 (* s (* 1/2 s)) (* 1/2 s) (* s s))

rewrite221.0ms (8%)

Memory
-8.6MiB live, 291.8MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04432453
04712094
132992052
080801971
1242911971
Stop Event
saturated
node-limit
iter-limit
Counts
119 → 268
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))))
#s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))
(-.f32 (/.f32 x s) #s(literal -1 binary32))
(/.f32 x s)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))
(*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(neg.f32 x)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s))))
#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s)))
(*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s))
(-.f32 (+.f32 s s) x)
(+.f32 s s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s)))
(/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))
(fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s)))
(*.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
(*.f32 s (*.f32 #s(literal 1/2 binary32) s))
(*.f32 #s(literal 1/2 binary32) s)
(*.f32 s s)
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 1/2))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 2))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (/ 1 (exp (/ 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 (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ 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 (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ 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 x #s(hole binary32 x))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (- (+ s s) x) #s(hole binary32 (* 2 s)))
#s(approx (- (+ s s) x) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* 1/2 (pow s 2))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (+ (* 1/4 (* s x)) (* 1/2 (pow s 2)))))
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 x)))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (- (/ x s) -1) #s(hole binary32 (* x (+ (/ 1 s) (/ 1 x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (neg x) (/ 1 s)) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* (neg x) (/ 1 s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (+ s s) x) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* 1/4 (* s x))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* x (+ (* 1/4 s) (* 1/2 (/ (pow s 2) x))))))
#s(approx (+ (* (neg x) (/ 1 s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* -1 (* x (+ (* -1/2 (/ (pow s 2) x)) (* -1/4 s))))))
#s(approx (- (/ x s) -1) #s(hole binary32 (/ (+ s x) s)))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (+ (* (neg x) (/ 1 s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (- (+ s s) x) #s(hole binary32 (- (* 2 s) x)))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* s (+ (* 1/4 x) (* 1/2 s)))))
#s(approx (* 1/2 s) #s(hole binary32 (* 1/2 s)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #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 (- (+ s s) x) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* (pow s 2) (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
Outputs
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32))))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32)))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))
#s(literal 1 binary32)
(/.f32 (+.f32 #s(literal -2 binary32) (*.f32 (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 2 binary32))) (*.f32 (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 2 binary32)))
(/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal 2 binary32))) (*.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 (fma.f32 #s(literal 2 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))))
(pow.f32 #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))) #s(literal -1 binary32))
#s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))
(/.f32 (fma.f32 (neg.f32 x) #s(literal 2 binary32) (*.f32 (neg.f32 s) #s(literal 2 binary32))) (*.f32 (neg.f32 s) #s(literal 2 binary32)))
(/.f32 (fma.f32 x #s(literal 2 binary32) (+.f32 s s)) (+.f32 s s))
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 s) (*.f32 #s(literal 2 binary32) (neg.f32 x))) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (fma.f32 #s(literal 2 binary32) s (*.f32 #s(literal 2 binary32) x)) (+.f32 s s))
(/.f32 (-.f32 (+.f32 s s) (*.f32 #s(literal 2 binary32) (*.f32 (neg.f32 x) #s(literal 1 binary32)))) (+.f32 s s))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (neg.f32 s)) (*.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 x)))) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (-.f32 (+.f32 s s) (*.f32 #s(literal 2 binary32) (neg.f32 x))) (+.f32 s s))
(-.f32 (/.f32 x s) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 x s))
(neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 x s)))
(*.f32 x (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))
(*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)
(*.f32 x #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal -1/2 binary32) (neg.f32 x))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 x)))
(/.f32 #s(literal 1/2 binary32) x)
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) (neg.f32 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) (neg.f32 x)))
#s(literal 1/2 binary32)
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (/ 1 (exp (/ x s))) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 #s(approx (+ (/ 1 (exp (/ x s))) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) #s(approx (+ (/ 1 (exp (/ x s))) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ (/ 1 (exp (/ x s))) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ (/ 1 (exp (/ x s))) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (/ 1 (exp (/ x s))) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(pow.f32 #s(approx (+ (/ 1 (exp (/ x s))) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal -1 binary32))
#s(approx (+ (/ 1 (exp (/ x s))) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32))
(-.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) s)))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
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#s(approx (exp (/ x s)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (- (+ s s) x) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) s))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) s) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) s)) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x))) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x))) s)) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ (/ 1 (exp (/ x s))) 1) (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) (neg.f32 x)) s)) #s(literal 2 binary32)))
#s(approx (+ (/ 1 (exp (/ x s))) 1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x))) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)) (neg.f32 x)) s))))
#s(approx (/ 1 (exp (/ x s))) (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) (neg.f32 x)) s)) #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x))) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)) (neg.f32 x)) s))))
#s(approx (exp (/ x s)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (neg.f32 x)) s)) #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal 1/6 binary32))) s)) (neg.f32 x)) s))))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (/ 1 (exp (/ x s))) 1)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (+ (/ 1 (exp (/ x s))) 1) (+.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 (/ x s))) 1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (- (+ s s) x) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s)))

