Logistic function

Time bar (total: 2.3s)

start0.0ms (0%)

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

analyze39.0ms (1.7%)

Memory
15.0MiB live, 60.6MiB allocated; 4ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample641.0ms (28.4%)

Memory
24.5MiB live, 659.7MiB allocated; 169ms collecting garbage
Samples
462.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-div!: 90.0ms (41.9% of total)
ival-exp: 63.0ms (29.3% of total)
ival-neg: 39.0ms (18.1% of total)
ival-add!: 21.0ms (9.8% of total)
adjust: 1.0ms (0.5% of total)
ival-<=: 1.0ms (0.5% of total)
ival-and: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess30.0ms (1.3%)

Memory
32.7MiB live, 32.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02450
17650
216150
355650
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.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)

series17.0ms (0.7%)

Memory
-36.0MiB live, 14.0MiB allocated; 11ms 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
6.0ms
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)
4.0ms
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
@-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)

rewrite141.0ms (6.2%)

Memory
42.0MiB live, 128.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181784
0189698
11087689
08157663
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
39 → 77
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 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.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) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #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))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
#s(literal 1 binary32)
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.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 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.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)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (neg.f32 (sinh.f32 (/.f32 x s))) (neg.f32 (sinh.f32 (/.f32 x s))))) (-.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s)))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sinh.f32 (/.f32 x s))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (neg.f32 (sinh.f32 (/.f32 x s))) (neg.f32 (sinh.f32 (/.f32 x s)))) (*.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 s))
(neg.f32 (/.f32 (neg.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 (-.f32 (/.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 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
#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 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)))
#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 (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 (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx s s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (neg.f32 (fma.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 (-.f32 (/.f32 (neg.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)) #s(literal -1/2 binary32)) (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 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 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 (exp (/ (neg 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 (exp (/ (neg x) s)) (+.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) (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 (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 (/.f32 (+.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) (neg.f32 (*.f32 #s(literal -1/4 binary32) x))) s) #s(literal -1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (+.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 (exp (/ (neg x) s)) (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (-.f32 (/.f32 (+.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(literal -1 binary32)))

eval7.0ms (0.3%)

Memory
-35.2MiB live, 10.1MiB allocated; 3ms collecting garbage
Compiler

Compiled 781 to 342 computations (56.2% saved)

prune5.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New62870
Fresh000
Picked101
Done000
Total63871
Accuracy
99.9%
Counts
71 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
▶44.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
▶99.2%
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
17.1%
#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)))
29.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶35.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 198 to 184 computations (7.1% saved)

series98.0ms (4.3%)

Memory
16.5MiB live, 109.1MiB allocated; 15ms collecting garbage
Counts
26 → 76
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(+.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 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(literal -1/2 binary32)
Outputs
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 2))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx 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 (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 (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow 2 -1/2) 2)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))))))) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (+ (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* x (+ (* -5/192 (/ (pow (pow 2 -1/2) 2) (pow s 3))) (* -1/64 (/ (pow (pow 2 -1/2) 2) (pow s 3)))))))))) (pow (pow 2 -1/2) 2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow 2 -1/2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* -1/32 (/ (* x (pow 2 -1/2)) (pow s 2))) (* 1/4 (/ (pow 2 -1/2) s)))) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* 1/4 (/ (pow 2 -1/2) s)) (* x (+ (* -1/32 (/ (pow 2 -1/2) (pow s 2))) (* -5/384 (/ (* x (pow 2 -1/2)) (pow s 3))))))) (pow 2 -1/2))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#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 (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow (+ 1 (exp (* -1 (/ x s)))) -1/2) 2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) -1/2)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 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 (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (pow (pow 2 -1/2) 2))))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))) (pow s 3))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 2 (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow (pow 2 -1/2) 2)) (pow s 3))) (pow (pow 2 -1/2) 2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (pow 2 -1/2)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (+ (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow 2 -1/2)) (pow s 3)) (pow 2 -1/2))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 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 (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) (* 2 (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow (pow 2 -1/2) 2)))) s)) (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow 2 -1/2)) s)) (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2))) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2))))
Calls

6 calls:

TimeVariablePointExpression
38.0ms
x
@inf
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) -1/2)
24.0ms
x
@-inf
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) -1/2)
21.0ms
s
@0
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) -1/2)
5.0ms
s
@inf
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) -1/2)
4.0ms
x
@0
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) -1/2)

rewrite178.0ms (7.9%)

