Logistic function

Time bar (total: 2.3s)

start0.0ms (0%)

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

analyze34.0ms (1.5%)

Memory
11.3MiB live, 57.6MiB allocated; 9ms 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)

sample714.0ms (31%)

Memory
-4.5MiB live, 1 081.3MiB allocated; 197ms collecting garbage
Samples
525.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 323.0ms
ival-exp: 136.0ms (42.2% of total)
ival-div!: 88.0ms (27.3% of total)
ival-add!: 48.0ms (14.9% of total)
ival-neg: 47.0ms (14.6% of total)
adjust: 2.0ms (0.6% of total)
ival-<=: 1.0ms (0.3% of total)
ival-and: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess40.0ms (1.7%)

Memory
-12.7MiB live, 33.2MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 18 to 16 computations (11.1% saved)

series10.0ms (0.4%)

Memory
22.0MiB live, 21.9MiB allocated; 0ms collecting garbage
Counts
8 → 31
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Calls

6 calls:

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

rewrite209.0ms (9.1%)

Memory
-18.2MiB live, 194.5MiB allocated; 105ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181784
0189684
1691619
23694611
08146584
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
39 → 102
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Outputs
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(*.f32 (/.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) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 #s(literal 0 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 #s(literal 0 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(+.f32 (/.f32 (*.f32 (cosh.f32 #s(literal 1/8 binary32)) (cosh.f32 #s(literal 1/8 binary32))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 (*.f32 (sinh.f32 #s(literal -1/8 binary32)) (sinh.f32 #s(literal 1/8 binary32))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 #s(literal 0 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
#s(literal 1 binary32)
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))
(fma.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))) (neg.f32 (sinh.f32 (/.f32 x s))))
(fma.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (+.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32)))) (neg.f32 (sinh.f32 (/.f32 x s))))
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (neg.f32 (sinh.f32 (/.f32 x s))))
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (neg.f32 (sinh.f32 (/.f32 x s))) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(neg.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 (sinh.f32 (/.f32 x s))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s)))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s)) (*.f32 #s(literal 2 binary32) (neg.f32 (sinh.f32 (/.f32 x s))))) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(fma.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 0 binary32) (exp.f32 (/.f32 x s))))
(pow.f32 (exp.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s))
(+.f32 (/.f32 (*.f32 (cosh.f32 #s(literal 1/8 binary32)) (cosh.f32 #s(literal 1/8 binary32))) (exp.f32 (/.f32 x s))) (/.f32 (*.f32 (sinh.f32 #s(literal -1/8 binary32)) (sinh.f32 #s(literal 1/8 binary32))) (exp.f32 (/.f32 x s))))
(+.f32 (neg.f32 (sinh.f32 (/.f32 x s))) (cosh.f32 (/.f32 x s)))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 0 binary32) (exp.f32 (/.f32 x s))))
(fabs.f32 (-.f32 (neg.f32 (sinh.f32 (/.f32 x s))) (neg.f32 (cosh.f32 (/.f32 x s)))))
(fabs.f32 (-.f32 (sinh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))))
(fabs.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(fabs.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fabs.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s))
(*.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(*.f32 x (/.f32 #s(literal -1 binary32) s))
(/.f32 (neg.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 x (neg.f32 s))
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
x
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 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (*.f32 s s)) #s(literal -1/4 binary32)) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) s))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) x) s) #s(literal -1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) x) s) #s(literal -1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx x x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx s s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/48 binary32) (*.f32 #s(literal 0 binary32) x)) (*.f32 s s)) (*.f32 #s(literal -1/4 binary32) x)) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) 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)))) (-.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32) #s(literal 0 binary32)) s)) s)) s) #s(literal -1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s)))

eval7.0ms (0.3%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 767 to 380 computations (50.5% saved)

prune6.0ms (0.3%)

Memory
-34.3MiB live, 11.8MiB allocated; 2ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New83689
Fresh000
Picked101
Done000
Total84690
Accuracy
100.0%
Counts
90 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s))))
59.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))))
▶39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶30.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶35.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 132 to 126 computations (4.5% saved)

series15.0ms (0.7%)

Memory
38.3MiB live, 38.3MiB allocated; 0ms collecting garbage
Counts
24 → 62
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #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))
(/.f32 x s)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s)))
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (E.f32))
(E.f32)
Outputs
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1/4 (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))) (* 1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2)))))) (* 1/4 (/ (log (/ 1 (E))) s)))))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (log (/ 1 (E))) (+ (* -1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))) (* 1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))))) s)) (+ (* -1/16 (/ (pow (log (/ 1 (E))) 3) (pow s 3))) (* 1/24 (/ (pow (log (/ 1 (E))) 3) (pow s 3))))))) (+ (* -1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))) (* 1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2)))))) (* 1/4 (/ (log (/ 1 (E))) s)))))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (/ (* x (log (/ 1 (E)))) s))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (* x (+ (* 1/2 (/ (* x (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (log (/ 1 (E))) s))))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (* x (+ (* x (+ (* 1/6 (/ (* x (pow (log (/ 1 (E))) 3)) (pow s 3))) (* 1/2 (/ (pow (log (/ 1 (E))) 2) (pow s 2))))) (/ (log (/ 1 (E))) s))))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (/ (* x (log (/ 1 (E)))) s))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (* x (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (log (/ 1 (E))) s))))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ (* x (pow (log (/ 1 (E))) 3)) (pow s 3))) (* 1/2 (/ (pow (log (/ 1 (E))) 2) (pow s 2))))) (/ (log (/ 1 (E))) s))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (/ 1 (+ 1 (exp (/ (* x (log (/ 1 (E)))) s))))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 1 (exp (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (exp (/ (* x (log (/ 1 (E)))) s))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2)))) (pow s 2)))) (* 1/4 (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* x (* (log (/ 1 (E))) (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))))))) (+ (* -1/16 (* (pow x 3) (pow (log (/ 1 (E))) 3))) (* 1/24 (* (pow x 3) (pow (log (/ 1 (E))) 3))))) (pow s 3)))) (+ (* -1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (* 1/4 (/ (* x (log (/ 1 (E)))) s)))))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) (pow s 3))) (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s))))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) (pow s 3))) (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s))) (* -1/4 (* x (log (/ 1 (E)))))) s)))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/24 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (+ (* 1/16 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (* 1/2 (/ (* x (* (log (/ 1 (E))) (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2)))))) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))))) s)) (* -1/4 (* x (log (/ 1 (E)))))) s)))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s))) s)))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1 (/ (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (/ 1 (E))) 2)))) s))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1 (/ (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (/ 1 (E))) 2)))) s))) s)))))
Calls

6 calls:

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

rewrite105.0ms (4.6%)

