Logistic function

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze107.0ms (3.2%)

Memory
6.9MiB live, 87.2MiB allocated; 196ms 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)

sample843.0ms (25%)

Memory
62.5MiB live, 750.4MiB allocated; 773ms collecting garbage
Samples
383.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 226.0ms
ival-div!: 90.0ms (39.9% of total)
ival-exp: 66.0ms (29.2% of total)
ival-neg: 46.0ms (20.4% of total)
ival-add!: 21.0ms (9.3% of total)
adjust: 1.0ms (0.4% of total)
ival-<=: 1.0ms (0.4% of total)
ival-and: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess47.0ms (1.4%)

Memory
-2.0MiB live, 41.6MiB allocated; 24ms 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
▶99.8%
(/.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)

series182.0ms (5.4%)

Memory
-10.0MiB live, 35.7MiB allocated; 9ms 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 (+ (* x (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* x (- (+ (* 1/8 (/ 1 (pow s 2))) (* x (- (* 1/24 (/ 1 (pow s 3))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2)))) s)) (* 1/16 (/ 1 (pow s 3))))))) (* 1/8 (/ 1 (pow s 2))))) (* 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
169.0ms
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)
3.0ms
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)
2.0ms
x
@0
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)
2.0ms
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)

rewrite204.0ms (6%)

Memory
7.0MiB live, 189.8MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0182826
0190704
11151698
08375671
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
39 → 71
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 (+ (* x (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* x (- (+ (* 1/8 (/ 1 (pow s 2))) (* x (- (* 1/24 (/ 1 (pow s 3))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2)))) s)) (* 1/16 (/ 1 (pow s 3))))))) (* 1/8 (/ 1 (pow s 2))))) (* 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)))
#s(literal 1 binary32)
(-.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 (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))))))
(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 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(/.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)))
(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) 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 #s(literal 0 binary32) x (/.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 (fma.f32 x (-.f32 (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 0 binary32) s)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) 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 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 (*.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 #s(literal 0 binary32) (*.f32 x x)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (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 #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 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 #s(literal 0 binary32) (*.f32 x x)))) 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 (exp (/ (neg x) s)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg 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))))

eval5.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 749 to 329 computations (56.1% saved)

prune4.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New58664
Fresh000
Picked011
Done000
Total58765
Accuracy
100.0%
Counts
65 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.1%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶39.1%
(/.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)))
▶31.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶36.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 159 to 142 computations (10.7% saved)

series69.0ms (2%)

Memory
-25.1MiB live, 119.6MiB allocated; 24ms collecting garbage
Counts
25 → 106
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)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.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 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(expm1.f32 (/.f32 (neg.f32 x) s))
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 (+ (* x (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (+ (* x (- (+ (* 1/8 (/ 1 (pow s 2))) (* x (- (* 1/24 (/ 1 (pow s 3))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2)))) s)) (* 1/16 (/ 1 (pow s 3))))))) (* 1/8 (/ 1 (pow s 2))))) (* 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 (/ 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 (+ (* x (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* x (- (+ (* 1/8 (/ 1 (pow s 2))) (* x (- (* 1/24 (/ 1 (pow s 3))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2)))) s)) (* 1/16 (/ 1 (pow s 3))))))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x 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 (+ (/ (neg x) s) 2) #s(hole binary32 2))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (- (+ (* 1/2 (/ 1 s)) (* x (- (* 1/12 (/ 1 (pow s 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (- (+ (* 1/2 (/ 1 s)) (* x (- (+ (* 1/12 (/ 1 (pow s 2))) (* x (- (* 1/6 (/ 1 (pow s 3))) (+ (* -1 (/ (- (* 1/12 (/ 1 (pow s 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))) s)) (+ (* 1/48 (/ 1 (pow s 3))) (* 2/3 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) (pow s 2)))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (/ 1 s) (* 2 (/ 1 s)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (+ (* x (- (* 4/3 (/ 1 (pow s 2))) (+ (* -1/2 (/ (- (/ 1 s) (* 2 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2)))))) (/ 1 s)) (* 2 (/ 1 s)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (+ (* x (- (+ (* 4/3 (/ 1 (pow s 2))) (* x (- (* 1/12 (/ 1 (pow s 3))) (+ (* -1/2 (/ (- (* 4/3 (/ 1 (pow s 2))) (+ (* -1/2 (/ (- (/ 1 s) (* 2 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))) s)) (+ (* 1/6 (/ (- (/ 1 s) (* 2 (/ 1 s))) (pow s 2))) (* 2/3 (/ 1 (pow s 3)))))))) (+ (* -1/2 (/ (- (/ 1 s) (* 2 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2)))))) (/ 1 s)) (* 2 (/ 1 s)))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (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 (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#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)))))
#s(approx (- (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 (/ 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 (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#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 (+ (* (/ 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 (/ 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 (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 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)))
#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 (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 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))))
Calls