Memory
-0.5MiB live, 169.0MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05283143
05532539
135632421
083642310
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
102 → 267
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(+.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 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(literal -1/2 binary32)
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 2))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx 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 (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 (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow 2 -1/2) 2)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))))))) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (+ (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* x (+ (* -5/192 (/ (pow (pow 2 -1/2) 2) (pow s 3))) (* -1/64 (/ (pow (pow 2 -1/2) 2) (pow s 3)))))))))) (pow (pow 2 -1/2) 2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow 2 -1/2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* -1/32 (/ (* x (pow 2 -1/2)) (pow s 2))) (* 1/4 (/ (pow 2 -1/2) s)))) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* 1/4 (/ (pow 2 -1/2) s)) (* x (+ (* -1/32 (/ (pow 2 -1/2) (pow s 2))) (* -5/384 (/ (* x (pow 2 -1/2)) (pow s 3))))))) (pow 2 -1/2))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#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 (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow (+ 1 (exp (* -1 (/ x s)))) -1/2) 2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) -1/2)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 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 (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (pow (pow 2 -1/2) 2))))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))) (pow s 3))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 2 (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow (pow 2 -1/2) 2)) (pow s 3))) (pow (pow 2 -1/2) 2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (pow 2 -1/2)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (+ (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow 2 -1/2)) (pow s 3)) (pow 2 -1/2))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 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 (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) (* 2 (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow (pow 2 -1/2) 2)))) s)) (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow 2 -1/2)) s)) (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2))) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2))))
Outputs
(*.f32 (fabs.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (neg.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.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) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(pow.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (*.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1/2 binary32)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1/2 binary32)) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1/2 binary32) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
#s(literal 1 binary32)
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))
(fma.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
(*.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
(*.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)))
(*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (exp.f32 #s(literal -1/2 binary32)) (exp.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 1 binary32)))
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) #s(literal -1/2 binary32))
(+.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.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)
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) #s(literal -1 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 x s) (/.f32 x s)))) (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))
(/.f32 (neg.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) (neg.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 x x)) (*.f32 (*.f32 s s) s)))) (neg.f32 (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))))
(/.f32 (neg.f32 (+.f32 (/.f32 (*.f32 (neg.f32 x) (*.f32 x x)) (*.f32 (*.f32 s s) s)) #s(literal 8 binary32))) (neg.f32 (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
(/.f32 (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 x s) (/.f32 x s))) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))
(/.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(/.f32 (+.f32 #s(literal 8 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 x x)) (*.f32 (*.f32 s s) s))) (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 (/.f32 (*.f32 (neg.f32 x) (*.f32 x x)) (*.f32 (*.f32 s s) s)) #s(literal 8 binary32)) (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)))
(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))
(*.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 x #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) x)
(neg.f32 x)
#s(literal 2 binary32)
(*.f32 (fabs.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (neg.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.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) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(pow.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (*.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1/2 binary32)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1/2 binary32)) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1/2 binary32) (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))
(fma.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
(*.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
(*.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)))
(*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
(exp.f32 (/.f32 (neg.f32 x) s))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
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(*.f32 (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
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(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
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(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
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(exp.f32 (/.f32 (neg.f32 x) s))
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#s(approx (/ x s) (/.f32 x s))
#s(approx x x)
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#s(approx (neg x) (neg.f32 x))
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#s(approx s s)
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#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 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.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 #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 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) 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))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.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 (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (fma.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) (*.f32 s s)) #s(literal 2 binary32) #s(literal 1/2 binary32)))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (fma.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) x) (*.f32 (*.f32 s s) s)) #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) (*.f32 s s)) #s(literal 2 binary32) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal -1/16 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 s s) s))) #s(literal 2 binary32) #s(literal 1/2 binary32)))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (fma.f32 (/.f32 (*.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) x) s) #s(literal 1/4 binary32) (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (*.f32 s s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (fma.f32 (/.f32 (*.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) x) s) #s(literal 1/4 binary32) (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (*.f32 s s)) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal -1/16 binary32)))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (*.f32 (*.f32 s s) s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32))))))
#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 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #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 (/ (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 (/ 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) #s(literal -1/4 binary32) (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/8 binary32)) (*.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 (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) s) #s(literal -1/2 binary32) (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32))) #s(literal 1/8 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32)))) s) #s(literal -1/4 binary32)))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x)))) 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 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32) (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal 1/2 binary32) (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)))) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) s)) (neg.f32 x)) s)) #s(literal 2 binary32)))
#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 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32) (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal 1/2 binary32) (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)))) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) s)) (neg.f32 x)) s)) #s(literal 1 binary32)))
#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 (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/16 binary32))) s))) s))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal 1/16 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32))) s)) (fma.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/16 binary32)))) s))) s)) #s(literal 1/2 binary32)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) x) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (neg.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) s)))) s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) x) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (neg.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal 1/16 binary32)))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) s)))) s))) s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32))))

eval18.0ms (0.8%)

Memory
30.7MiB live, 30.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 877 to 934 computations (67.5% saved)

prune13.0ms (0.6%)

Memory
-28.0MiB live, 16.1MiB allocated; 5ms collecting garbage
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1925197
Fresh033
Picked145
Done000
Total19312205
Accuracy
99.9%
Counts
205 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
▶99.7%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
▶61.7%
(/.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))))))
✓44.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
44.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
43.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
▶62.9%
(*.f32 (pow.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal -1/2 binary32)))
▶17.1%
#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)))
▶29.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓35.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 335 to 281 computations (16.1% saved)

series159.0ms (7%)

Memory
10.2MiB live, 150.4MiB allocated; 54ms collecting garbage
Counts
42 → 163
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#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)
x
s
#s(literal -1 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))
(/.f32 x s)
#s(literal 1/4 binary32)
#s(literal 1/2 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) (/.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))
#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)))
(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))
(fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))
(*.f32 x x)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
#s(literal -1/48 binary32)
(/.f32 #s(literal 1/4 binary32) s)
(*.f32 (pow.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
(/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.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 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))
#s(literal 3 binary32)
(+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
#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))
#s(literal -1/2 binary32)
Outputs
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg 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 (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (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 (/ x s) #s(hole binary32 (/ x 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 x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (/ (* x x) (* (* s s) s)) #s(hole binary32 (/ (pow x 2) (pow s 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (pow (pow 2 -1/2) 2)))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))))))) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (+ (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* x (+ (* -5/192 (/ (pow (pow 2 -1/2) 2) (pow s 3))) (* -1/64 (/ (pow (pow 2 -1/2) 2) (pow s 3)))))))))) (pow (pow 2 -1/2) 2))))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (pow 2 -1/2)))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (pow 2 -1/2))))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (+ (* x (+ (* -1/32 (/ (* x (pow 2 -1/2)) (pow s 2))) (* 1/4 (/ (pow 2 -1/2) s)))) (pow 2 -1/2))))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (+ (* x (+ (* 1/4 (/ (pow 2 -1/2) s)) (* x (+ (* -1/32 (/ (pow 2 -1/2) (pow s 2))) (* -5/384 (/ (* x (pow 2 -1/2)) (pow s 3))))))) (pow 2 -1/2))))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 2 (* -3 (/ x s)))))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 2 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 1 s)))))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (+ 1 (* -3 (/ x s)))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (+ 1 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 1 s)))))))
#s(approx (* (/ (neg x) s) 3) #s(hole binary32 (* -3 (/ x s))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (* x (- (* 3/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -7/6 (/ x (pow s 3))) (* 3/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -2 (/ x s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))))
#s(approx (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 -1))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (- (/ x s) 1)))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (- (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))) 1)))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (- (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))) 1)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (* (/ x 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 (+ 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 (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (pow (pow (/ (+ 1 (exp (* -3 (/ x s)))) (+ 1 (+ (exp (* -2 (/ x s))) (* -1 (exp (* -1 (/ x s))))))) -1/2) 2)))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (pow (/ (+ 1 (exp (* -3 (/ x s)))) (+ 1 (+ (exp (* -2 (/ x s))) (* -1 (exp (* -1 (/ x s))))))) -1/2)))
#s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) #s(hole binary32 (/ (+ 1 (exp (* -3 (/ x s)))) (+ 1 (+ (exp (* -2 (/ x s))) (* -1 (exp (* -1 (/ x s)))))))))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 1 (exp (* -3 (/ x s))))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (exp (* -3 (/ x s)))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (+ (exp (* -2 (/ x s))) (* -1 (exp (* -1 (/ x s))))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (exp (* -2 (/ x s)))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1 (* -1 (exp (* -1 (/ x s)))))))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (* -1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))))
#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 (+ (/ x s) 1) #s(hole binary32 (/ (+ s x) s)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #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 (- (exp (/ (neg x) s)) -1)) #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 (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 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 (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* -1/2 (/ (* (- (* -3 x) (* 2 (+ x (* -2 x)))) (pow (pow 2 -1/2) 2)) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* -1/2 (/ (* (- (* -3 x) (* 2 (+ x (* -2 x)))) (pow (pow 2 -1/2) 2)) s)) (+ (* 1/16 (/ (* (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 2 (/ (* (+ (* -1/4 (- (+ (* -1/4 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x)))))))) (* 1/32 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (pow (pow 2 -1/2) 2))))))
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#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -9/2 (/ (pow x 2) s)) (* 3 x)) s)))))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -9/2 (/ (pow x 3) s)) (* 9/2 (pow x 2))) s)) (* 3 x)) s)))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -9/2 (/ (pow x 2) s)) (* 3 x)) s)))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9/2 (/ (pow x 3) s)) (* 9/2 (pow x 2))) s)) (* 3 x)) s)))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* 2 x)) s)))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (* 2 (pow x 2))) s)) (* 2 x))) s)))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 3)) (* 4/3 (pow x 3))) s)) (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) s)) (* 2 x))) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))) s))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 3)) (* 1/24 (/ (pow x 4) s))) s)) (* -1/2 (pow x 2))) s))) s))))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (- (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)) 1)))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))) s)) 1)))
Calls