Memory
-44.1MiB live, 195.2MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03812178
04031481
115231319
096371266
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
86 → 235
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #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))
(/.f32 x s)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s)))
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (E.f32))
(E.f32)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1/4 (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))) (* 1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2)))))) (* 1/4 (/ (log (/ 1 (E))) s)))))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (log (/ 1 (E))) (+ (* -1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))) (* 1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))))) s)) (+ (* -1/16 (/ (pow (log (/ 1 (E))) 3) (pow s 3))) (* 1/24 (/ (pow (log (/ 1 (E))) 3) (pow s 3))))))) (+ (* -1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))) (* 1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2)))))) (* 1/4 (/ (log (/ 1 (E))) s)))))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (/ (* x (log (/ 1 (E)))) s))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (* x (+ (* 1/2 (/ (* x (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (log (/ 1 (E))) s))))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (* x (+ (* x (+ (* 1/6 (/ (* x (pow (log (/ 1 (E))) 3)) (pow s 3))) (* 1/2 (/ (pow (log (/ 1 (E))) 2) (pow s 2))))) (/ (log (/ 1 (E))) s))))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (/ (* x (log (/ 1 (E)))) s))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (* x (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (log (/ 1 (E))) s))))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ (* x (pow (log (/ 1 (E))) 3)) (pow s 3))) (* 1/2 (/ (pow (log (/ 1 (E))) 2) (pow s 2))))) (/ (log (/ 1 (E))) s))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (/ 1 (+ 1 (exp (/ (* x (log (/ 1 (E)))) s))))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 1 (exp (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (exp (/ (* x (log (/ 1 (E)))) s))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2)))) (pow s 2)))) (* 1/4 (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* x (* (log (/ 1 (E))) (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))))))) (+ (* -1/16 (* (pow x 3) (pow (log (/ 1 (E))) 3))) (* 1/24 (* (pow x 3) (pow (log (/ 1 (E))) 3))))) (pow s 3)))) (+ (* -1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (* 1/4 (/ (* x (log (/ 1 (E)))) s)))))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) (pow s 3))) (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s))))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) (pow s 3))) (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s))) (* -1/4 (* x (log (/ 1 (E)))))) s)))))
#s(approx (/ 1 (+ 1 (pow (/ 1 (E)) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/24 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (+ (* 1/16 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (* 1/2 (/ (* x (* (log (/ 1 (E))) (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2)))))) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))))) s)) (* -1/4 (* x (log (/ 1 (E)))))) s)))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s))) s)))))
#s(approx (+ 1 (pow (/ 1 (E)) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1 (/ (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (/ 1 (E))) 2)))) s))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1 (/ (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (/ 1 (E))) 2)))) s))) s)))))
Outputs
(*.f32 (/.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) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(literal 1 binary32)
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (neg.f32 (sinh.f32 (/.f32 x s))))
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (neg.f32 (sinh.f32 (/.f32 x s))) #s(literal 1 binary32)))
(+.f32 (cosh.f32 (/.f32 x s)) (-.f32 (neg.f32 (sinh.f32 (/.f32 x s))) #s(literal -1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(neg.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(sqrt.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (neg.f32 (sinh.f32 (/.f32 x s)))))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) x) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(fabs.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fabs.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) x)
(*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s))
(*.f32 x (/.f32 #s(literal -1 binary32) s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 s))
(neg.f32 (/.f32 x s))
(log.f32 (fabs.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) x)))
(log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) x))
(*.f32 #s(literal -1 binary32) x)
(*.f32 (neg.f32 x) #s(literal 1 binary32))
(*.f32 x #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 x))
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(-.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 0 binary32)) #s(literal -1/2 binary32))
(-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))
(-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32)))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))
(fma.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 #s(literal -1 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (fma.f32 #s(literal 1/4 binary32) x #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal -1 binary32) #s(literal 1/2 binary32))
(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 1/4 binary32) x)) (/.f32 #s(literal -1 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (fma.f32 #s(literal 0 binary32) x (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/4 binary32) (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 (neg.f32 x) s) #s(literal -1/4 binary32) #s(literal 1/2 binary32))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/2 binary32))
(fma.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1 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))
(fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32))
(fma.f32 (neg.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 x (fma.f32 #s(literal 0 binary32) x (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32))
(+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 0 binary32)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(neg.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal -1/2 binary32)))
(neg.f32 (+.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 0 binary32))))
(neg.f32 (-.f32 #s(literal -1/2 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)))
(neg.f32 (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) s) x)
(*.f32 (/.f32 x s) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s))
(*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s))
(*.f32 x (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x (neg.f32 (neg.f32 s)))
(/.f32 x s)
(neg.f32 (/.f32 (neg.f32 x) s))
#s(literal 1/4 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) #s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(pow.f32 #s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal -1 binary32))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))
(neg.f32 (/.f32 #s(literal -1 binary32) #s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #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))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1 binary32))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
(+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(neg.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)))
#s(literal 2 binary32)
(*.f32 (/.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) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (neg.f32 (sinh.f32 (/.f32 x s))))
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (neg.f32 (sinh.f32 (/.f32 x s))) #s(literal 1 binary32)))
(+.f32 (cosh.f32 (/.f32 x s)) (-.f32 (neg.f32 (sinh.f32 (/.f32 x s))) #s(literal -1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(neg.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(sqrt.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (neg.f32 (sinh.f32 (/.f32 x s)))))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) x) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(fabs.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fabs.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 #s(literal 1 binary32) (E.f32)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (E.f32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (E.f32)))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 #s(literal 1 binary32) (E.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 (E.f32) (E.f32)))) (exp.f32 #s(literal 1/3 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (E.f32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (E.f32))))
(/.f32 #s(literal 1 binary32) (fabs.f32 (neg.f32 (E.f32))))
(/.f32 #s(literal 1 binary32) (E.f32))
(-.f32 (cosh.f32 #s(literal 1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(pow.f32 (E.f32) #s(literal -1 binary32))
(+.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32)))
(fabs.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (E.f32))))
(fabs.f32 (/.f32 #s(literal 1 binary32) (E.f32)))
(exp.f32 #s(literal -1 binary32))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (E.f32))))
(neg.f32 (/.f32 #s(literal -1 binary32) (E.f32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (E.f32))))
(E.f32)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(literal 1/2 binary32))
#s(approx (/ 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)) -1)) (fma.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal -5 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) #s(literal 2 binary32))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
#s(approx (- (exp (/ (neg x) s)) -1) (fma.f32 (fma.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.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 (/ x s) (/.f32 x s))
#s(approx (/ 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)) -1)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (fma.f32 (fma.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s)) #s(literal 0 binary32)) #s(literal 0 binary32)) x (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
#s(approx (- (exp (/ (neg x) s)) -1) (fma.f32 (fma.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)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.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 (/ 1 (- (exp (/ (neg x) s)) -1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (+ (* (/ x 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 (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x))
#s(approx s s)
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))
#s(approx (/ 1 (- (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)) -1)) (-.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32) (*.f32 #s(literal 0 binary32) x)) (*.f32 (*.f32 s s) s))) #s(literal -1/2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
#s(approx (- (exp (/ (neg x) s)) -1) (fma.f32 (*.f32 x (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s)))) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 x (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s)))) #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
#s(approx (/ 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)) -1)) (-.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32) (*.f32 #s(literal 0 binary32) x)) (*.f32 (*.f32 s s) s))) #s(literal -1/2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
#s(approx (- (exp (/ (neg x) s)) -1) (fma.f32 (*.f32 x (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s)))) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 x (*.f32 x (/.f32 x (*.f32 (*.f32 s s) s)))) #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
#s(approx (/ 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)) -1)) (-.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (/.f32 (fma.f32 (*.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/48 binary32) (fma.f32 #s(literal 0 binary32) x #s(literal 0 binary32))) s)) s) #s(literal -1/2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s)))
#s(approx (/ 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)) -1)) (-.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (/.f32 (fma.f32 (*.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/48 binary32) (fma.f32 #s(literal 0 binary32) x #s(literal 0 binary32))) s)) s) #s(literal -1/2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s)))

eval13.0ms (0.6%)

