Logistic function

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze29.0ms (1.2%)

Memory
10.2MiB live, 57.2MiB allocated; 7ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample742.0ms (30.7%)

Memory
22.1MiB live, 1 066.1MiB allocated; 194ms collecting garbage
Samples
532.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 290.0ms
ival-div!: 114.0ms (39.3% of total)
ival-exp: 92.0ms (31.7% of total)
ival-neg: 61.0ms (21% of total)
ival-add!: 21.0ms (7.2% of total)
ival-and: 1.0ms (0.3% of total)
adjust: 1.0ms (0.3% of total)
ival-<=: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess53.0ms (2.2%)

Memory
-27.8MiB live, 76.1MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02450
17650
216150
355650
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 18 to 16 computations (11.1% saved)

series10.0ms (0.4%)

Memory
33.7MiB live, 33.7MiB allocated; 0ms collecting garbage
Counts
8 → 31
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Calls

6 calls:

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

rewrite179.0ms (7.4%)

Memory
-4.3MiB live, 272.2MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181784
0189698
11087689
08157663
Stop Event
iter-limit
node-limit
iter-limit
Counts
39 → 77
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Outputs
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
#s(literal 1 binary32)
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (neg.f32 (sinh.f32 (/.f32 x s))) (neg.f32 (sinh.f32 (/.f32 x s))))) (-.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s)))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sinh.f32 (/.f32 x s))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (neg.f32 (sinh.f32 (/.f32 x s))) (neg.f32 (sinh.f32 (/.f32 x s)))) (*.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 s))
(neg.f32 (/.f32 (neg.f32 (neg.f32 x)) s))
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx x x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx s s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32) #s(literal -1/2 binary32))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32))))) (*.f32 (*.f32 s s) s)) #s(literal -1/2 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (exp (/ (neg x) s)) (-.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal -1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s) (neg.f32 (*.f32 #s(literal -1/4 binary32) x))) s) #s(literal -1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s) (neg.f32 x)) s)))
#s(approx (exp (/ (neg x) s)) (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (-.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s) (neg.f32 x)) s) #s(literal -1 binary32)))

eval6.0ms (0.2%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 391 to 342 computations (75.4% saved)

prune4.0ms (0.2%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New64670
Fresh000
Picked101
Done000
Total65671
Accuracy
99.9%
Counts
71 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
38.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
99.3%
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
12.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
26.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
33.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 216 to 162 computations (25% saved)

series38.0ms (1.6%)

Memory
-35.5MiB live, 62.5MiB allocated; 14ms collecting garbage
Counts
34 → 77
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 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
(-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s)))
(/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32)))
(*.f32 #s(literal 1/480 binary32) (*.f32 x x))
#s(literal 1/480 binary32)
(*.f32 x x)
(pow.f32 s #s(literal 5 binary32))
#s(literal 5 binary32)
(/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))
#s(literal 1/48 binary32)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
(/.f32 #s(literal 1/4 binary32) s)
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 (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ -1/48 (pow s 3))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))))
#s(approx (/ (* 1/480 (* x x)) (pow s 5)) #s(hole binary32 (* 1/480 (/ (pow x 2) (pow s 5)))))
#s(approx (* 1/480 (* x x)) #s(hole binary32 (* 1/480 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#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 (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* 1/480 (/ (pow x 5) (pow s 5)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (* 1/4 (/ 1 (* s (pow x 4)))) (+ (* 1/480 (/ 1 (pow s 5))) (* 1/2 (/ 1 (pow x 5))))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* 1/480 (/ (pow x 4) (pow s 5)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* (pow x 2) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (/ 1/48 (* (pow s 3) (pow x 2))) (+ (* 1/480 (/ 1 (pow s 5))) (/ 1/4 (* s (pow x 4)))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 4))) (/ 1/48 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 3))) (* 1/480 (pow x 5))) (pow s 5))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))))) (pow s 5))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))))) (pow s 5))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 2))) (* 1/480 (pow x 4))) (pow s 5))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* 1/480 (pow x 4)) (* (pow s 2) (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 5))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (+ (* -1/48 (pow s 2)) (* 1/480 (pow x 2))) (pow s 5))))
#s(approx (pow s 5) #s(hole binary32 (pow s 5)))
#s(approx (/ 1/48 (* (* s s) s)) #s(hole binary32 (/ 1/48 (pow s 3))))
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/480 (/ (pow x 5) (pow s 5))) (* 1/4 (/ x s)))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (+ (* -1/48 (/ (pow x 2) (pow s 2))) (* 1/480 (/ (pow x 4) (pow s 4))))) s)))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (- (* 1/480 (/ (pow x 2) (pow s 2))) 1/48) (pow s 3))))
#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 (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/480 (/ (pow x 5) (pow s 4))) (* 1/48 (/ (pow x 3) (pow s 2))))) s)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (+ (* -1/480 (/ (pow x 4) (pow s 4))) (* 1/48 (/ (pow x 2) (pow s 2)))) 1/4) s))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* -1 (/ (+ 1/48 (* -1/480 (/ (pow x 2) (pow s 2)))) (pow s 3)))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
s
@-inf
((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 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))) (+ (/ (neg x) s) 2) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (* 1/480 (* x x)) (pow s 5)) (* 1/480 (* x x)) 1/480 (* x x) (pow s 5) 5 (/ 1/48 (* (* s s) s)) 1/48 (* (* s s) s) (* s s) (/ 1/4 s))
5.0ms
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))) (+ (/ (neg x) s) 2) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (* 1/480 (* x x)) (pow s 5)) (* 1/480 (* x x)) 1/480 (* x x) (pow s 5) 5 (/ 1/48 (* (* s s) s)) 1/48 (* (* s s) s) (* s s) (/ 1/4 s))
4.0ms
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))) (+ (/ (neg x) s) 2) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (* 1/480 (* x x)) (pow s 5)) (* 1/480 (* x x)) 1/480 (* x x) (pow s 5) 5 (/ 1/48 (* (* s s) s)) 1/48 (* (* s s) s) (* s s) (/ 1/4 s))
4.0ms
s
@0
((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 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))) (+ (/ (neg x) s) 2) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (* 1/480 (* x x)) (pow s 5)) (* 1/480 (* x x)) 1/480 (* x x) (pow s 5) 5 (/ 1/48 (* (* s s) s)) 1/48 (* (* s s) s) (* s s) (/ 1/4 s))
4.0ms
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))) (+ (/ (neg x) s) 2) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (* 1/480 (* x x)) (pow s 5)) (* 1/480 (* x x)) 1/480 (* x x) (pow s 5) 5 (/ 1/48 (* (* s s) s)) 1/48 (* (* s s) s) (* s s) (/ 1/4 s))