6 calls:

TimeVariablePointExpression
49.0ms
x
@inf
((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 1/2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (- (exp (* (/ (neg x) s) 3)) -1) (exp (* (/ (neg x) s) 3)) (* (/ (neg x) s) 3) 3 (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) (exp (* (/ (neg x) s) 2)) (* (/ (neg x) s) 2) 2 (+ 1 (* (exp (/ (neg x) s)) -1)) (* (exp (/ (neg x) s)) -1) -1/2)
49.0ms
s
@0
((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 1/2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (- (exp (* (/ (neg x) s) 3)) -1) (exp (* (/ (neg x) s) 3)) (* (/ (neg x) s) 3) 3 (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) (exp (* (/ (neg x) s) 2)) (* (/ (neg x) s) 2) 2 (+ 1 (* (exp (/ (neg x) s)) -1)) (* (exp (/ (neg x) s)) -1) -1/2)
26.0ms
x
@-inf
((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 1/2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (- (exp (* (/ (neg x) s) 3)) -1) (exp (* (/ (neg x) s) 3)) (* (/ (neg x) s) 3) 3 (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) (exp (* (/ (neg x) s) 2)) (* (/ (neg x) s) 2) 2 (+ 1 (* (exp (/ (neg x) s)) -1)) (* (exp (/ (neg x) s)) -1) -1/2)
13.0ms
s
@-inf
((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 1/2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (- (exp (* (/ (neg x) s) 3)) -1) (exp (* (/ (neg x) s) 3)) (* (/ (neg x) s) 3) 3 (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) (exp (* (/ (neg x) s) 2)) (* (/ (neg x) s) 2) 2 (+ 1 (* (exp (/ (neg x) s)) -1)) (* (exp (/ (neg x) s)) -1) -1/2)
11.0ms
s
@inf
((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 1/2 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (- (exp (* (/ (neg x) s) 3)) -1) (exp (* (/ (neg x) s) 3)) (* (/ (neg x) s) 3) 3 (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) (exp (* (/ (neg x) s) 2)) (* (/ (neg x) s) 2) 2 (+ 1 (* (exp (/ (neg x) s)) -1)) (* (exp (/ (neg x) s)) -1) -1/2)

rewrite238.0ms (10.6%)