Memory
37.3MiB live, 37.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 223 to 657 computations (46.3% saved)

prune14.0ms (0.6%)

Memory
-24.1MiB live, 27.7MiB allocated; 4ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1748182
Fresh101
Picked235
Done000
Total17711188
Accuracy
100.0%
Counts
188 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s)) #s(literal -1 binary32)))
▶59.6%
(/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) #s(literal -1 binary32)))
✓99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
▶39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))))
✓39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x))))
▶30.0%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
30.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
▶29.9%
#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)))
✓35.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 286 to 284 computations (0.7% saved)

series40.0ms (1.7%)

Memory
-11.7MiB live, 79.7MiB allocated; 12ms collecting garbage
Counts
32 → 104
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (E.f32))
(E.f32)
(/.f32 x s)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32)))
(fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) s)
#s(literal 2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal -1/4 binary32) s)
#s(literal -1/4 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) #s(literal -1 binary32)))
(-.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) #s(literal -1 binary32))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(cosh.f32 (/.f32 x s))
(sinh.f32 (/.f32 x s))
Outputs
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* -1/4 (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))) (* 1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2)))))) (* 1/4 (/ (log (/ 1 (E))) s)))))))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (log (/ 1 (E))) (+ (* -1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))) (* 1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))))) s)) (+ (* -1/16 (/ (pow (log (/ 1 (E))) 3) (pow s 3))) (* 1/24 (/ (pow (log (/ 1 (E))) 3) (pow s 3))))))) (+ (* -1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))) (* 1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2)))))) (* 1/4 (/ (log (/ 1 (E))) s)))))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 2))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (/ (* x (log (/ 1 (E)))) s))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (* x (+ (* 1/2 (/ (* x (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (log (/ 1 (E))) s))))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (* x (+ (* x (+ (* 1/6 (/ (* x (pow (log (/ 1 (E))) 3)) (pow s 3))) (* 1/2 (/ (pow (log (/ 1 (E))) 2) (pow s 2))))) (/ (log (/ 1 (E))) s))))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 1))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (/ (* x (log (/ 1 (E)))) s))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (* x (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (log (/ 1 (E))) s))))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ (* x (pow (log (/ 1 (E))) 3)) (pow s 3))) (* 1/2 (/ (pow (log (/ 1 (E))) 2) (pow s 2))))) (/ (log (/ 1 (E))) s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 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 (- (/ 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 (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* 1/2 (/ (pow x 2) (pow s 2))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* 1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* (pow x 2) (+ (* 1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (/ (* x (log (/ 1 (E)))) s))))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 1 (exp (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (exp (/ (* x (log (/ 1 (E)))) s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ 1/4 s) x) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ 1/4 s) x) 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 (+ (* (/ -1 s) x) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* (/ -1 s) x) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#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 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (- (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
#s(approx (+ (* (/ -1 s) x) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ 1/4 s) x) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* (/ -1 s) x) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ -1 s) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ -1/4 s) #s(hole binary32 (/ -1/4 s)))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2)))) (pow s 2)))) (* 1/4 (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* x (* (log (/ 1 (E))) (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))))))) (+ (* -1/16 (* (pow x 3) (pow (log (/ 1 (E))) 3))) (* 1/24 (* (pow x 3) (pow (log (/ 1 (E))) 3))))) (pow s 3)))) (+ (* -1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (* 1/4 (/ (* x (log (/ 1 (E)))) s)))))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) (pow s 3))) (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s))))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) (pow s 3))) (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 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 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))))
#s(approx (/ 1 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (pow s 2)))) (* -1/8 (/ (- x (* -1 x)) s)))))
#s(approx (/ 1 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* 1/4 (* (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- x (* -1 x)))) (* 1/4 (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (pow s 3)))) (+ (* -1/8 (/ (- x (* -1 x)) s)) (+ (* -1/32 (/ (pow (- x (* -1 x)) 2) (pow s 2))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2))))))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (+ 2 (* -1/2 (/ (- x (* -1 x)) s)))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2)))))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (- (+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1/2 (/ (- x (* -1 x)) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2)))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (- (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* 1/2 (/ (- x (* -1 x)) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s)))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s))) (* -1/4 (* x (log (/ 1 (E)))))) s)))))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/24 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (+ (* 1/16 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (* 1/2 (/ (* x (* (log (/ 1 (E))) (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2)))))) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))))) s)) (* -1/4 (* x (log (/ 1 (E)))))) s)))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s))) s)))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1 (/ (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (/ 1 (E))) 2)))) s))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1 (/ (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (/ 1 (E))) 2)))) s))) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 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 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))))
#s(approx (/ 1 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (* -1/8 (- (* -1 x) x))) s)))))
#s(approx (/ 1 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (- (* -1 x) x) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (/ (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- (* -1 x) x)) s)) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)))) (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* -1/8 (- (* -1 x) x))) s)))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (+ 2 (* 1/2 (/ (- (* -1 x) x) s)))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* 1/2 (/ (- (* -1 x) x) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1/2 (/ (- (* -1 x) x) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) 1 (- (pow (/ 1 (E)) (/ x s)) -1) (pow (/ 1 (E)) (/ x s)) (/ 1 (E)) (E) (/ x s) x s -1 (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ -1 s) x) 2) (/ -1 s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1/2 x) (/ -1/4 s) -1/4 (/ 1 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (- (cosh (/ x s)) (sinh (/ x s))) (cosh (/ x s)) (sinh (/ x s)))
7.0ms
x
@inf
((/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) 1 (- (pow (/ 1 (E)) (/ x s)) -1) (pow (/ 1 (E)) (/ x s)) (/ 1 (E)) (E) (/ x s) x s -1 (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ -1 s) x) 2) (/ -1 s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1/2 x) (/ -1/4 s) -1/4 (/ 1 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (- (cosh (/ x s)) (sinh (/ x s))) (cosh (/ x s)) (sinh (/ x s)))
6.0ms
s
@inf
((/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) 1 (- (pow (/ 1 (E)) (/ x s)) -1) (pow (/ 1 (E)) (/ x s)) (/ 1 (E)) (E) (/ x s) x s -1 (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ -1 s) x) 2) (/ -1 s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1/2 x) (/ -1/4 s) -1/4 (/ 1 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (- (cosh (/ x s)) (sinh (/ x s))) (cosh (/ x s)) (sinh (/ x s)))
5.0ms
s
@-inf
((/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) 1 (- (pow (/ 1 (E)) (/ x s)) -1) (pow (/ 1 (E)) (/ x s)) (/ 1 (E)) (E) (/ x s) x s -1 (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ -1 s) x) 2) (/ -1 s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1/2 x) (/ -1/4 s) -1/4 (/ 1 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (- (cosh (/ x s)) (sinh (/ x s))) (cosh (/ x s)) (sinh (/ x s)))
5.0ms
s
@0
((/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) 1 (- (pow (/ 1 (E)) (/ x s)) -1) (pow (/ 1 (E)) (/ x s)) (/ 1 (E)) (E) (/ x s) x s -1 (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ -1 s) x) 2) (/ -1 s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1/2 x) (/ -1/4 s) -1/4 (/ 1 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (- (cosh (/ x s)) (sinh (/ x s))) (cosh (/ x s)) (sinh (/ x s)))

rewrite160.0ms (6.9%)