eval23.0ms (0.9%)

Memory
-23.6MiB live, 66.4MiB allocated; 8ms collecting garbage
Compiler

Compiled 2 393 to 1 197 computations (50% saved)

prune20.0ms (0.7%)

Memory
-7.3MiB live, 45.6MiB allocated; 11ms collecting garbage
Pruning

23 alts after pruning (11 fresh and 12 done)

PrunedKeptTotal
New2367243
Fresh044
Picked235
Done099
Total23823261
Accuracy
100.0%
Counts
261 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.8%
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32)))
99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
42.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
42.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 (+.f32 s s) s) (*.f32 s x)) (*.f32 s s)))))
20.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
42.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 #s(approx (- (+ s s) x) (*.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x)) s))))
42.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s)))))
36.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (+ s s) x) (+.f32 s s)) (/.f32 #s(literal 1 binary32) s)))))
42.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (+ s s) x) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) s)) (/.f32 #s(literal 1 binary32) s)))))
30.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
30.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
24.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s) s) s)))
22.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (fma.f32 (*.f32 s x) #s(literal 1/4 binary32) (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (*.f32 s s))))
21.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (*.f32 s s))))
25.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s s))))
29.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
29.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
36.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
36.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 664 to 585 computations (11.9% saved)

regimes54.0ms (2%)

Memory
46.9MiB live, 136.4MiB allocated; 10ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (+ s s) x) (+.f32 s s)) (/.f32 #s(literal 1 binary32) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s) s) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 #s(approx (- (+ s s) x) (*.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (+ s s) x) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) s)) (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (fma.f32 (*.f32 s x) #s(literal 1/4 binary32) (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (*.f32 s s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 (+.f32 s s) s) (*.f32 s x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
Calls

7 calls:

11.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
8.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
7.0ms
x
7.0ms
s
7.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
99.9%1(neg.f32 x)
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1x
99.9%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes56.0ms (2%)

Memory
-2.3MiB live, 142.7MiB allocated; 15ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (+ s s) x) (+.f32 s s)) (/.f32 #s(literal 1 binary32) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s) s) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 #s(approx (- (+ s s) x) (*.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (+ s s) x) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) s)) (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (fma.f32 (*.f32 s x) #s(literal 1/4 binary32) (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (*.f32 s s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 (+.f32 s s) s) (*.f32 s x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
Calls

7 calls:

11.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
7.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms
s
7.0ms
x
7.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
99.9%1(neg.f32 x)
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1x
99.9%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes57.0ms (2.1%)

Memory
2.6MiB live, 136.8MiB allocated; 24ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (+ s s) x) (+.f32 s s)) (/.f32 #s(literal 1 binary32) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s) s) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 #s(approx (- (+ s s) x) (*.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (+ s s) x) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) s)) (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (fma.f32 (*.f32 s x) #s(literal 1/4 binary32) (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (*.f32 s s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 (+.f32 s s) s) (*.f32 s x)) (*.f32 s s)))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 (+.f32 s s) s) (*.f32 s x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32)))
Calls