Memory
40.5MiB live, 219.4MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09998698
010526393
168126393
090726044
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
205 → 375
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#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)
x
s
#s(literal -1 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))
(/.f32 x s)
#s(literal 1/4 binary32)
#s(literal 1/2 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) (/.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))
#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)))
(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))
(fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))
(*.f32 x x)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
#s(literal -1/48 binary32)
(/.f32 #s(literal 1/4 binary32) s)
(*.f32 (pow.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
(/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.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 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))
#s(literal 3 binary32)
(+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
#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))
#s(literal -1/2 binary32)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg 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 (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (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 (/ x s) #s(hole binary32 (/ x 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 x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (/ (* x x) (* (* s s) s)) #s(hole binary32 (/ (pow x 2) (pow s 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (pow (pow 2 -1/2) 2)))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))))))) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (+ (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* x (+ (* -5/192 (/ (pow (pow 2 -1/2) 2) (pow s 3))) (* -1/64 (/ (pow (pow 2 -1/2) 2) (pow s 3)))))))))) (pow (pow 2 -1/2) 2))))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (pow 2 -1/2)))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (pow 2 -1/2))))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (+ (* x (+ (* -1/32 (/ (* x (pow 2 -1/2)) (pow s 2))) (* 1/4 (/ (pow 2 -1/2) s)))) (pow 2 -1/2))))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (+ (* x (+ (* 1/4 (/ (pow 2 -1/2) s)) (* x (+ (* -1/32 (/ (pow 2 -1/2) (pow s 2))) (* -5/384 (/ (* x (pow 2 -1/2)) (pow s 3))))))) (pow 2 -1/2))))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 2 (* -3 (/ x s)))))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 2 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 1 s)))))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (+ 1 (* -3 (/ x s)))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (+ 1 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 1 s)))))))
#s(approx (* (/ (neg x) s) 3) #s(hole binary32 (* -3 (/ x s))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (* x (- (* 3/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -7/6 (/ x (pow s 3))) (* 3/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -2 (/ x s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))))
#s(approx (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 -1))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (- (/ x s) 1)))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (- (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))) 1)))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (- (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))) 1)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (* (/ x 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 (+ 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 (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (pow (pow (/ (+ 1 (exp (* -3 (/ x s)))) (+ 1 (+ (exp (* -2 (/ x s))) (* -1 (exp (* -1 (/ x s))))))) -1/2) 2)))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (pow (/ (+ 1 (exp (* -3 (/ x s)))) (+ 1 (+ (exp (* -2 (/ x s))) (* -1 (exp (* -1 (/ x s))))))) -1/2)))
#s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) #s(hole binary32 (/ (+ 1 (exp (* -3 (/ x s)))) (+ 1 (+ (exp (* -2 (/ x s))) (* -1 (exp (* -1 (/ x s)))))))))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 1 (exp (* -3 (/ x s))))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (exp (* -3 (/ x s)))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (+ (exp (* -2 (/ x s))) (* -1 (exp (* -1 (/ x s))))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (exp (* -2 (/ x s)))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1 (* -1 (exp (* -1 (/ x s)))))))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (* -1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))))
#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 (+ (/ x s) 1) #s(hole binary32 (/ (+ s x) s)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #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 (- (exp (/ (neg x) s)) -1)) #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 (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 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 (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* -1/2 (/ (* (- (* -3 x) (* 2 (+ x (* -2 x)))) (pow (pow 2 -1/2) 2)) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* -1/2 (/ (* (- (* -3 x) (* 2 (+ x (* -2 x)))) (pow (pow 2 -1/2) 2)) s)) (+ (* 1/16 (/ (* (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 2 (/ (* (+ (* -1/4 (- (+ (* -1/4 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x)))))))) (* 1/32 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (pow (pow 2 -1/2) 2))))))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* -1/2 (/ (* (+ (* -1/4 (- (+ (* -1/4 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x)))))))) (* 1/32 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2))) (* (- (* -3 x) (* 2 (+ x (* -2 x)))) (pow (pow 2 -1/2) 2))) (pow s 3))) (+ (* -1/2 (/ (* (- (* -3 x) (* 2 (+ x (* -2 x)))) (pow (pow 2 -1/2) 2)) s)) (+ (* 1/16 (/ (* (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 2 (/ (* (+ (* -1/4 (- (+ (* -1/4 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x)))))))) (* 1/32 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 2 (/ (* (+ (* -1/12 (+ (* -3/2 (* (- (* -3 x) (* 2 (+ x (* -2 x)))) (- (* 9/2 (pow x 2)) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x))))))))) (+ (* 1/4 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 3)) (* 3 (- (* -9/2 (pow x 3)) (+ (* 2 (+ (* -4/3 (pow x 3)) (* 1/6 (pow x 3)))) (+ (* (+ x (* -2 x)) (- (* 9/2 (pow x 2)) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x)))))))) (* (+ (* -1/2 (pow x 2)) (* 2 (pow x 2))) (- (* -3 x) (* 2 (+ x (* -2 x)))))))))))) (+ (* -1/384 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 3)) (* 1/16 (* (- (* -3 x) (* 2 (+ x (* -2 x)))) (- (+ (* -1/4 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x))))))))))) (pow (pow 2 -1/2) 2)) (pow s 3))) (pow (pow 2 -1/2) 2))))))))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (+ (* -1/4 (/ (* (- (* -3 x) (* 2 (+ x (* -2 x)))) (pow 2 -1/2)) s)) (pow 2 -1/2))))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (+ (* -1/4 (/ (* (- (* -3 x) (* 2 (+ x (* -2 x)))) (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (- (+ (* -1/4 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x)))))))) (* 1/32 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2))) (pow 2 -1/2)) (pow s 2)) (pow 2 -1/2)))))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (+ (* -1/4 (/ (* (- (* -3 x) (* 2 (+ x (* -2 x)))) (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (- (+ (* -1/4 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x)))))))) (* 1/32 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2))) (pow 2 -1/2)) (pow s 2)) (+ (/ (* (+ (* -1/12 (+ (* -3/2 (* (- (* -3 x) (* 2 (+ x (* -2 x)))) (- (* 9/2 (pow x 2)) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x))))))))) (+ (* 1/4 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 3)) (* 3 (- (* -9/2 (pow x 3)) (+ (* 2 (+ (* -4/3 (pow x 3)) (* 1/6 (pow x 3)))) (+ (* (+ x (* -2 