6 calls:

TimeVariablePointExpression
17.0ms
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)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))
12.0ms
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)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))
10.0ms
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)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))
10.0ms
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)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))
8.0ms
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)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))

rewrite208.0ms (6.2%)

Memory
17.4MiB live, 239.3MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06073713
06333205
140123201
093403070
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
131 → 232
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)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.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 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(expm1.f32 (/.f32 (neg.f32 x) s))
#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 (+ (* x (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (+ (* x (- (+ (* 1/8 (/ 1 (pow s 2))) (* x (- (* 1/24 (/ 1 (pow s 3))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2)))) s)) (* 1/16 (/ 1 (pow s 3))))))) (* 1/8 (/ 1 (pow s 2))))) (* 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 (/ 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 (+ (* x (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* x (- (+ (* 1/8 (/ 1 (pow s 2))) (* x (- (* 1/24 (/ 1 (pow s 3))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2)))) s)) (* 1/16 (/ 1 (pow s 3))))))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x 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 (+ (/ (neg x) s) 2) #s(hole binary32 2))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (- (+ (* 1/2 (/ 1 s)) (* x (- (* 1/12 (/ 1 (pow s 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (- (+ (* 1/2 (/ 1 s)) (* x (- (+ (* 1/12 (/ 1 (pow s 2))) (* x (- (* 1/6 (/ 1 (pow s 3))) (+ (* -1 (/ (- (* 1/12 (/ 1 (pow s 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))) s)) (+ (* 1/48 (/ 1 (pow s 3))) (* 2/3 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) (pow s 2)))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (/ 1 s) (* 2 (/ 1 s)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (+ (* x (- (* 4/3 (/ 1 (pow s 2))) (+ (* -1/2 (/ (- (/ 1 s) (* 2 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2)))))) (/ 1 s)) (* 2 (/ 1 s)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (+ (* x (- (+ (* 4/3 (/ 1 (pow s 2))) (* x (- (* 1/12 (/ 1 (pow s 3))) (+ (* -1/2 (/ (- (* 4/3 (/ 1 (pow s 2))) (+ (* -1/2 (/ (- (/ 1 s) (* 2 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))) s)) (+ (* 1/6 (/ (- (/ 1 s) (* 2 (/ 1 s))) (pow s 2))) (* 2/3 (/ 1 (pow s 3)))))))) (+ (* -1/2 (/ (- (/ 1 s) (* 2 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2)))))) (/ 1 s)) (* 2 (/ 1 s)))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (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 (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#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)))))
#s(approx (- (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 (/ 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 (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#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 (+ (* (/ 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 (/ 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 (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 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)))
#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 (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 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 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 -2 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) (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)))
#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 (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 (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 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(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 #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 (neg.f32 x) s))
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(/.f32 (exp.f32 #s(literal -2 binary32)) (exp.f32 #s(literal -1 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)))
(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)
#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 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))) (neg.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/4 binary32))) (neg.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/64 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s))))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal 1/64 binary32) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/4 binary32)) (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/64 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)))) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))))
(/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal 1/64 binary32) #s(literal 1/8 binary32)) (fma.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.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))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
#s(literal 1/4 binary32)
(/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 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 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.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 4 binary32) (*.f32 (/.f32 x s) (/.f32 x s)))) (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) (/.f32 (neg.f32 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 (neg.f32 (+.f32 #s(literal 8 binary32) (/.f32 (*.f32 (*.f32 x x) (neg.f32 x)) (*.f32 (*.f32 s s) s)))) (neg.f32 (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
(/.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 4 binary32) (*.f32 (/.f32 x s) (/.f32 x s))) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))
(/.f32 (fma.f32 (*.f32 x x) (/.f32 (neg.f32 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 (+.f32 #s(literal 8 binary32) (/.f32 (*.f32 (*.f32 x x) (neg.f32 x)) (*.f32 (*.f32 s s) s))) (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
(*.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)
(-.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 x))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal -2 binary32) x)) (*.f32 x x))) (neg.f32 (fma.f32 #s(literal -2 binary32) x (neg.f32 x))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 x x) (neg.f32 x)))) (neg.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal -2 binary32) x) (fma.f32 x x (*.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 x))))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal -2 binary32) x)) (*.f32 x x)) (fma.f32 #s(literal -2 binary32) x (neg.f32 x)))
(/.f32 (-.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 x x) (neg.f32 x))) (fma.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal -2 binary32) x) (fma.f32 x x (*.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 x)))))
(fma.f32 #s(literal -2 binary32) x (*.f32 #s(literal 1 binary32) x))
(fma.f32 x #s(literal -2 binary32) (*.f32 #s(literal 1 binary32) x))
(+.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal 1 binary32) x))
(neg.f32 x)
#s(literal 2 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (pow.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(pow.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(expm1.f32 (+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s)))
(expm1.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
(expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (exp.f32 (*.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32) #s(literal 0 binary32)))))))
(/.f32 (expm1.f32 (*.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 (expm1.f32 (*.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 3 binary32))) (+.f32 (exp.f32 (*.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32) #s(literal 0 binary32))))))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32))) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)
(expm1.f32 (/.f32 (neg.f32 x) s))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32)))))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 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 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(literal 0 binary32) x (/.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 (fma.f32 x (-.f32 (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 0 binary32) s)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) 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 (pow (exp -1) (/ x s)) #s(literal 1 binary32))