7 calls:

17.0ms
(/.f32 (neg.f32 x) s)
9.0ms
s
7.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
6.0ms
x
6.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
84.7%2(neg.f32 x)
84.6%2(/.f32 (neg.f32 x) s)
84.6%2(exp.f32 (/.f32 (neg.f32 x) s))
84.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
84.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
84.7%2x
64.8%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes40.0ms (1.5%)

Memory
-16.6MiB live, 119.9MiB allocated; 11ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (+ s s) x) (+.f32 s s)) (/.f32 #s(literal 1 binary32) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s) s) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 #s(approx (- (+ s s) x) (*.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (+ s s) x) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) s)) (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (fma.f32 (*.f32 s x) #s(literal 1/4 binary32) (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (*.f32 s s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (*.f32 s s))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1 binary32)))
Calls

6 calls:

9.0ms
x
8.0ms
(/.f32 (neg.f32 x) s)
7.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
6.0ms
(neg.f32 x)
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
78.9%2(/.f32 (neg.f32 x) s)
78.9%2(exp.f32 (/.f32 (neg.f32 x) s))
78.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
78.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
78.9%2(neg.f32 x)
78.9%2x
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes61.0ms (2.2%)

Memory
1.9MiB live, 93.3MiB allocated; 49ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (+ s s) x) (+.f32 s s)) (/.f32 #s(literal 1 binary32) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (+.f32 s s) x) (/.f32 #s(literal 1 binary32) s)))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (+ s s) x) (+.f32 s s)) (/.f32 #s(literal 1 binary32) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
Calls

7 calls:

23.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
18.0ms
s
4.0ms
(neg.f32 x)
4.0ms
x
4.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
42.6%1s
51.3%2x
51.3%2(neg.f32 x)
51.6%2(/.f32 (neg.f32 x) s)
51.6%2(exp.f32 (/.f32 (neg.f32 x) s))
51.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
51.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes22.0ms (0.8%)

Memory
8.1MiB live, 50.7MiB allocated; 13ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
Calls

4 calls:

14.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
51.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
51.6%2(/.f32 (neg.f32 x) s)
51.6%2(exp.f32 (/.f32 (neg.f32 x) s))
51.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes17.0ms (0.6%)

Memory
9.0MiB live, 52.1MiB allocated; 9ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
Calls

6 calls:

9.0ms
(neg.f32 x)
2.0ms
x
2.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
50.3%2x
50.3%2(neg.f32 x)
50.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.3%2(/.f32 (neg.f32 x) s)
50.3%2(exp.f32 (/.f32 (neg.f32 x) s))
50.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes31.0ms (1.1%)

Memory
-19.2MiB live, 41.0MiB allocated; 29ms collecting garbage
Accuracy

Total -0.0b remaining (-0.2%)

Threshold costs -0b (-0.2%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Calls

7 calls:

24.0ms
(neg.f32 x)
1.0ms
x
1.0ms
s
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
36.5%1s
36.5%1x
36.5%1(neg.f32 x)
36.5%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
36.5%1(/.f32 (neg.f32 x) s)
36.5%1(exp.f32 (/.f32 (neg.f32 x) s))
36.5%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
-2.2842720828646805e-18
-1.9996493670476874e-18
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.500766932964325
0.543143630027771
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.194277286529541
1.654306411743164
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.194277286529541
1.654306411743164
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.322737693786621
2529.624267578125
Compiler

Compiled 12 to 14 computations (-16.7% saved)

derivations293.0ms (10.6%)

Memory
28.6MiB live, 306.9MiB allocated; 57ms collecting garbage
Stop Event
fuel
Compiler

Compiled 89 to 70 computations (21.3% saved)

preprocess135.0ms (4.9%)

Memory
6.6MiB live, 108.4MiB allocated; 10ms collecting garbage
Compiler

Compiled 98 to 78 computations (20.4% saved)

end0.0ms (0%)

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

Profiling

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