Memory
24.4MiB live, 254.4MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07164758
07463796
131063359
087753179
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
136 → 349
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (E.f32))
(E.f32)
(/.f32 x s)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32)))
(fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) s)
#s(literal 2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal -1/4 binary32) s)
#s(literal -1/4 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) #s(literal -1 binary32)))
(-.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) #s(literal -1 binary32))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(cosh.f32 (/.f32 x s))
(sinh.f32 (/.f32 x s))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* -1/4 (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))) (* 1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2)))))) (* 1/4 (/ (log (/ 1 (E))) s)))))))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (log (/ 1 (E))) (+ (* -1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))) (* 1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))))) s)) (+ (* -1/16 (/ (pow (log (/ 1 (E))) 3) (pow s 3))) (* 1/24 (/ (pow (log (/ 1 (E))) 3) (pow s 3))))))) (+ (* -1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2))) (* 1/8 (/ (pow (log (/ 1 (E))) 2) (pow s 2)))))) (* 1/4 (/ (log (/ 1 (E))) s)))))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 2))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (/ (* x (log (/ 1 (E)))) s))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (* x (+ (* 1/2 (/ (* x (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (log (/ 1 (E))) s))))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (* x (+ (* x (+ (* 1/6 (/ (* x (pow (log (/ 1 (E))) 3)) (pow s 3))) (* 1/2 (/ (pow (log (/ 1 (E))) 2) (pow s 2))))) (/ (log (/ 1 (E))) s))))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 1))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (/ (* x (log (/ 1 (E)))) s))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (* x (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (log (/ 1 (E))) s))))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ (* x (pow (log (/ 1 (E))) 3)) (pow s 3))) (* 1/2 (/ (pow (log (/ 1 (E))) 2) (pow s 2))))) (/ (log (/ 1 (E))) s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 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 (- (/ 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 (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* 1/2 (/ (pow x 2) (pow s 2))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* 1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* (pow x 2) (+ (* 1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (/ (* x (log (/ 1 (E)))) s))))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 1 (exp (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (exp (/ (* x (log (/ 1 (E)))) s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ 1/4 s) x) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ 1/4 s) x) 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 (+ (* (/ -1 s) x) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* (/ -1 s) x) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#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 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (- (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
#s(approx (+ (* (/ -1 s) x) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ 1/4 s) x) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* (/ -1 s) x) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ -1 s) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ -1/4 s) #s(hole binary32 (/ -1/4 s)))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2)))) (pow s 2)))) (* 1/4 (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* x (* (log (/ 1 (E))) (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))))))) (+ (* -1/16 (* (pow x 3) (pow (log (/ 1 (E))) 3))) (* 1/24 (* (pow x 3) (pow (log (/ 1 (E))) 3))))) (pow s 3)))) (+ (* -1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (* 1/4 (/ (* x (log (/ 1 (E)))) s)))))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) (pow s 3))) (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s))))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) (pow s 3))) (+ (* 1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) (pow s 2))) (/ (* x (log (/ 1 (E)))) s))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 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 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))))
#s(approx (/ 1 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (pow s 2)))) (* -1/8 (/ (- x (* -1 x)) s)))))
#s(approx (/ 1 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* 1/4 (* (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- x (* -1 x)))) (* 1/4 (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (pow s 3)))) (+ (* -1/8 (/ (- x (* -1 x)) s)) (+ (* -1/32 (/ (pow (- x (* -1 x)) 2) (pow s 2))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2))))))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (+ 2 (* -1/2 (/ (- x (* -1 x)) s)))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2)))))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (- (+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1/2 (/ (- x (* -1 x)) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2)))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (- (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* 1/2 (/ (- x (* -1 x)) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s)))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s))) (* -1/4 (* x (log (/ 1 (E)))))) s)))))
#s(approx (/ 1 (- (pow (/ 1 (E)) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/24 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (+ (* 1/16 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (* 1/2 (/ (* x (* (log (/ 1 (E))) (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2)))))) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))) (* 1/8 (* (pow x 2) (pow (log (/ 1 (E))) 2))))) s)) (* -1/4 (* x (log (/ 1 (E)))))) s)))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s))) s)))))
#s(approx (- (pow (/ 1 (E)) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1 (/ (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (/ 1 (E))) 2)))) s))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1/2 (/ (* (pow x 2) (pow (log (/ 1 (E))) 2)) s))) s)))))
#s(approx (pow (/ 1 (E)) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (* x (log (/ 1 (E))))) (* -1 (/ (+ (* 1/6 (/ (* (pow x 3) (pow (log (/ 1 (E))) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (/ 1 (E))) 2)))) s))) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 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 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))))
#s(approx (/ 1 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (* -1/8 (- (* -1 x) x))) s)))))
#s(approx (/ 1 (- (- (cosh (/ x s)) (sinh (/ x s))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (- (* -1 x) x) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (/ (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- (* -1 x) x)) s)) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)))) (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* -1/8 (- (* -1 x) x))) s)))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (+ 2 (* 1/2 (/ (- (* -1 x) x) s)))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* 1/2 (/ (- (* -1 x) x) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1/2 (/ (- (* -1 x) x) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))))
Outputs
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
#s(literal 1 binary32)
(-.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s))))))
(-.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) (neg.f32 (neg.f32 (sinh.f32 (/.f32 x s)))))
(-.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) (sinh.f32 (/.f32 x s)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) #s(literal 1/2 binary32) (neg.f32 (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
(fma.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s)))) #s(literal 1 binary32))
(fma.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) (neg.f32 (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 x s)))) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s)))))
(+.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) (neg.f32 (sinh.f32 (/.f32 x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(neg.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 x s)))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(sqrt.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s))))) #s(literal 4 binary32))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s)))) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s))))))
(-.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (neg.f32 (sinh.f32 (/.f32 x s)))))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s)))))
(fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) #s(literal 1/2 binary32) (neg.f32 (sinh.f32 (/.f32 x s))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s)))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) (neg.f32 (sinh.f32 (/.f32 x s))))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) x)
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) x) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s)))))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(fabs.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fabs.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (E.f32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (E.f32)))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 #s(literal 1 binary32) (E.f32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (E.f32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (E.f32))))
(/.f32 #s(literal 1 binary32) (fabs.f32 (neg.f32 (E.f32))))
(/.f32 #s(literal 1 binary32) (E.f32))
(-.f32 (cosh.f32 #s(literal 1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(pow.f32 (E.f32) #s(literal -1 binary32))
(+.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32)))
(fabs.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (E.f32))))
(fabs.f32 (/.f32 #s(literal 1 binary32) (E.f32)))
(exp.f32 #s(literal -1 binary32))
(E.f32)
(*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s))