#s(approx (pow (exp -1) (/ x s)) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (/ x s) (/.f32 x s))
#s(approx x x)
#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 #s(literal 0 binary32) x (/.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 (fma.f32 x (-.f32 (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 0 binary32) s)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) x (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(literal 1/2 binary32))
#s(approx (+ (* (/ x s) 1/4) 1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #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 (+ (/ (neg x) s) 2) #s(literal 2 binary32))
#s(approx (+ (/ (neg x) s) 2) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 s s)) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) s))) (/.f32 #s(literal 1/3 binary32) (*.f32 s s))) x (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
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#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(literal 2 binary32))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) s)) x #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 s s)) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) s)) s) #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 s s)))) x (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 2 binary32) s)) x #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 s s) s)) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 s s)) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) s)) s) #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 s s)))) s) #s(literal -1/2 binary32) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) s)) (*.f32 s s)) #s(literal 1/6 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 s s) s))))) x (/.f32 #s(literal 4/3 binary32) (*.f32 s s))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) s)) s) #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 s s)))) x (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) s))) x #s(literal 2 binary32)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (*.f32 #s(literal -2 binary32) (/.f32 x s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (*.f32 (-.f32 (/.f32 (+.f32 x x) (*.f32 s s)) (/.f32 #s(literal 2 binary32) s)) x))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 x (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 2 binary32) s)) x))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (*.f32 (-.f32 (*.f32 (fma.f32 x (-.f32 (*.f32 (/.f32 x (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 2/3 binary32)) (/.f32 #s(literal 4/3 binary32) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 2 binary32) s)) x))
#s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (neg.f32 x) s))
#s(approx (- (exp (/ (neg x) s)) 1) (*.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (- (exp (/ (neg x) s)) 1) (*.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(approx (- (exp (/ (neg x) s)) 1) (*.f32 (-.f32 (*.f32 (fma.f32 x (-.f32 (*.f32 (/.f32 x (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/24 binary32)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) 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 (pow (exp -1) (/ x s)) (exp.f32 (/.f32 (neg.f32 x) s)))
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#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (neg.f32 x) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))
#s(approx (- (exp (/ (neg x) s)) 1) (expm1.f32 (/.f32 (neg.f32 x) s)))
#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 s s)
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (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 (pow (exp -1) (/ 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 (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 (*.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 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (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 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/12 binary32))) #s(literal 1/2 binary32)) (neg.f32 (*.f32 x (/.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 s s))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/3 binary32)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/12 binary32))))) (neg.f32 (*.f32 x (/.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 s s))))) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 (*.f32 s s) s)) #s(literal 2/3 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/3 binary32))))) (neg.f32 (*.f32 x (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (neg.f32 x) (*.f32 #s(literal 1/4 binary32) x)))) (*.f32 (*.f32 s s) s)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (-.f32 (-.f32 (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4/3 binary32))) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (fma.f32 (*.f32 x (/.f32 (neg.f32 x) (*.f32 s s))) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/3 binary32)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (-.f32 (-.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 x s) (fma.f32 #s(literal -2/3 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4/3 binary32))))) (/.f32 (neg.f32 x) s)) (fma.f32 (*.f32 x (/.f32 (neg.f32 x) (*.f32 s s))) #s(literal -1/2 binary32) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 (neg.f32 x) x) #s(literal -1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) (*.f32 (*.f32 s s) s))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/12 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (neg.f32 x)) (*.f32 (*.f32 s s) s)) #s(literal 1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/3 binary32))))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) x)) s))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (/.f32 (fma.f32 #s(literal -2 binary32) x (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal -4/3 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 2 binary32)))) s))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (/.f32 (fma.f32 #s(literal -2 binary32) x (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal -4/3 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) s)) #s(literal 2/3 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 2 binary32))))) s))
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s))
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))) (neg.f32 x)) s))
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) s)) #s(literal 1/24 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)))) (neg.f32 x)) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.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 (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 (/ 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 (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x x) #s(literal 1/12 binary32) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/48 binary32)) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 x x)) (*.f32 #s(literal -1/4 binary32) x) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) x)))) s))) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s)) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (+.f32 (neg.f32 (/.f32 (-.f32 (+.f32 x x) x) s)) #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (*.f32 (-.f32 (+.f32 x x) x) x) #s(literal 1/2 binary32)))) s))) x) s))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x x) #s(literal 4/3 binary32) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 2/3 binary32)) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/12 binary32) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (-.f32 (+.f32 x x) x) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (*.f32 (-.f32 (+.f32 x x) x) x) #s(literal 1/2 binary32)))))))) s))) (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (*.f32 (-.f32 (+.f32 x x) x) x) #s(literal 1/2 binary32)))) s))) x) s)) #s(literal 2 binary32)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32) (+.f32 x x)) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (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 (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s) #s(literal -2/3 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal 4/3 binary32))) s))) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
#s(approx (- (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)) x) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (+.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)))