rewrite177.0ms (7.3%)

Memory
25.2MiB live, 245.9MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04032672
04362435
123322423
083472331
Stop Event
iter-limit
node-limit
iter-limit
Counts
111 → 296
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 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
(-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s)))
(/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32)))
(*.f32 #s(literal 1/480 binary32) (*.f32 x x))
#s(literal 1/480 binary32)
(*.f32 x x)
(pow.f32 s #s(literal 5 binary32))
#s(literal 5 binary32)
(/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))
#s(literal 1/48 binary32)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
(/.f32 #s(literal 1/4 binary32) s)
#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 (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ -1/48 (pow s 3))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))))
#s(approx (/ (* 1/480 (* x x)) (pow s 5)) #s(hole binary32 (* 1/480 (/ (pow x 2) (pow s 5)))))
#s(approx (* 1/480 (* x x)) #s(hole binary32 (* 1/480 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#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 (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* 1/480 (/ (pow x 5) (pow s 5)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (* 1/4 (/ 1 (* s (pow x 4)))) (+ (* 1/480 (/ 1 (pow s 5))) (* 1/2 (/ 1 (pow x 5))))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* 1/480 (/ (pow x 4) (pow s 5)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* (pow x 2) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (/ 1/48 (* (pow s 3) (pow x 2))) (+ (* 1/480 (/ 1 (pow s 5))) (/ 1/4 (* s (pow x 4)))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 4))) (/ 1/48 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 3))) (* 1/480 (pow x 5))) (pow s 5))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))))) (pow s 5))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))))) (pow s 5))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 2))) (* 1/480 (pow x 4))) (pow s 5))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* 1/480 (pow x 4)) (* (pow s 2) (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 5))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (+ (* -1/48 (pow s 2)) (* 1/480 (pow x 2))) (pow s 5))))
#s(approx (pow s 5) #s(hole binary32 (pow s 5)))
#s(approx (/ 1/48 (* (* s s) s)) #s(hole binary32 (/ 1/48 (pow s 3))))
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/480 (/ (pow x 5) (pow s 5))) (* 1/4 (/ x s)))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (+ (* -1/48 (/ (pow x 2) (pow s 2))) (* 1/480 (/ (pow x 4) (pow s 4))))) s)))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (- (* 1/480 (/ (pow x 2) (pow s 2))) 1/48) (pow s 3))))
#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 (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/480 (/ (pow x 5) (pow s 4))) (* 1/48 (/ (pow x 3) (pow s 2))))) s)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (+ (* -1/480 (/ (pow x 4) (pow s 4))) (* 1/48 (/ (pow x 2) (pow s 2)))) 1/4) s))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* -1 (/ (+ 1/48 (* -1/480 (/ (pow x 2) (pow s 2)))) (pow s 3)))))
Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
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#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (neg.f32 (*.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))) (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32))) (pow.f32 x #s(literal 5 binary32)))))
#s(approx s s)
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (*.f32 (*.f32 s s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) x) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 s s) x) #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32))) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32) (*.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s s))) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (*.f32 s s) #s(literal -1/48 binary32)) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (*.f32 s s) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (fma.f32 (*.f32 s s) #s(literal -1/48 binary32) (*.f32 (*.f32 x x) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32))))
#s(approx (pow s 5) (pow.f32 s #s(literal 5 binary32)))
#s(approx (/ 1/48 (* (* s s) s)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s)))
#s(approx (* (* s s) s) (*.f32 (*.f32 s s) s))
#s(approx (* s s) (*.f32 s s))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/2 binary32)))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (fma.f32 (exp.f32 (-.f32 (*.f32 (log.f32 x) #s(literal 5 binary32)) (*.f32 (log.f32 s) #s(literal 5 binary32)))) #s(literal 1/480 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) #s(literal 1/2 binary32)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (+.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/480 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32)))) s))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (exp (/ (neg x) s)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) x (fma.f32 #s(literal -1/480 binary32) (/.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (*.f32 s s) (*.f32 s s))) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32)))) s)) #s(literal 1/2 binary32)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/48 binary32)) #s(literal 1/4 binary32)) s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/480 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/48 binary32)) #s(literal 1/4 binary32))) s)))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (neg.f32 (/.f32 (fma.f32 #s(literal -1/480 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))))