(*.f32 x (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal -1/2 binary32))
(-.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))
(fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))))
(+.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(neg.f32 (+.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))))
(neg.f32 (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
(neg.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))
(*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s))
(*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal -1/4 binary32) (neg.f32 s))
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#s(approx (cosh (/ x s)) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) #s(literal 1 binary32)))
#s(approx (cosh (/ x s)) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) (pow.f32 s #s(literal -4 binary32))) #s(literal 1/24 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (cosh (/ x s)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (pow.f32 s #s(literal -6 binary32)) (*.f32 (pow.f32 s #s(literal -4 binary32)) #s(literal 1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sinh (/ x s)) (*.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (sinh (/ x s)) (fma.f32 x (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 s #s(literal -5 binary32)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x)) (/.f32 x s)))
#s(approx (sinh (/ x s)) (fma.f32 x (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/5040 binary32) (*.f32 x x)) (pow.f32 s #s(literal -7 binary32)) (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x)) (/.f32 x s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal -1/2 binary32) x)) x))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (+ (* (/ -1 s) x) 2) (/.f32 (neg.f32 x) s))
#s(approx (+ (* (/ -1 s) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) (-.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal -1/2 binary32) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (cosh (/ x s)) (cosh.f32 (/.f32 x s)))
#s(approx (sinh (/ x s)) (sinh.f32 (/.f32 x s)))
#s(approx (+ (* (/ -1 s) x) 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 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
#s(approx (+ (* (/ -1 s) x) 2) (/.f32 (-.f32 (+.f32 s s) x) s))
#s(approx (/ -1 s) (/.f32 #s(literal -1 binary32) s))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s))
#s(approx (/ -1/4 s) (/.f32 #s(literal -1/4 binary32) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32) #s(literal 1/2 binary32)) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) #s(literal 0 binary32))) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 x x) (neg.f32 x)) #s(literal -1/48 binary32))) (*.f32 (*.f32 s s) s))) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (-.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal -2 binary32)))
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#s(approx (- (cosh (/ x s)) (sinh (/ x s))) (-.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (neg.f32 x)) (*.f32 (*.f32 s s) s)) #s(literal 1/6 binary32) (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 x s))) #s(literal -1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (-.f32 #s(literal 1/2 binary32) (/.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 (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (-.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal -2 binary32)))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (-.f32 (-.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 x s)) #s(literal -2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal -1/8 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))) #s(literal 1/4 binary32) (*.f32 (*.f32 (+.f32 x x) (+.f32 x x)) #s(literal -1/32 binary32))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (+.f32 x x)) (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))) (*.f32 #s(literal 1/4 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))) #s(literal 1/4 binary32) (*.f32 (*.f32 (+.f32 x x) (+.f32 x x)) #s(literal -1/32 binary32))) (+.f32 x x) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x)) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x)))))))) (*.f32 (*.f32 s s) s))) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal -1/8 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))) #s(literal 1/4 binary32) (*.f32 (*.f32 (+.f32 x x) (+.f32 x x)) #s(literal -1/32 binary32))) (*.f32 s s)))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal -1/2 binary32) #s(literal 2 binary32)))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (+.f32 (fma.f32 (/.f32 (+.f32 x x) s) #s(literal -1/2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))) (*.f32 s s))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (-.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x)) (*.f32 (*.f32 s s) s)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) #s(literal -2 binary32)) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x))) (*.f32 (*.f32 s s) s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 s s)))))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) (+.f32 (fma.f32 (/.f32 (+.f32 x x) s) #s(literal -1/2 binary32) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))) (*.f32 s s))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) (-.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x)) (*.f32 (*.f32 s s) s)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x))) (*.f32 (*.f32 s s) s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) (*.f32 s s)))))))
#s(approx (cosh (/ x s)) (-.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x)) (*.f32 (*.f32 s s) s)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) #s(literal -1 binary32)))
#s(approx (cosh (/ x s)) (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x)) x))) (pow.f32 s #s(literal -4 binary32)) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x)) (*.f32 (*.f32 s s) s)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
#s(approx (sinh (/ x s)) (*.f32 (/.f32 (+.f32 x x) s) #s(literal 1/2 binary32)))
#s(approx (sinh (/ x s)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 x x) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s))) s))
#s(approx (sinh (/ x s)) (/.f32 (fma.f32 (+.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x))) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s)))) s))
#s(approx (sinh (/ x s)) (/.f32 (fma.f32 (+.f32 x x) #s(literal 1/2 binary32) (fma.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/24 binary32) (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x)) x)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/8 binary32)))) (*.f32 (*.f32 s s) s)) #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x))) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s))))) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal 1/4 binary32) (neg.f32 x))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (neg.f32 x) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (neg.f32 x)) s) #s(literal -1/24 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) #s(literal 0 binary32))) (*.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (neg.f32 x)))) s) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (neg.f32 s))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) (neg.f32 x)) s) #s(literal 1/6 binary32))) s)) (neg.f32 x)) s)))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) (neg.f32 x)) s) #s(literal 1/6 binary32))) s)) (neg.f32 x)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (neg.f32 s))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))) #s(literal 1/4 binary32) (*.f32 (*.f32 (+.f32 x x) (+.f32 x x)) #s(literal -1/32 binary32))) s) (*.f32 (-.f32 (neg.f32 x) x) #s(literal -1/8 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal -1/8 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 (neg.f32 x) x) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))) s)) #s(literal 1/16 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))) #s(literal 1/4 binary32) (*.f32 (*.f32 (+.f32 x x) (+.f32 x x)) #s(literal -1/32 binary32))) (-.f32 (neg.f32 x) x) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32)) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32))))))) s) (-.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))))) (*.f32 (*.f32 (+.f32 x x) (+.f32 x x)) #s(literal -1/32 binary32))))) s)) (neg.f32 s))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32)))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))) s)) (neg.f32 s))))
#s(approx (- (- (cosh (/ x s)) (sinh (/ x s))) -1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32)) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)))))) s) (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))))) (neg.f32 s))) (neg.f32 s))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 1 binary32)))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))))) s)) (neg.f32 s))))
#s(approx (- (cosh (/ x s)) (sinh (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32)) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)))))) s) (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))))) (neg.f32 s))) (neg.f32 s))))
#s(approx (cosh (/ x s)) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) s)) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1 binary32)))
#s(approx (cosh (/ x s)) (-.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x)) x (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/6 binary32)))) s) #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32))) #s(literal -1/2 binary32))) (*.f32 (*.f32 s s) s))) #s(literal -1 binary32)))
#s(approx (sinh (/ x s)) (*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/2 binary32)))
#s(approx (sinh (/ x s)) (neg.f32 (/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s) #s(literal -1/2 binary32))) s)))
#s(approx (sinh (/ x s)) (neg.f32 (/.f32 (-.f32 (*.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32)) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)))) s) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) #s(literal 1/2 binary32))) s)) s)))
#s(approx (sinh (/ x s)) (neg.f32 (/.f32 (-.f32 (*.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32)) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) #s(literal 1/2 binary32)) (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32)) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/24 binary32)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x)) x)))) s) #s(literal -1/2 binary32))) s)) s)) s)))