eval23.0ms (0.7%)

Memory
-7.6MiB live, 37.0MiB allocated; 8ms collecting garbage
Compiler

Compiled 2 938 to 1 149 computations (60.9% saved)

prune8.0ms (0.2%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New2039212
Fresh101
Picked145
Done011
Total20514219
Accuracy
100.0%
Counts
219 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.1%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))) (expm1.f32 (/.f32 (neg.f32 x) s))))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓39.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
39.1%
(/.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))))
▶16.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
▶39.0%
(/.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))))
▶68.1%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
30.1%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
✓31.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
31.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
▶31.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
✓36.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 408 to 380 computations (6.9% saved)

series167.0ms (5%)

Memory
-8.4MiB live, 188.2MiB allocated; 129ms collecting garbage
Counts
38 → 132
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (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 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
s
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s)))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 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))))
#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)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 2 binary32) x)
(/.f32 #s(literal 1 binary32) s)
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))
(expm1.f32 (/.f32 (neg.f32 x) s))
(expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
#s(literal -2 binary32)
Outputs
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* -1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/4 (/ (* (log (pow (exp -1) 2)) (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))) s)) (+ (* -1/128 (/ (pow (log (pow (exp -1) 2)) 3) (pow s 3))) (* 1/192 (/ (pow (log (pow (exp -1) 2)) 3) (pow s 3))))))) (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 2))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 1))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (/ (/ x s) 2) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#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 (+ (* x (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* x (- (+ (* 1/8 (/ 1 (pow s 2))) (* x (- (* 1/24 (/ 1 (pow s 3))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2)))) s)) (* 1/16 (/ 1 (pow s 3))))))) (* 1/8 (/ 1 (pow s 2))))) (* 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 (+ (/ (neg x) s) 2) #s(hole binary32 2))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (+ 2 (* -1 (/ x 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) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ 1/2 x) #s(hole binary32 (/ 1/2 x)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 2))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (/ 2 x) #s(hole binary32 (/ 2 x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (- (+ (* 1/2 (/ 1 s)) (* x (- (* 1/12 (/ 1 (pow s 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (- (+ (* 1/2 (/ 1 s)) (* x (- (+ (* 1/12 (/ 1 (pow s 2))) (* x (- (* 1/6 (/ 1 (pow s 3))) (+ (* -1 (/ (- (* 1/12 (/ 1 (pow s 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))) s)) (+ (* 1/48 (/ 1 (pow s 3))) (* 2/3 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) (pow s 2)))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 1/2))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* x (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s)))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* x (- (+ (* 1/2 (/ 1 s)) (* x (- (* 1/12 (/ 1 (pow s 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* x (- (+ (* 1/2 (/ 1 s)) (* x (- (+ (* 1/12 (/ 1 (pow s 2))) (* x (- (* 1/6 (/ 1 (pow s 3))) (+ (* -1 (/ (- (* 1/12 (/ 1 (pow s 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))) s)) (+ (* 1/48 (/ 1 (pow s 3))) (* 2/3 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) (pow s 2)))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#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)))))
#s(approx (- (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 (* -2 (/ x s))) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (* -2 (/ x s)) #s(hole binary32 (* -2 (/ x s))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#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 (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (/ x s))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #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 (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) (pow s 2)))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))))) (+ (* -1/128 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))) (* 1/192 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))))) (pow s 3)))) (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (+ (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) 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 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s)) (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/192 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (+ (* 1/128 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/4 (/ (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))))) s)))) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))) s)) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
Calls