eval27.0ms (1.1%)

Memory
21.5MiB live, 66.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 11 493 to 1 546 computations (86.5% saved)

prune34.0ms (1.4%)

Memory
-36.2MiB live, 25.4MiB allocated; 48ms collecting garbage
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2784282
Fresh011
Picked145
Done000
Total2799288
Accuracy
99.9%
Counts
288 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
38.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
38.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
99.3%
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
16.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #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)))
26.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
20.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
7.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
33.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 400 to 276 computations (31% saved)

series136.0ms (5.6%)

Memory
36.3MiB live, 269.2MiB allocated; 27ms collecting garbage
Counts
45 → 112
Calls
Call 1
Inputs
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(literal -1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 x s)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
(fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s))
(/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32))
(/.f32 (*.f32 x x) (*.f32 s s))
(*.f32 x x)
(*.f32 s s)
#s(literal -1/48 binary32)
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #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)))
(fma.f32 (fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #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))
(fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s)))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))
(-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32))
(*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32))
#s(literal 1/480 binary32)
#s(literal 1/48 binary32)
(*.f32 (*.f32 s s) s)
(/.f32 #s(literal 1/4 binary32) s)
Outputs
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow 2 -1/2) 2)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))))))) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (+ (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* x (+ (* -5/192 (/ (pow (pow 2 -1/2) 2) (pow s 3))) (* -1/64 (/ (pow (pow 2 -1/2) 2) (pow s 3)))))))))) (pow (pow 2 -1/2) 2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow 2 -1/2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* -1/32 (/ (* x (pow 2 -1/2)) (pow s 2))) (* 1/4 (/ (pow 2 -1/2) s)))) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* 1/4 (/ (pow 2 -1/2) s)) (* x (+ (* -1/32 (/ (pow 2 -1/2) (pow s 2))) (* -5/384 (/ (* x (pow 2 -1/2)) (pow s 3))))))) (pow 2 -1/2))))
#s(approx (- (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 (/ 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 (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 1/4))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))))
#s(approx (/ (* x x) (* s s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ -1/48 (pow s 3))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))))
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 -1/48))
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 (- (* 1/480 (/ (pow x 2) (pow s 2))) 1/48)))
#s(approx (* (/ (* x x) (* s s)) 1/480) #s(hole binary32 (* 1/480 (/ (pow x 2) (pow s 2)))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow (+ 1 (exp (* -1 (/ x s)))) -1/2) 2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) -1/2)))
#s(approx (- (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 (/ 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 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* 1/480 (/ (pow x 5) (pow s 5)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (* 1/4 (/ 1 (* s (pow x 4)))) (+ (* 1/480 (/ 1 (pow s 5))) (* 1/2 (/ 1 (pow x 5))))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* 1/480 (/ (pow x 4) (pow s 5)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* 1/480 (/ (pow x 2) (pow s 5)))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* (pow x 2) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 (* (pow x 2) (- (* 1/480 (/ 1 (pow s 2))) (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (/ 1/48 (* (pow s 3) (pow x 2))) (+ (* 1/480 (/ 1 (pow s 5))) (/ 1/4 (* s (pow x 4)))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 4))) (/ 1/48 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 3))) (* 1/480 (pow x 5))) (pow s 5))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))))) (pow s 5))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))))) (pow s 5))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 2))) (* 1/480 (pow x 4))) (pow s 5))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* 1/480 (pow x 4)) (* (pow s 2) (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 5))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (+ (* -1/48 (pow s 2)) (* 1/480 (pow x 2))) (pow s 5))))
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 (/ (+ (* -1/48 (pow s 2)) (* 1/480 (pow x 2))) (pow s 2))))
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (pow (pow 2 -1/2) 2))))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))) (pow s 3))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 2 (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow (pow 2 -1/2) 2)) (pow s 3))) (pow (pow 2 -1/2) 2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (pow 2 -1/2)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (+ (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow 2 -1/2)) (pow s 3)) (pow 2 -1/2))))))
#s(approx (- (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 (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 (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/480 (/ (pow x 5) (pow s 5))) (* 1/4 (/ x s)))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (+ (* -1/48 (/ (pow x 2) (pow s 2))) (* 1/480 (/ (pow x 4) (pow s 4))))) s)))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (- (* 1/480 (/ (pow x 2) (pow s 2))) 1/48) (pow s 3))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) (* 2 (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow (pow 2 -1/2) 2)))) s)) (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow 2 -1/2)) s)) (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2))) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2))))
#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 (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 (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/480 (/ (pow x 5) (pow s 4))) (* 1/48 (/ (pow x 3) (pow s 2))))) s)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (+ (* -1/480 (/ (pow x 4) (pow s 4))) (* 1/48 (/ (pow x 2) (pow s 2)))) 1/4) s))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* -1 (/ (+ 1/48 (* -1/480 (/ (pow x 2) (pow s 2)))) (pow s 3)))))
Calls