eval31.0ms (1.3%)

Memory
14.4MiB live, 70.7MiB allocated; 15ms collecting garbage
Compiler

Compiled 3 019 to 1 325 computations (56.1% saved)

prune11.0ms (0.5%)

Memory
-24.5MiB live, 21.6MiB allocated; 3ms collecting garbage
Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New2635268
Fresh123
Picked145
Done033
Total26514279
Accuracy
100.0%
Counts
279 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s)) #s(literal -1 binary32)))
✓99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
▶58.9%
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
✓39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))))
✓39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x))))
▶17.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 2) (/.f32 (neg.f32 x) s))))
✓30.0%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
▶30.0%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #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)))
21.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/4 binary32))) (*.f32 x s)) x)))
✓29.9%
#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)))
▶35.8%
#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)))
✓35.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 355 to 353 computations (0.6% saved)

series23.0ms (1%)

Memory
0.6MiB live, 46.8MiB allocated; 3ms collecting garbage
Counts
32 → 95
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
#s(literal 1 binary32)
(-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32)))
(cosh.f32 (/.f32 x s))
(/.f32 x s)
x
s
(-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))
(sinh.f32 (/.f32 x 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 (+ (* (/ -1 s) x) 2) (/.f32 (neg.f32 x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 2) (/.f32 (neg.f32 x) s)))
#s(approx (+ (* (/ -1 s) x) 2) (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) 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 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s)))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))
(/.f32 (-.f32 (+.f32 s s) x) s)
(-.f32 (+.f32 s s) x)
(+.f32 s s)
Outputs
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 2))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (cosh (/ x s)) #s(hole binary32 1))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* 1/2 (/ (pow x 2) (pow s 2))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 -1))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (/ x s) 1)))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* x (+ (* 1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))) 1)))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* x (+ (* (pow x 2) (+ (* 1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s))) 1)))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* 1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* (pow x 2) (+ (* 1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 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 (- (+ s s) x) #s(hole binary32 (* 2 s)))
#s(approx (- (+ s s) x) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))) 1)))
#s(approx (sinh (/ x s)) #s(hole binary32 (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (- (/ 1/2 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 (+ (* (/ -1 s) x) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* x (+ 1/4 (* 1/2 (/ s x))))))
#s(approx (- (+ s s) x) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (* (/ -1 s) x) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s 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 (- (/ 1/2 x) (/ -1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (+ (* (/ -1 s) x) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (- (+ s s) x) #s(hole binary32 (- (* 2 s) x)))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (pow s 2)))) (* -1/8 (/ (- x (* -1 x)) s)))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* 1/4 (* (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- x (* -1 x)))) (* 1/4 (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (pow s 3)))) (+ (* -1/8 (/ (- x (* -1 x)) s)) (+ (* -1/32 (/ (pow (- x (* -1 x)) 2) (pow s 2))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2))))))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* -1/2 (/ (- x (* -1 x)) s)))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2)))))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* 1/2 (/ (- x (* -1 x)) s)) 1)))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (+ (* 1/2 (/ (- x (* -1 x)) s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2)))) 1)))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (+ (* 1/2 (/ (- x (* -1 x)) s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))))) 1)))
#s(approx (sinh (/ x s)) #s(hole binary32 (* 1/2 (/ (- x (* -1 x)) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s)))
#s(approx (/ 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 (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* s (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (- (+ s s) x) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (* -1/8 (- (* -1 x) x))) s)))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (- (* -1 x) x) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (/ (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- (* -1 x) x)) s)) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)))) (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* -1/8 (- (* -1 x) x))) s)))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* 1/2 (/ (- (* -1 x) x) s)))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* -1/2 (/ (- (* -1 x) x) s)) 1)))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s)) 1)))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)) 1)))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1/2 (/ (- (* -1 x) x) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (/ 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 (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
s
@inf
((/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (cosh (/ x s)) (/ x s) x s (- (sinh (/ x s)) 1) (sinh (/ x 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))) (+ (* (/ -1 s) x) 2) (/ (neg x) s) (neg x) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/2 s) (* 1/4 x)) s) (+ (* 1/2 s) (* 1/4 x)) (* 1/4 x) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ (- (+ s s) x) s) (- (+ s s) x) (+ s s))
4.0ms
x
@-inf
((/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (cosh (/ x s)) (/ x s) x s (- (sinh (/ x s)) 1) (sinh (/ x 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))) (+ (* (/ -1 s) x) 2) (/ (neg x) s) (neg x) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/2 s) (* 1/4 x)) s) (+ (* 1/2 s) (* 1/4 x)) (* 1/4 x) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ (- (+ s s) x) s) (- (+ s s) x) (+ s s))
4.0ms
x
@inf
((/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (cosh (/ x s)) (/ x s) x s (- (sinh (/ x s)) 1) (sinh (/ x 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))) (+ (* (/ -1 s) x) 2) (/ (neg x) s) (neg x) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/2 s) (* 1/4 x)) s) (+ (* 1/2 s) (* 1/4 x)) (* 1/4 x) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ (- (+ s s) x) s) (- (+ s s) x) (+ s s))
3.0ms
s
@0
((/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (cosh (/ x s)) (/ x s) x s (- (sinh (/ x s)) 1) (sinh (/ x 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))) (+ (* (/ -1 s) x) 2) (/ (neg x) s) (neg x) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/2 s) (* 1/4 x)) s) (+ (* 1/2 s) (* 1/4 x)) (* 1/4 x) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ (- (+ s s) x) s) (- (+ s s) x) (+ s s))
3.0ms
s
@-inf
((/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (cosh (/ x s)) (/ x s) x s (- (sinh (/ x s)) 1) (sinh (/ x 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))) (+ (* (/ -1 s) x) 2) (/ (neg x) s) (neg x) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/2 s) (* 1/4 x)) s) (+ (* 1/2 s) (* 1/4 x)) (* 1/4 x) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ (- (+ s s) x) s) (- (+ s s) x) (+ s s))

rewrite148.0ms (6.4%)