6 calls:

TimeVariablePointExpression
48.0ms
s
@inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1) (* -2 (/ x s)) -2)
41.0ms
x
@inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1) (* -2 (/ x s)) -2)
29.0ms
x
@-inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1) (* -2 (/ x s)) -2)
20.0ms
s
@-inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1) (* -2 (/ x s)) -2)
13.0ms
x
@0
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1) (* -2 (/ x s)) -2)

rewrite294.0ms (8.7%)

Memory
11.6MiB live, 247.9MiB allocated; 97ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06994904
07374037
143523851
086013709
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
170 → 293
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (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 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
s
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s)))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
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#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 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))))
#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)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
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(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))
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(*.f32 #s(literal -2 binary32) (/.f32 x s))
#s(literal -2 binary32)
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#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* -1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
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#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 2))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 1))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (/ (/ x s) 2) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#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 (+ (* x (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* x (- (+ (* 1/8 (/ 1 (pow s 2))) (* x (- (* 1/24 (/ 1 (pow s 3))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2)))) s)) (* 1/16 (/ 1 (pow s 3))))))) (* 1/8 (/ 1 (pow s 2))))) (* 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 (+ (/ (neg x) s) 2) #s(hole binary32 2))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (+ 2 (* -1 (/ x 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) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ 1/2 x) #s(hole binary32 (/ 1/2 x)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 2))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (/ 2 x) #s(hole binary32 (/ 2 x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (- (+ (* 1/2 (/ 1 s)) (* x (- (* 1/12 (/ 1 (pow s 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))))) (* 1/4 (/ 1 s)))))))
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#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 1/2))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* x (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s)))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* x (- (+ (* 1/2 (/ 1 s)) (* x (- (* 1/12 (/ 1 (pow s 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (* 1/4 (/ 1 s))) s)) (* 1/3 (/ 1 (pow s 2))))))) (* 1/4 (/ 1 s)))))))
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#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
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#s(approx (- (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 (* -2 (/ x s))) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (* -2 (/ x s)) #s(hole binary32 (* -2 (/ x s))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#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 (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (/ x s))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #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 (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) (pow s 2)))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))))) (+ (* -1/128 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))) (* 1/192 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))))) (pow s 3)))) (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (+ (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) 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 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s)) (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/192 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (+ (* 1/128 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/4 (/ (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))))) s)))) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))) s)) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)))
(pow.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))))))))
(fma.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) (pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) (pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))
(+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))))
(*.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))))
(*.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))))
(*.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))))
(*.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))))
(*.f32 (pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) (pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))))
(*.f32 (pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) (pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))))
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#s(approx (- (exp (* -2 (/ x s))) 1) (/.f32 (fma.f32 #s(literal -2 binary32) x (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal -4/3 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 2 binary32)))) s))
#s(approx (- (exp (* -2 (/ x s))) 1) (/.f32 (fma.f32 #s(literal -2 binary32) x (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal -4/3 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) s)) #s(literal 2/3 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 2 binary32))))) s))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) s) #s(literal 0 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) x))) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s) #s(literal -1/192 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) #s(literal 0 binary32)) #s(literal -2 binary32)) x) s) #s(literal 1/4 binary32) (*.f32 #s(literal 1/128 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s)))) (*.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) #s(literal 0 binary32))) s)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(literal -1/8 binary32))) s)) #s(literal 1/2 binary32)))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) s) #s(literal -1/8 binary32))) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s) #s(literal 1/48 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 4 binary32))) s))) s))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) s) #s(literal -1/8 binary32))) s)) #s(literal 1 binary32)))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s) #s(literal 1/48 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 4 binary32))) s))) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.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 (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x x) #s(literal 1/12 binary32) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/48 binary32)) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 x x)) (*.f32 #s(literal -1/4 binary32) x) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) x)))) s))) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s)) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (+.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x x) #s(literal 1/12 binary32) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/48 binary32)) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 x x)) (*.f32 #s(literal -1/4 binary32) x) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) x)))) s))) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s)) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
#s(approx (- (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)) x) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (+.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 (* -2 (/ x s))) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32) (+.f32 x x)) s)))
#s(approx (- (exp (* -2 (/ x s))) 1) (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 (- (exp (* -2 (/ x s))) 1) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s) #s(literal -2/3 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal 4/3 binary32))) s))) s))) s)))

eval26.0ms (0.8%)

Memory
22.9MiB live, 66.9MiB allocated; 10ms collecting garbage
Compiler

Compiled 3 402 to 1 429 computations (58% saved)

prune16.0ms (0.5%)