x)) (- (* 9/2 (pow x 2)) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x)))))))) (* (+ (* -1/2 (pow x 2)) (* 2 (pow x 2))) (- (* -3 x) (* 2 (+ x (* -2 x)))))))))))) (+ (* -1/384 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 3)) (* 1/16 (* (- (* -3 x) (* 2 (+ x (* -2 x)))) (- (+ (* -1/4 (pow (- (* -3 x) (* 2 (+ x (* -2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x))))))))))) (pow 2 -1/2)) (pow s 3)) (pow 2 -1/2))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) #s(hole binary32 (- (+ 2 (* -3 (/ x s))) (* 2 (/ (+ x (* -2 x)) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) #s(hole binary32 (- (+ 2 (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2))))) (+ (* 2 (/ (+ x (* -2 x)) s)) (+ (* 2 (/ (+ (* -1/2 (pow x 2)) (* 2 (pow x 2))) (pow s 2))) (/ (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x))))) (pow s 2)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) #s(hole binary32 (- (+ 2 (+ (* -9/2 (/ (pow x 3) (pow s 3))) (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2)))))) (+ (* 2 (/ (+ x (* -2 x)) s)) (+ (* 2 (/ (+ (* -4/3 (pow x 3)) (* 1/6 (pow x 3))) (pow s 3))) (+ (* 2 (/ (+ (* -1/2 (pow x 2)) (* 2 (pow x 2))) (pow s 2))) (+ (/ (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x))))) (pow s 2)) (+ (/ (* (+ x (* -2 x)) (- (* 9/2 (pow x 2)) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ x (* -2 x)) (- (* -3 x) (* 2 (+ x (* -2 x)))))))) (pow s 3)) (/ (* (+ (* -1/2 (pow x 2)) (* 2 (pow x 2))) (- (* -3 x) (* 2 (+ x (* -2 x))))) (pow s 3))))))))))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 2 (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 2 (+ (* -9/2 (/ (pow x 3) (pow s 3))) (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (+ 1 (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (+ 1 (+ (* -9/2 (/ (pow x 3) (pow s 3))) (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (/ x s)))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ x s)))))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ x s)))))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ (+ x (+ (* -1/2 (/ (pow x 2) s)) (* 1/6 (/ (pow x 3) (pow s 2))))) s)))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ (+ x (+ (* -1/2 (/ (pow x 2) s)) (+ (* -1/24 (/ (pow x 4) (pow s 3))) (* 1/6 (/ (pow x 3) (pow s 2)))))) s)))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (- (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ x s)) 1)))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (- (+ (* -1/2 (/ (pow x 2) (pow s 2))) (+ (* 1/6 (/ (pow x 3) (pow s 3))) (/ x s))) 1)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #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 (- (exp (/ (neg x) s)) -1)) #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 (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 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 (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* 1/2 (/ (* (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) (pow (pow 2 -1/2) 2)) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (- (+ (* -1/4 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))))))) (* 1/32 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2))) (pow (pow 2 -1/2) 2)))) s)) (* -1/2 (* (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ (* -1/4 (- (+ (* -1/4 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))))))) (* 1/32 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2))) (* (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) (pow (pow 2 -1/2) 2)))) (* 2 (* (+ (* -1/12 (+ (* -3/2 (* (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) (- (* 9/2 (pow x 2)) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x))))))))) (+ (* 1/4 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 3)) (* 3 (- (* 9/2 (pow x 3)) (+ (* 2 (+ (* -1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* (+ (* -1 x) (* 2 x)) (- (* 9/2 (pow x 2)) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))))))) (* (+ (* -1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))))))))))) (+ (* -1/384 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 3)) (* 1/16 (* (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) (- (+ (* -1/4 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x))))))))))) (pow (pow 2 -1/2) 2)))) s)) (+ (* 1/16 (* (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (- (+ (* -1/4 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))))))) (* 1/32 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2))) (pow (pow 2 -1/2) 2))))) s)) (* -1/2 (* (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) (pow 2 -1/2)) s)) (pow 2 -1/2))))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 (- (+ (* -1/4 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))))))) (* 1/32 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2))) (pow 2 -1/2)) s)) (* -1/4 (* (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) (pow 2 -1/2)))) s)) (pow 2 -1/2))))
#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/12 (+ (* -3/2 (* (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) (- (* 9/2 (pow x 2)) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x))))))))) (+ (* 1/4 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 3)) (* 3 (- (* 9/2 (pow x 3)) (+ (* 2 (+ (* -1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* (+ (* -1 x) (* 2 x)) (- (* 9/2 (pow x 2)) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))))))) (* (+ (* -1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))))))))))) (+ (* -1/384 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 3)) (* 1/16 (* (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) (- (+ (* -1/4 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x))))))))))) (pow 2 -1/2)) s)) (* (+ (* -1/4 (- (+ (* -1/4 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))))))) (* 1/32 (pow (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) 2))) (pow 2 -1/2))) s)) (* -1/4 (* (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) (pow 2 -1/2)))) s)) (pow 2 -1/2))))
#s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 9/2 (pow x 2)) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x))))))) s)) (* 3 x)) (* 2 (+ (* -1 x) (* 2 x)))) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 9/2 (pow x 3)) (+ (* 2 (+ (* -1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* (+ (* -1 x) (* 2 x)) (- (* 9/2 (pow x 2)) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))))))) (* (+ (* -1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x)))))))) s)) (* 9/2 (pow x 2))) (+ (* 2 (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) (* (+ (* -1 x) (* 2 x)) (- (* 3 x) (* 2 (+ (* -1 x) (* 2 x))))))) s)) (* 3 x)) (* 2 (+ (* -1 x) (* 2 x)))) s)))))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -9/2 (/ (pow x 2) s)) (* 3 x)) s)))))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -9/2 (/ (pow x 3) s)) (* 9/2 (pow x 2))) s)) (* 3 x)) s)))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -9/2 (/ (pow x 2) s)) (* 3 x)) s)))))
#s(approx (exp (* (/ (neg x) s) 3)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9/2 (/ (pow x 3) s)) (* 9/2 (pow x 2))) s)) (* 3 x)) s)))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* 2 x)) s)))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (* 2 (pow x 2))) s)) (* 2 x))) s)))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 3)) (* 4/3 (pow x 3))) s)) (+ (* -1/2 (pow x 2)) (* 2 (pow x 2)))) s)) (* 2 x))) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))) s))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 3)) (* 1/24 (/ (pow x 4) s))) s)) (* -1/2 (pow x 2))) s))) s))))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (- (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)) 1)))
#s(approx (* (exp (/ (neg x) s)) -1) #s(hole binary32 (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))) s)) 1)))
Outputs