Memory
37.0MiB live, 221.9MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06003787
06243259
125082952
087192783
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
127 → 322
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
#s(literal 1 binary32)
(-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32)))
(cosh.f32 (/.f32 x s))
(/.f32 x s)
x
s
(-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))
(sinh.f32 (/.f32 x 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 (+ (* (/ -1 s) x) 2) (/.f32 (neg.f32 x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 2) (/.f32 (neg.f32 x) s)))
#s(approx (+ (* (/ -1 s) x) 2) (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) 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 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s)))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))
(/.f32 (-.f32 (+.f32 s s) x) s)
(-.f32 (+.f32 s s) x)
(+.f32 s s)
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 2))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (cosh (/ x s)) #s(hole binary32 1))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* 1/2 (/ (pow x 2) (pow s 2))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 -1))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (/ x s) 1)))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* x (+ (* 1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))) 1)))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* x (+ (* (pow x 2) (+ (* 1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s))) 1)))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* 1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* (pow x 2) (+ (* 1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 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 (- (+ s s) x) #s(hole binary32 (* 2 s)))
#s(approx (- (+ s s) x) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))) 1)))
#s(approx (sinh (/ x s)) #s(hole binary32 (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (- (/ 1/2 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 (+ (* (/ -1 s) x) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* x (+ 1/4 (* 1/2 (/ s x))))))
#s(approx (- (+ s s) x) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (* (/ -1 s) x) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s 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 (- (/ 1/2 x) (/ -1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (+ (* (/ -1 s) x) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (- (+ s s) x) #s(hole binary32 (- (* 2 s) x)))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (pow s 2)))) (* -1/8 (/ (- x (* -1 x)) s)))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* 1/4 (* (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- x (* -1 x)))) (* 1/4 (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (pow s 3)))) (+ (* -1/8 (/ (- x (* -1 x)) s)) (+ (* -1/32 (/ (pow (- x (* -1 x)) 2) (pow s 2))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2))))))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* -1/2 (/ (- x (* -1 x)) s)))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2)))))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* 1/2 (/ (- x (* -1 x)) s)) 1)))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (+ (* 1/2 (/ (- x (* -1 x)) s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2)))) 1)))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (+ (* 1/2 (/ (- x (* -1 x)) s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))))) 1)))
#s(approx (sinh (/ x s)) #s(hole binary32 (* 1/2 (/ (- x (* -1 x)) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s)))
#s(approx (sinh (/ x s)) #s(hole binary32 (/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s)))
#s(approx (/ 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 (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* s (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (- (+ s s) x) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (* -1/8 (- (* -1 x) x))) s)))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (- (* -1 x) x) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (/ (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- (* -1 x) x)) s)) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)))) (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* -1/8 (- (* -1 x) x))) s)))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* 1/2 (/ (- (* -1 x) x) s)))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (cosh (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* -1/2 (/ (- (* -1 x) x) s)) 1)))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s)) 1)))
#s(approx (- (sinh (/ x s)) 1) #s(hole binary32 (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)) 1)))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1/2 (/ (- (* -1 x) x) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (sinh (/ x s)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))))
#s(approx (/ 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 (+ (* 1/2 s) (* 1/4 x)) #s(hole binary32 (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))))
#s(approx (- (+ s s) x) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
Outputs
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(literal 1 binary32)
(-.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s))))))
(-.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) (sinh.f32 (/.f32 x s)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 x s))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))
(fma.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) (-.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 x s))))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) (*.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s)))) #s(literal 1/2 binary32)))
(+.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s)))))
(+.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) (neg.f32 (sinh.f32 (/.f32 x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 (cosh.f32 (/.f32 x s)) (-.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(neg.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s)))) #s(literal -2 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) #s(literal 2 binary32))
(-.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)) (/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
(-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 x s))) (*.f32 #s(literal -1/2 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 x s))) (neg.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 x s)))))
(-.f32 (*.f32 (exp.f32 (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32)))
(-.f32 (*.f32 (exp.f32 (/.f32 x s)) #s(literal 1/2 binary32)) (neg.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))))
(fma.f32 (exp.f32 (/.f32 x s)) #s(literal 1/2 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 x s)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 x s))))
(+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)))
(+.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
(+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 x s))))
(+.f32 (*.f32 (exp.f32 (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
(cosh.f32 (/.f32 (neg.f32 x) s))
(cosh.f32 (/.f32 x s))
(neg.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) #s(literal -1/2 binary32)))
(neg.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) #s(literal -2 binary32)))
(*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s))
(*.f32 x (/.f32 #s(literal 1 binary32) s))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) s)
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
(neg.f32 (/.f32 (neg.f32 x) s))
x
s
(-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))
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#s(approx (sinh (/ x s)) (fma.f32 x (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/5040 binary32) (*.f32 x x)) (pow.f32 s #s(literal -7 binary32)) (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x)) (/.f32 x s)))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s))
#s(approx (+ (* 1/2 s) (* 1/4 x)) (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)))
#s(approx (* 1/4 x) (*.f32 #s(literal 1/4 binary32) x))
#s(approx (- (+ s s) x) (+.f32 s s))
#s(approx (- (+ s s) x) (-.f32 (+.f32 s s) x))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (cosh (/ x s)) (cosh.f32 (/.f32 x s)))
#s(approx (- (sinh (/ x s)) 1) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32)))
#s(approx (sinh (/ x s)) (sinh.f32 (/.f32 x s)))
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#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal -1/2 binary32) x)) x))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) (-.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal -1/2 binary32) x)))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) x))
#s(approx (- (+ s s) x) (*.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x))
#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (+ (* 1/2 s) (* 1/4 x)) (neg.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal -1/4 binary32)) x)))
#s(approx (- (+ s s) x) (*.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x))
#s(approx s s)
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
#s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))
#s(approx (- (+ s s) x) (-.f32 (+.f32 s s) x))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (/.f32 (+.f32 x x) s) (/.f32 (fma.f32 (*.f32 (+.f32 x x) (+.f32 x x)) #s(literal -1/32 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) #s(literal 1/4 binary32))) (*.f32 s s)))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) (-.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (+.f32 x x)) (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) (*.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (fma.f32 (*.f32 (+.f32 x x) (+.f32 x x)) #s(literal -1/32 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) #s(literal 1/4 binary32))) (+.f32 x x)) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x))) #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) #s(literal -1/2 binary32)))))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (+.f32 x x) s) (/.f32 (fma.f32 (*.f32 (+.f32 x x) (+.f32 x x)) #s(literal -1/32 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) #s(literal 1/4 binary32))) (*.f32 s s)))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal -1/2 binary32) #s(literal 2 binary32)))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (+.f32 (fma.f32 (/.f32 (+.f32 x x) s) #s(literal -1/2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) (*.f32 s s))))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (-.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) (*.f32 (*.f32 s s) s)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) #s(literal -2 binary32)) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x))) (*.f32 (*.f32 s s) s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))))
#s(approx (cosh (/ x s)) (-.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) (*.f32 (*.f32 s s) s)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) #s(literal -1 binary32)))
#s(approx (cosh (/ x s)) (-.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) x))) (pow.f32 s #s(literal -4 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) (*.f32 (*.f32 s s) s)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
#s(approx (- (sinh (/ x s)) 1) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal 1/2 binary32) #s(literal -1 binary32)))
#s(approx (- (sinh (/ x s)) 1) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (+.f32 x x) s) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))) #s(literal -1 binary32)))
#s(approx (- (sinh (/ x s)) 1) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x))) (*.f32 (*.f32 s s) s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))) #s(literal -1 binary32))))
#s(approx (sinh (/ x s)) (*.f32 (/.f32 (+.f32 x x) s) #s(literal 1/2 binary32)))
#s(approx (sinh (/ x s)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 x x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s))) s))
#s(approx (sinh (/ x s)) (/.f32 (fma.f32 (+.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x))) (*.f32 s s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)))) s))
#s(approx (sinh (/ x s)) (/.f32 (fma.f32 (+.f32 x x) #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x))) (*.f32 s s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) (*.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/24 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) x)) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s s) s)) #s(literal 1/2 binary32)))) s))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32)))))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) (-.f32 (-.f32 #s(literal 1/2 binary32) (/.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 (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (-.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal -2 binary32)))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (-.f32 #s(literal 2 binary32) (-.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))))
#s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))
#s(approx (- (+ s s) x) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) s))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (+.f32 x x) (+.f32 x x)) #s(literal -1/32 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) #s(literal 1/4 binary32))) s) (*.f32 #s(literal 1/8 binary32) (+.f32 x x))) s)))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (neg.f32 x) x) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) s)) #s(literal 1/16 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 (+.f32 x x) (+.f32 x x)) #s(literal -1/32 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) #s(literal 1/4 binary32))) (-.f32 (neg.f32 x) x) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)))))) s))) (fma.f32 (*.f32 (+.f32 x x) (+.f32 x x)) #s(literal -1/32 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)))) s) (*.f32 #s(literal -1/8 binary32) (+.f32 x x))) s) #s(literal -1/2 binary32)))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal -1/2 binary32) #s(literal 2 binary32)))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 x x (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) s) (*.f32 (+.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -2 binary32)))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x))) #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)))) s) (*.f32 #s(literal -1/2 binary32) (fma.f32 x x (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))))) s) (*.f32 (+.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -2 binary32)))
#s(approx (cosh (/ x s)) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) (*.f32 (*.f32 s s) s)) (/.f32 (*.f32 x x) (*.f32 s s))) #s(literal 1 binary32)))
#s(approx (cosh (/ x s)) (-.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) x))) s) #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) #s(literal -1/2 binary32))) (*.f32 (*.f32 s s) s))) #s(literal -1 binary32)))
#s(approx (- (sinh (/ x s)) 1) (fma.f32 (/.f32 (+.f32 x x) s) #s(literal 1/2 binary32) #s(literal -1 binary32)))
#s(approx (- (sinh (/ x s)) 1) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 x x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s))) s) #s(literal 1 binary32)))
#s(approx (- (sinh (/ x s)) 1) (-.f32 (/.f32 (fma.f32 (+.f32 x x) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x))) s) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) s)) s) #s(literal 1 binary32)))
#s(approx (sinh (/ x s)) (*.f32 (/.f32 (+.f32 x x) s) #s(literal 1/2 binary32)))
#s(approx (sinh (/ x s)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 x x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s))) s))
#s(approx (sinh (/ x s)) (/.f32 (fma.f32 (+.f32 x x) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x))) s) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) s)) s))
#s(approx (sinh (/ x s)) (/.f32 (-.f32 (*.f32 (+.f32 x x) #s(literal 1/2 binary32)) (/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) #s(literal 1/2 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) x))) #s(literal 1/2 binary32) (*.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/24 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) x)) x))) s) #s(literal -1/2 binary32))) s)) s)) s))
#s(approx (/ 1 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) (-.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 (- (cosh (/ x s)) (- (sinh (/ x s)) 1))) (-.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) s) #s(literal -1/2 binary32)))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
#s(approx (- (cosh (/ x s)) (- (sinh (/ x s)) 1)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) s)))
#s(approx (+ (* 1/2 s) (* 1/4 x)) (neg.f32 (*.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal -1/2 binary32)) s)))
#s(approx (- (+ s s) x) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) s))