Memory
0.6MiB live, 44.8MiB allocated; 8ms collecting garbage
Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New2608268
Fresh134
Picked145
Done055
Total26220282
Accuracy
100.0%
Counts
282 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.1%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))) (expm1.f32 (/.f32 (neg.f32 x) s))))
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓39.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
▶39.1%
(/.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))))
✓16.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
35.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
✓39.0%
(/.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))))
39.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) x)) x))))
▶36.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
16.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
✓68.1%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
30.1%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
✓31.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
31.4%
#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)))
▶23.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s)) x)))
✓31.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
▶36.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
✓36.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 592 to 554 computations (6.4% saved)

series185.0ms (5.5%)

Memory
-63.0MiB live, 264.6MiB allocated; 203ms collecting garbage
Counts
38 → 117
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))))
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))
(*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x (+.f32 s s))
x
(+.f32 s s)
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))
(*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 2 binary32) x)
#s(literal 2 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))
(neg.f32 x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s)) x))
(*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s)) x)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))
(*.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
(*.f32 x s)
Outputs
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* -1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/4 (/ (* (log (pow (exp -1) 2)) (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))) s)) (+ (* -1/128 (/ (pow (log (pow (exp -1) 2)) 3) (pow s 3))) (* 1/192 (/ (pow (log (pow (exp -1) 2)) 3) (pow s 3))))))) (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 2))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 1))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (/ x (+ s s)) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx x #s(hole binary32 x))
#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 (+ (* x (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* x (- (+ (* 1/8 (/ 1 (pow s 2))) (* x (- (* 1/24 (/ 1 (pow s 3))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2)))) s)) (* 1/16 (/ 1 (pow s 3))))))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ 1/2 x) #s(hole binary32 (/ 1/2 x)))
#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 (+ (/ (neg x) s) 2) #s(hole binary32 2))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 2))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (/ 2 x) #s(hole binary32 (/ 2 x)))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 2))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (+ 2 (* -1 (/ 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 (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) #s(hole binary32 1/2))
#s(approx (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* 1/2 s)))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (+ (* 1/4 x) (* 1/2 s))))
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 x)))
#s(approx (* x s) #s(hole binary32 (* s x)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (/ x s))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 x)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* 1/4 x)))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* x (+ 1/4 (* 1/2 (/ s x))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #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 (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))))
#s(approx (+ s s) #s(hole binary32 (* 2 s)))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (- (* 2 s) x)))
#s(approx (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) (pow s 2)))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))))) (+ (* -1/128 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))) (* 1/192 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))))) (pow s 3)))) (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (+ (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) 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 (+ (* 2 s) (neg x)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* s (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s)) (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/192 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (+ (* 1/128 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/4 (/ (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))))) s)))) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))) s)) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))))
Calls

6 calls:

TimeVariablePointExpression
84.0ms
s
@-inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (* (exp -1) (exp -1)) (exp -1) -1 (/ x (+ s s)) x (+ s s) s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) (+ (* 1/2 s) (* 1/4 x)) (* 1/4 x) 1/4 (* x s))
27.0ms
x
@inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (* (exp -1) (exp -1)) (exp -1) -1 (/ x (+ s s)) x (+ s s) s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) (+ (* 1/2 s) (* 1/4 x)) (* 1/4 x) 1/4 (* x s))
20.0ms
x
@-inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (* (exp -1) (exp -1)) (exp -1) -1 (/ x (+ s s)) x (+ s s) s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) (+ (* 1/2 s) (* 1/4 x)) (* 1/4 x) 1/4 (* x s))
19.0ms
s
@inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (* (exp -1) (exp -1)) (exp -1) -1 (/ x (+ s s)) x (+ s s) s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) (+ (* 1/2 s) (* 1/4 x)) (* 1/4 x) 1/4 (* x s))
17.0ms
x
@0
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (* (exp -1) (exp -1)) (exp -1) -1 (/ x (+ s s)) x (+ s s) s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) (+ (* 1/2 s) (* 1/4 x)) (* 1/4 x) 1/4 (* x s))

rewrite211.0ms (6.2%)