(*.f32 (pow.f32 (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)) (pow.f32 (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(*.f32 (fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (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 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 3 binary32)) s)) #s(literal -1 binary32))) (neg.f32 (+.f32 (+.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) #s(literal 1 binary32)) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (-.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 3 binary32)) s)) #s(literal -1 binary32)) (+.f32 (+.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) #s(literal 1 binary32)) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (/.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 3 binary32)) s)) (+.f32 (+.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) #s(literal 1 binary32)) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (/.f32 #s(literal -1 binary32) (+.f32 (+.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) #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 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(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))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)) (*.f32 #s(literal -2 binary32) (/.f32 x s))) (*.f32 (/.f32 x s) (/.f32 x s))) (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)) (/.f32 x s)))
(/.f32 (fma.f32 #s(literal -8 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s))) (fma.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)) (*.f32 #s(literal -2 binary32) (/.f32 x s)) (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)) (/.f32 x s)))))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) s)
(fma.f32 #s(literal -2 binary32) (/.f32 x s) (/.f32 x s))
(fma.f32 (/.f32 x s) #s(literal -2 binary32) (/.f32 x s))
(+.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)) (/.f32 x s))
(+.f32 (/.f32 x s) (*.f32 #s(literal -2 binary32) (/.f32 x s)))
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(/.f32 (-.f32 (*.f32 x x) (*.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal -2 binary32) x))) (-.f32 x (*.f32 #s(literal -2 binary32) x)))
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(/.f32 (*.f32 (neg.f32 x) #s(literal 3 binary32)) s)
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#s(approx s s)
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#s(approx (* s s) (*.f32 s s))
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#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)))
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#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/2 binary32)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s))
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#s(approx (pow (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) -1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32))))) (pow.f32 #s(literal 2 binary32) #s(literal -1/2 binary32)) (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32))))) #s(literal 1/32 binary32) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32))))) #s(literal -1/4 binary32) (-.f32 (*.f32 #s(literal 9/2 binary32) (*.f32 x x)) (fma.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) (*.f32 x #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal 2 binary32))))) #s(literal -1/4 binary32))) (pow.f32 #s(literal 2 binary32) #s(literal -1/2 binary32)) (neg.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -3/2 binary32) (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32))))) (-.f32 (*.f32 #s(literal 9/2 binary32) (*.f32 x x)) (fma.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) (*.f32 x #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal 2 binary32)))) (fma.f32 (pow.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) #s(literal 3 binary32)) #s(literal 1/4 binary32) (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 9/2 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 7/6 binary32)) #s(literal 2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 9/2 binary32) (*.f32 x x)) (fma.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) (*.f32 x #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal 2 binary32)))) (*.f32 x #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) (*.f32 (*.f32 x x) #s(literal 3/2 binary32)))))) #s(literal 3 binary32)))) #s(literal -1/12 binary32) (fma.f32 (*.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32))))) (fma.f32 (*.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32))))) #s(literal -1/4 binary32) (-.f32 (*.f32 #s(literal 9/2 binary32) (*.f32 x x)) (fma.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) (*.f32 x #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal 2 binary32))))) (*.f32 (pow.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) #s(literal 3 binary32)) #s(literal -1/384 binary32)))) (/.f32 (pow.f32 #s(literal 2 binary32) #s(literal -1/2 binary32)) s)))) s))) s)) (pow.f32 #s(literal 2 binary32) #s(literal -1/2 binary32))))
#s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) s)) #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 3 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 9/2 binary32) (*.f32 x x)) (fma.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) (*.f32 x #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal 2 binary32)))) s))) (*.f32 (*.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) s)) #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 3 binary32) x (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 9/2 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 9/2 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 7/6 binary32)) #s(literal 2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 9/2 binary32) (*.f32 x x)) (fma.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) (*.f32 x #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal 2 binary32)))) (*.f32 x #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) (*.f32 (*.f32 x x) #s(literal 3/2 binary32)))))) s))) (fma.f32 (fma.f32 #s(literal 3 binary32) x (*.f32 #s(literal -2 binary32) (*.f32 x #s(literal 1 binary32)))) (*.f32 x #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 3/2 binary32)) #s(literal 2 binary32)))) s))) (*.f32 (*.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) s)) #s(literal 2 binary32)))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -9/2 binary32) (*.f32 #s(literal 3 binary32) x)) s)) #s(literal 2 binary32)))
#s(approx (- (exp (* (/ (neg x) s) 3)) -1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 3 binary32) x (neg.f32 (/.f32 (fma.f32 #s(literal 9/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -9/2 binary32))) s))) s))))
#s(approx (exp (* (/ (neg x) s) 3)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -9/2 binary32) (*.f32 #s(literal 3 binary32) x)) s)) #s(literal 1 binary32)))
#s(approx (exp (* (/ (neg x) s) 3)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 3 binary32) x (neg.f32 (/.f32 (fma.f32 #s(literal 9/2 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -9/2 binary32))) s))) s))))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) (+.f32 (neg.f32 (/.f32 (*.f32 x #s(literal 1 binary32)) s)) #s(literal 1 binary32)))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 x) (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 3/2 binary32)) s)))) s)) #s(literal 1 binary32)))
#s(approx (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 3/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 7/6 binary32)) s))) s))) (neg.f32 x)) s))))
#s(approx (exp (* (/ (neg x) s) 2)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32) (+.f32 x x)) s)) #s(literal 1 binary32)))
#s(approx (exp (* (/ (neg x) s) 2)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -4/3 binary32))) s))) s))))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s)))
#s(approx (+ 1 (* (exp (/ (neg x) s)) -1)) (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 (* (exp (/ (neg x) s)) -1)) (neg.f32 (/.f32 (+.f32 (neg.f32 x) (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s) #s(literal 1/24 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32))) s))) s))) s)))
#s(approx (* (exp (/ (neg x) s)) -1) (-.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 (/ (neg x) s)) -1) (-.f32 (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(literal 1 binary32)))