eval23.0ms (1%)

Memory
7.7MiB live, 53.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 101 to 1 428 computations (54% saved)

prune16.0ms (0.7%)

Memory
-27.3MiB live, 27.6MiB allocated; 5ms collecting garbage
Pruning

18 alts after pruning (6 fresh and 12 done)

PrunedKeptTotal
New2835288
Fresh112
Picked055
Done077
Total28418302
Accuracy
100.0%
Counts
302 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s)) #s(literal -1 binary32)))
✓99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
✓58.9%
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
56.9%
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) #s(approx (- (sinh (/ x s)) 1) #s(literal -1 binary32))))
✓39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))))
✓39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 #s(approx (- (+ s s) x) (*.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x)) s))))
39.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
✓17.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 2) (/.f32 (neg.f32 x) s))))
17.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 2) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
✓30.0%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
✓30.0%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #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)))
35.9%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
21.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/4 binary32))) (*.f32 x s)) x)))
✓29.9%
#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)))
✓35.8%
#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)))
✓35.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 499 to 444 computations (11% saved)

regimes40.0ms (1.7%)

Memory
12.5MiB live, 58.0MiB allocated; 2ms 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)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 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 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 2) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
#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 (- (exp (/ (neg x) s)) -1)) #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))) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/4 binary32))) (*.f32 x s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 #s(approx (- (+ s s) x) (*.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x)) s))))
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) #s(approx (- (sinh (/ x s)) 1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
Calls

7 calls:

6.0ms
s
6.0ms
x
6.0ms
(neg.f32 x)
6.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
6.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.9%1(neg.f32 x)
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1x
99.9%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes32.0ms (1.4%)

Memory
-7.0MiB live, 79.2MiB allocated; 5ms collecting garbage
Counts
18 → 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)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 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 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 2) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
#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 (- (exp (/ (neg x) s)) -1)) #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))) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/4 binary32))) (*.f32 x s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 #s(approx (- (+ s s) x) (*.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x)) s))))
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) #s(approx (- (sinh (/ x s)) 1) #s(literal -1 binary32))))
Outputs
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) #s(approx (- (sinh (/ x s)) 1) #s(literal -1 binary32))))
Calls

7 calls:

6.0ms
s
6.0ms
(/.f32 (neg.f32 x) s)
5.0ms
x
5.0ms
(neg.f32 x)
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
65.9%2(neg.f32 x)
65.9%2(/.f32 (neg.f32 x) s)
65.9%2(exp.f32 (/.f32 (neg.f32 x) s))
65.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.9%2x
56.9%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes31.0ms (1.3%)

Memory
9.0MiB live, 63.0MiB allocated; 4ms collecting garbage
Counts
17 → 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)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 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 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 2) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
#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 (- (exp (/ (neg x) s)) -1)) #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))) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 x #s(literal -1/4 binary32))) (*.f32 x s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 #s(approx (- (+ s s) x) (*.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x)) s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
Calls

7 calls:

7.0ms
(neg.f32 x)
4.0ms
s
4.0ms
x
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
39.2%1s
48.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.0%2x
48.0%2(neg.f32 x)
48.8%2(/.f32 (neg.f32 x) s)
48.8%2(exp.f32 (/.f32 (neg.f32 x) s))
48.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes12.0ms (0.5%)

Memory
-20.8MiB live, 25.6MiB allocated; 2ms collecting garbage
Counts
11 → 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)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 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 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 2) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
#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 (- (exp (/ (neg x) s)) -1)) #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))) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 2 binary32))))
Calls

4 calls:

4.0ms
(/.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
48.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.8%2(/.f32 (neg.f32 x) s)
48.8%2(exp.f32 (/.f32 (neg.f32 x) s))
48.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes10.0ms (0.4%)

Memory
24.6MiB live, 24.6MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 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 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 2) (*.f32 (/.f32 #s(literal -1 binary32) s) x))))
#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 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
Calls

4 calls:

3.0ms
(/.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)))
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
48.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.8%2(/.f32 (neg.f32 x) s)
48.8%2(exp.f32 (/.f32 (neg.f32 x) s))
48.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes12.0ms (0.5%)

Memory
-17.7MiB live, 29.2MiB allocated; 2ms collecting garbage
Counts
6 → 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)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 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 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ -1 s) x) 2) (/.f32 (neg.f32 x) s))))
Calls

6 calls:

2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms
x
2.0ms
(neg.f32 x)
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
46.9%2x
46.9%2(neg.f32 x)
47.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
47.0%2(/.f32 (neg.f32 x) s)
47.0%2(exp.f32 (/.f32 (neg.f32 x) s))
47.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes9.0ms (0.4%)

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

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Calls

7 calls:

1.0ms
s
1.0ms
x
1.0ms
(neg.f32 x)
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
35.9%1s
35.9%1x
35.9%1(neg.f32 x)
35.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
35.9%1(/.f32 (neg.f32 x) s)
35.9%1(exp.f32 (/.f32 (neg.f32 x) s))
35.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.9985675811767578
1.999631404876709
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0000040531158447
1.5137629508972168
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0000040531158447
1.5137629508972168
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0000040531158447
1.5137629508972168
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.620614528656006
14.013137817382813
Compiler

Compiled 12 to 14 computations (-16.7% saved)

derivations493.0ms (21.4%)

Memory
-34.7MiB live, 392.6MiB allocated; 28ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 95 to 74 computations (22.1% saved)

preprocess44.0ms (1.9%)

Memory
34.4MiB live, 130.8MiB allocated; 8ms collecting garbage
Compiler

Compiled 104 to 82 computations (21.2% saved)

end0.0ms (0%)

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

Profiling

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