Memory
28.3MiB live, 254.3MiB allocated; 111ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04983457
05242813
127882655
083452585
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
155 → 319
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))))
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))
(*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x (+.f32 s s))
x
(+.f32 s s)
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))
(*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 2 binary32) x)
#s(literal 2 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))
(neg.f32 x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s)) x))
(*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s)) x)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))
(*.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
(*.f32 x s)
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* -1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/4 (/ (* (log (pow (exp -1) 2)) (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))) s)) (+ (* -1/128 (/ (pow (log (pow (exp -1) 2)) 3) (pow s 3))) (* 1/192 (/ (pow (log (pow (exp -1) 2)) 3) (pow s 3))))))) (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 2))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 1))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (/ x (+ s s)) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx x #s(hole binary32 x))
#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 (+ (* x (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* x (- (+ (* 1/8 (/ 1 (pow s 2))) (* x (- (* 1/24 (/ 1 (pow s 3))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ 1 (pow s 2)))) s)) (* 1/16 (/ 1 (pow s 3))))))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ 1/2 x) #s(hole binary32 (/ 1/2 x)))
#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 (+ (/ (neg x) s) 2) #s(hole binary32 2))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 2))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (/ 2 x) #s(hole binary32 (/ 2 x)))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 2))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (+ 2 (* -1 (/ 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 (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) #s(hole binary32 1/2))
#s(approx (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* 1/2 s)))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (+ (* 1/4 x) (* 1/2 s))))
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 x)))
#s(approx (* x s) #s(hole binary32 (* s x)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (/ x s))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 x)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* 1/4 x)))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* x (+ 1/4 (* 1/2 (/ s x))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #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 (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))))
#s(approx (+ s s) #s(hole binary32 (* 2 s)))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (- (* 2 s) x)))
#s(approx (* (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (/ (+ (* 1/2 s) (* 1/4 x)) (* x s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) (pow s 2)))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))))) (+ (* -1/128 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))) (* 1/192 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))))) (pow s 3)))) (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (+ (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) 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 (+ (* 2 s) (neg x)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* s (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s)) (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/192 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (+ (* 1/128 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/4 (/ (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))))) s)))) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))) s)) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))))
Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)))
(pow.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))))))))
(fma.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) #s(literal 1 binary32))
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#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (+.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) x) (/.f32 #s(literal -8 binary32) (*.f32 (*.f32 s s) s))) #s(literal 1/48 binary32) (fma.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 4 binary32) (*.f32 s s))) #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) s) #s(literal 1/2 binary32))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (+.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 4 binary32) (*.f32 s s))) #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) s) #s(literal 1/2 binary32))) #s(literal 1 binary32)))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) x) (/.f32 #s(literal -8 binary32) (*.f32 (*.f32 s s) s))) #s(literal 1/48 binary32) (fma.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 4 binary32) (*.f32 s s))) #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) s) #s(literal 1/2 binary32))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (+ 1 (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 (+ (* 2 s) (neg x)) (*.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) s))
#s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) s) #s(literal 0 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) x))) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s) #s(literal -1/192 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 0 binary32)) #s(literal -2 binary32)) x) s) #s(literal 1/4 binary32) (*.f32 #s(literal 1/128 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s)))) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 0 binary32))) s)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(literal -1/8 binary32))) s)) #s(literal 1/2 binary32)))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -2 binary32) x) (*.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) s) #s(literal -1/8 binary32))) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal -2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s) #s(literal 1/48 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 4 binary32))) s))) s))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -2 binary32) x) (*.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) s) #s(literal -1/8 binary32))) s)) #s(literal 1 binary32)))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal -2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s) #s(literal 1/48 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 4 binary32))) s))) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.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 (+ (* 2 s) (neg x)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s)))
#s(approx (+ (* 1/2 s) (* 1/4 x)) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) s)))

eval41.0ms (1.2%)

Memory
-0.5MiB live, 80.3MiB allocated; 28ms collecting garbage
Compiler

Compiled 3 118 to 1 473 computations (52.8% saved)

prune41.0ms (1.2%)

Memory
13.5MiB live, 67.3MiB allocated; 35ms collecting garbage
Pruning

24 alts after pruning (11 fresh and 13 done)

PrunedKeptTotal
New2675272
Fresh066
Picked145
Done099
Total26824292
Accuracy
100.0%
Counts
292 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.1%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))) (expm1.f32 (/.f32 (neg.f32 x) s))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓39.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
✓16.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
39.1%
(/.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))))
39.1%
(/.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 (/.f32 (+.f32 s s) x) #s(literal 1 binary32)) x)) s))))
35.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
✓39.0%
(/.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))))
21.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 x) (neg.f32 x)) (*.f32 x (neg.f32 x)))) x))))
39.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) x)) x))))
✓36.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
16.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
✓68.1%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
30.1%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
✓31.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
31.4%
#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)))
✓23.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s)) x)))
28.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) (*.f32 x s)) x)))
✓31.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
✓36.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
36.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))) x)))
✓36.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 747 to 618 computations (17.3% saved)

regimes70.0ms (2.1%)