eval47.0ms (2.1%)

Memory
-22.1MiB live, 67.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 10 485 to 2 352 computations (77.6% saved)

prune11.0ms (0.5%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New3686374
Fresh033
Picked235
Done224
Total37214386
Accuracy
99.9%
Counts
386 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
▶99.7%
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
99.7%
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
✓99.7%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
✓61.7%
(/.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))))))
✓44.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
▶44.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
43.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
62.9%
(*.f32 (pow.f32 #s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (/.f32 (+.f32 (exp.f32 (*.f32 #s(literal -3 binary32) (/.f32 x s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (/.f32 (+.f32 (exp.f32 (*.f32 #s(literal -3 binary32) (/.f32 x s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) #s(literal -1/2 binary32)))
✓29.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶21.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
29.7%
#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)))
▶7.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
✓35.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 478 to 395 computations (17.4% saved)

series34.0ms (1.5%)

Memory
-14.7MiB live, 41.6MiB allocated; 8ms collecting garbage
Counts
36 → 87
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
(/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)
(fma.f32 #s(literal 2 binary32) s (neg.f32 x))
#s(literal 2 binary32)
(neg.f32 x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
(fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s))
(/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32))
(/.f32 (*.f32 x x) (*.f32 s s))
(*.f32 x x)
(*.f32 s s)
#s(literal -1/48 binary32)
#s(literal 1/2 binary32)
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.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)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
Outputs
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (pow (exp -1) (/ 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 (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 2))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* 2 s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 1/4))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))))
#s(approx (/ (* x x) (* s s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (pow (sqrt 1/2) 2)))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* 1/4 (/ x s)) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* x (+ (* (pow x 2) (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (+ (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3)))))) (* 1/4 (/ 1 s)))) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* x (+ (* (pow x 2) (- (* x (+ (* -1 (+ (* 1/8 (/ (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3)))) (* s (pow (sqrt 1/2) 2)))) (* 1/16384 (/ 1 (* (pow s 4) (pow (sqrt 1/2) 6)))))) (+ (* 1/16384 (/ 1 (* (pow s 4) (pow (sqrt 1/2) 6)))) (* 1/8 (/ (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3)))) (* s (pow (sqrt 1/2) 2))))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))) (pow (sqrt 1/2) 2))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (sqrt 1/2)))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (pow (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) 2)))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))))
#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 (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (- (* 2 s) x)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #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 (- (pow (exp -1) (/ x s)) -1)) #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 (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (pow s 2))) (+ (* 1/64 (/ (pow x 2) (* (pow s 2) (pow (sqrt 1/2) 2)))) (+ (* 1/4 (/ x s)) (pow (sqrt 1/2) 2))))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -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 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (pow s 2))) (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (* (pow s 3) (pow (sqrt 1/2) 2)))) (+ (* 1/64 (/ (pow x 2) (* (pow s 2) (pow (sqrt 1/2) 2)))) (+ (* 1/4 (/ x s)) (pow (sqrt 1/2) 2))))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -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) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #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 (- (pow (exp -1) (/ x s)) -1)) #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 (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2)))) s)) (* -1/4 x)) s)) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))))))) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))) s)) (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))))) s)) (* -1/4 x)) s)) (pow (sqrt 1/2) 2))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s))
5.0ms
x
@inf
((/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s))
5.0ms
x
@0
((/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s))
5.0ms
s
@inf
((/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s))
4.0ms
s
@-inf
((/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s))

rewrite163.0ms (7.2%)

Memory
-15.1MiB live, 170.5MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05113260
05442832
130782770
083322627
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
123 → 335
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
(/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)
(fma.f32 #s(literal 2 binary32) s (neg.f32 x))
#s(literal 2 binary32)
(neg.f32 x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
(fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s))
(/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32))
(/.f32 (*.f32 x x) (*.f32 s s))
(*.f32 x x)
(*.f32 s s)
#s(literal -1/48 binary32)
#s(literal 1/2 binary32)
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.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)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (pow (exp -1) (/ 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 (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 2))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* 2 s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 1/4))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))))
#s(approx (/ (* x x) (* s s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (pow (sqrt 1/2) 2)))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* 1/4 (/ x s)) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* x (+ (* (pow x 2) (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (+ (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3)))))) (* 1/4 (/ 1 s)))) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* x (+ (* (pow x 2) (- (* x (+ (* -1 (+ (* 1/8 (/ (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3)))) (* s (pow (sqrt 1/2) 2)))) (* 1/16384 (/ 1 (* (pow s 4) (pow (sqrt 1/2) 6)))))) (+ (* 1/16384 (/ 1 (* (pow s 4) (pow (sqrt 1/2) 6)))) (* 1/8 (/ (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3)))) (* s (pow (sqrt 1/2) 2))))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))) (pow (sqrt 1/2) 2))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (sqrt 1/2)))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (pow (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) 2)))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))))
#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 (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (- (* 2 s) x)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #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 (- (pow (exp -1) (/ x s)) -1)) #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 (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (pow s 2))) (+ (* 1/64 (/ (pow x 2) (* (pow s 2) (pow (sqrt 1/2) 2)))) (+ (* 1/4 (/ x s)) (pow (sqrt 1/2) 2))))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -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 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (pow s 2))) (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (* (pow s 3) (pow (sqrt 1/2) 2)))) (+ (* 1/64 (/ (pow x 2) (* (pow s 2) (pow (sqrt 1/2) 2)))) (+ (* 1/4 (/ x s)) (pow (sqrt 1/2) 2))))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -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) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #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 (- (pow (exp -1) (/ x s)) -1)) #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 (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2)))) s)) (* -1/4 x)) s)) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))))))) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))) s)) (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))))) s)) (* -1/4 x)) s)) (pow (sqrt 1/2) 2))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))))
Outputs
(*.f32 (fabs.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (fabs.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(*.f32 (exp.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) (exp.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.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)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (sqrt.f32 (-.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) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (exp.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.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)))) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (*.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32))) (sinh.f32 (*.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32)))
#s(literal 1 binary32)
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.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 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.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))
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(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) s)
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#s(approx (+ (* 2 s) (neg x)) (*.f32 (-.f32 (/.f32 (+.f32 s s) x) #s(literal 1 binary32)) x))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 (*.f32 x x) x)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 (*.f32 x x) x)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (*.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x)))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32)))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/48 binary32) (*.f32 s s))) (*.f32 x x)))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
#s(approx (+ (/ (neg x) s) 2) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx (+ (* 2 s) (neg x)) (neg.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 s x) #s(literal 1 binary32)) x)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (*.f32 (*.f32 (*.f32 x x) (neg.f32 x)) (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (*.f32 (*.f32 (*.f32 x x) (neg.f32 x)) (+.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) (*.f32 x x))))))
#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 (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
#s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (*.f32 (*.f32 s s) x) #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32))) (*.f32 (*.f32 s s) s)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32))) (*.f32 (*.f32 s s) s)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (*.f32 (*.f32 s s) s)))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (*.f32 s s)))
#s(approx (* s s) (*.f32 s s))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) (-.f32 (+.f32 (neg.f32 (*.f32 (*.f32 x (/.f32 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 (- (pow (exp -1) (/ 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 x (/.f32 x (*.f32 s s))) #s(literal 0 binary32))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) (+.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (- (pow (exp -1) (/ x s)) -1) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (pow (exp -1) (/ x s)) (+.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ 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 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (+ (* 2 s) (neg x)) (*.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) s))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) #s(literal 1/64 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 (neg.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32))))) (*.f32 s s))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) (+.f32 (+.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) x) (*.f32 (*.f32 (*.f32 s s) s) #s(literal 1/2 binary32))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) #s(literal 1/64 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (/.f32 (neg.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32))))) (*.f32 s s))) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) x) #s(literal 1/2 binary32)) #s(literal -1/8 binary32) (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)))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) (+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal -1/2 binary32) (*.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) (+.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) x) #s(literal 1/2 binary32)) #s(literal -1/8 binary32) (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 (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 (*.f32 s s) s))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal -1/2 binary32) (*.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))))
#s(approx (/ 1 (- (pow (exp -1) (/ 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 (- (pow (exp -1) (/ x s)) -1)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #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 (- (pow (exp -1) (/ 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 (- (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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))))
#s(approx (+ (* 2 s) (neg x)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/48 binary32)) #s(literal 1/4 binary32)) s)))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32) (neg.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))))) s))) s))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) x (neg.f32 (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) x) #s(literal 1/2 binary32)) #s(literal 1/8 binary32) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) x) #s(literal 1/2 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x))))))) s))) (neg.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))))) s))) s)) #s(literal 1/2 binary32)))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/2 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32))) s)) (sqrt.f32 #s(literal 1/2 binary32))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) x) #s(literal 1/2 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x))))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32))))) (sqrt.f32 #s(literal 1/2 binary32)))) s))) s)) (sqrt.f32 #s(literal 1/2 binary32))))