Memory
-4.5MiB live, 126.8MiB allocated; 33ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.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 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.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 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) (*.f32 x s)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.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 x) (/ 1 s)) (/.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) x)) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 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 (/.f32 (+.f32 s s) x) #s(literal 1 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 x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 x) (neg.f32 x)) (*.f32 x (neg.f32 x)))) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #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)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
Calls

7 calls:

21.0ms
s
13.0ms
(neg.f32 x)
11.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
7.0ms
x
6.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.8%1(neg.f32 x)
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1x
99.8%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes72.0ms (2.1%)

Memory
-3.8MiB live, 96.2MiB allocated; 57ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.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 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.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 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) (*.f32 x s)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.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 x) (/ 1 s)) (/.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) x)) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 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 (/.f32 (+.f32 s s) x) #s(literal 1 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 x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 x) (neg.f32 x)) (*.f32 x (neg.f32 x)))) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

31.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
13.0ms
(neg.f32 x)
6.0ms
s
6.0ms
x
6.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.8%1(neg.f32 x)
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1x
99.8%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes40.0ms (1.2%)

Memory
36.2MiB live, 80.3MiB allocated; 10ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.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 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.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 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) (*.f32 x s)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.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 x) (/ 1 s)) (/.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) x)) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 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 (/.f32 (+.f32 s s) x) #s(literal 1 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 x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 x) (neg.f32 x)) (*.f32 x (neg.f32 x)))) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
Calls

7 calls:

11.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms
s
5.0ms
x
5.0ms
(neg.f32 x)
5.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
48.8%2(neg.f32 x)
49.3%2(/.f32 (neg.f32 x) s)
49.3%2(exp.f32 (/.f32 (neg.f32 x) s))
49.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
49.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.8%2x
42.9%2s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes163.0ms (4.8%)

Memory
-43.9MiB live, 49.8MiB allocated; 178ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.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 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.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 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) (*.f32 x s)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.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 x) (/ 1 s)) (/.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) x)) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 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 (/.f32 (+.f32 s s) x) #s(literal 1 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 x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 x) (neg.f32 x)) (*.f32 x (neg.f32 x)))) x))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
Calls

6 calls:

5.0ms
x
5.0ms
(neg.f32 x)
5.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
47.4%2x
47.4%2(neg.f32 x)
48.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.1%2(exp.f32 (/.f32 (neg.f32 x) s))
48.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
48.1%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes12.0ms (0.4%)

Memory
24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.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 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
#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))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
Calls

6 calls:

2.0ms
x
2.0ms
(neg.f32 x)
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
45.7%2x
45.7%2(neg.f32 x)
49.2%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.2%3(exp.f32 (/.f32 (neg.f32 x) s))
49.2%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
49.2%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes7.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
Outputs
#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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
Calls

4 calls:

2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
49.2%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.2%3(/.f32 (neg.f32 x) s)
49.2%3(exp.f32 (/.f32 (neg.f32 x) s))
49.2%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes32.0ms (0.9%)

Memory
-36.3MiB live, 15.5MiB allocated; 16ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))) x)))
Outputs
#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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
Calls

4 calls:

27.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
49.2%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.2%3(exp.f32 (/.f32 (neg.f32 x) s))
49.2%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
49.2%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 25 to 24 computations (4% saved)

regimes5.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (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 (neg.f32 x) s))))
Calls

4 calls:

1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
1.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
45.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
45.9%2(/.f32 (neg.f32 x) s)
45.9%2(exp.f32 (/.f32 (neg.f32 x) s))
45.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes8.0ms (0.2%)

Memory
22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0.2%)

Threshold costs -0b (-0.2%)

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

7 calls:

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

Compiled 29 to 31 computations (-6.9% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.00010605235729599372
0.00036887734313495457
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-9.755437850952148
-0.5860138535499573
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.3789283037185669
2.3465683460235596
0.0ms
-9.755437850952148
-0.5860138535499573
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.3789283037185669
2.3465683460235596
0.0ms
-9.755437850952148
-0.5860138535499573
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch4.0ms (0.1%)

Memory
-44.0MiB live, 0.8MiB allocated; 7ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
4.0ms
0.3789283037185669
2.3465683460235596
0.0ms
-9.755437850952148
-0.5860138535499573
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.3789283037185669
2.3465683460235596
Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations215.0ms (6.4%)

Memory
9.1MiB live, 241.3MiB allocated; 37ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 108 to 71 computations (34.3% saved)

preprocess59.0ms (1.7%)

Memory
11.7MiB live, 154.7MiB allocated; 23ms collecting garbage
Compiler

Compiled 117 to 79 computations (32.5% saved)

end0.0ms (0%)

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

Profiling

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