eval26.0ms (1.2%)

Memory
43.3MiB live, 43.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 395 to 1 455 computations (57.1% saved)

prune14.0ms (0.6%)

Memory
-23.8MiB live, 21.5MiB allocated; 4ms collecting garbage
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New2532255
Fresh044
Picked145
Done055
Total25415269
Accuracy
99.9%
Counts
269 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
✓99.7%
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
99.7%
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
✓99.7%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
✓61.7%
(/.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))))))
✓44.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
44.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x)) s))))
44.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (*.f32 (-.f32 (/.f32 (+.f32 s s) x) #s(literal 1 binary32)) x)) s))))
43.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
62.9%
(*.f32 (pow.f32 #s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (/.f32 (+.f32 (exp.f32 (*.f32 #s(literal -3 binary32) (/.f32 x s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (/.f32 (+.f32 (exp.f32 (*.f32 #s(literal -3 binary32) (/.f32 x s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) #s(literal -1/2 binary32)))
✓29.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓21.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
29.7%
#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)))
✓7.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
✓35.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 578 to 403 computations (30.3% saved)

regimes38.0ms (1.7%)

Memory
8.9MiB live, 55.1MiB allocated; 2ms collecting garbage
Counts
22 → 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 (/.f32 x s) #s(literal 1/4 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 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.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 (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (*.f32 (-.f32 (/.f32 (+.f32 s s) x) #s(literal 1 binary32)) x)) 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
#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)))
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 #s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (/.f32 (+.f32 (exp.f32 (*.f32 #s(literal -3 binary32) (/.f32 x s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (/ (- (exp (* (/ (neg x) s) 3)) -1) (+ (exp (* (/ (neg x) s) 2)) (+ 1 (* (exp (/ (neg x) s)) -1)))) (/.f32 (+.f32 (exp.f32 (*.f32 #s(literal -3 binary32) (/.f32 x s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal -1/2 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
Calls

7 calls:

6.0ms
s
6.0ms
(neg.f32 x)
6.0ms
x
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.7%1(neg.f32 x)
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1x
99.7%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes30.0ms (1.3%)

Memory
-2.4MiB live, 43.9MiB allocated; 2ms collecting garbage
Counts
16 → 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 (/.f32 x s) #s(literal 1/4 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 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.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 (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (*.f32 (-.f32 (/.f32 (+.f32 s s) x) #s(literal 1 binary32)) x)) 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
#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)))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
Calls

7 calls:

5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms
s
5.0ms
x
4.0ms
(neg.f32 x)
4.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.7%1(neg.f32 x)
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1x
99.7%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes50.0ms (2.2%)

Memory
-11.3MiB live, 34.6MiB allocated; 49ms 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 (/.f32 x s) #s(literal 1/4 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 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.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 (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (*.f32 (-.f32 (/.f32 (+.f32 s s) x) #s(literal 1 binary32)) x)) s))))
Outputs
(/.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 (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x)) s))))
Calls

7 calls:

32.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(neg.f32 x)
3.0ms
s
3.0ms
x
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
77.3%2(neg.f32 x)
77.3%2(/.f32 (neg.f32 x) s)
77.3%2(exp.f32 (/.f32 (neg.f32 x) s))
77.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
77.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
77.3%2x
61.7%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes16.0ms (0.7%)

Memory
27.7MiB live, 27.7MiB allocated; 0ms collecting garbage
Counts
7 → 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 (/.f32 x s) #s(literal 1/4 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 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
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 (+ (/ (neg x) s) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (-.f32 (+.f32 s s) x)) s))))
Calls

7 calls:

3.0ms
s
2.0ms
x
2.0ms
(neg.f32 x)
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
44.1%1s
52.1%2(neg.f32 x)
52.1%2x
52.6%2(/.f32 (neg.f32 x) s)
52.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
52.6%2(exp.f32 (/.f32 (neg.f32 x) s))
52.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes7.0ms (0.3%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
5 → 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 (/.f32 x s) #s(literal 1/4 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 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#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)))
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 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
Calls

4 calls:

2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.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))))
1.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
52.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
52.6%2(/.f32 (neg.f32 x) s)
52.6%2(exp.f32 (/.f32 (neg.f32 x) s))
52.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes17.0ms (0.7%)

Memory
-22.0MiB live, 18.8MiB allocated; 8ms collecting garbage
Accuracy

Total -9.1b remaining (-44.2%)

Threshold costs -9.1b (-44.2%)

Counts
3 → 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 (/.f32 x s) #s(literal 1/4 binary32))))
#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))
Calls

7 calls:

8.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
1.0ms
s
1.0ms
(neg.f32 x)
1.0ms
x
1.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
35.7%1s
35.7%1x
35.7%1(neg.f32 x)
35.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
35.7%1(/.f32 (neg.f32 x) s)
35.7%1(exp.f32 (/.f32 (neg.f32 x) s))
35.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.9999799728393555
1.999983310699463
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0370680093765259
1.523722767829895
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0370680093765259
1.523722767829895
Compiler

Compiled 12 to 14 computations (-16.7% saved)

derivations187.0ms (8.3%)

Memory
-7.4MiB live, 126.5MiB allocated; 27ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 68 to 52 computations (23.5% saved)

preprocess32.0ms (1.4%)

Memory
25.2MiB live, 70.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 77 to 60 computations (22.1% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...