6 calls:

TimeVariablePointExpression
46.0ms
x
@inf
((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (* s s) s)) (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (/ (* x x) (* s s)) 1/480) 1/480 1/48 (* (* s s) s) (/ 1/4 s))
26.0ms
s
@0
((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (* s s) s)) (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (/ (* x x) (* s s)) 1/480) 1/480 1/48 (* (* s s) s) (/ 1/4 s))
26.0ms
s
@inf
((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (* s s) s)) (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (/ (* x x) (* s s)) 1/480) 1/480 1/48 (* (* s s) s) (/ 1/4 s))
23.0ms
x
@-inf
((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (* s s) s)) (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (/ (* x x) (* s s)) 1/480) 1/480 1/48 (* (* s s) s) (/ 1/4 s))
5.0ms
s
@-inf
((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (* s s) s)) (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (/ (* x x) (* s s)) 1/480) 1/480 1/48 (* (* s s) s) (/ 1/4 s))

rewrite202.0ms (8.3%)

Memory
-17.0MiB live, 296.5MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06334616
06794087
138003877
085993672
Stop Event
iter-limit
node-limit
iter-limit
Counts
157 → 347
Calls
Call 1
Inputs
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(literal -1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 x s)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
(fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s))
(/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32))
(/.f32 (*.f32 x x) (*.f32 s s))
(*.f32 x x)
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#s(literal 1/2 binary32)
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(fma.f32 (fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #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))
(fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s)))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))
(-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32))
(*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32))
#s(literal 1/480 binary32)
#s(literal 1/48 binary32)
(*.f32 (*.f32 s s) s)
(/.f32 #s(literal 1/4 binary32) s)
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow 2 -1/2) 2)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))))))) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (+ (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* x (+ (* -5/192 (/ (pow (pow 2 -1/2) 2) (pow s 3))) (* -1/64 (/ (pow (pow 2 -1/2) 2) (pow s 3)))))))))) (pow (pow 2 -1/2) 2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow 2 -1/2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* -1/32 (/ (* x (pow 2 -1/2)) (pow s 2))) (* 1/4 (/ (pow 2 -1/2) s)))) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* 1/4 (/ (pow 2 -1/2) s)) (* x (+ (* -1/32 (/ (pow 2 -1/2) (pow s 2))) (* -5/384 (/ (* x (pow 2 -1/2)) (pow s 3))))))) (pow 2 -1/2))))
#s(approx (- (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 (/ 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 (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 1/4))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))))
#s(approx (/ (* x x) (* s s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ -1/48 (pow s 3))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))))
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 -1/48))
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 (- (* 1/480 (/ (pow x 2) (pow s 2))) 1/48)))
#s(approx (* (/ (* x x) (* s s)) 1/480) #s(hole binary32 (* 1/480 (/ (pow x 2) (pow s 2)))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow (+ 1 (exp (* -1 (/ x s)))) -1/2) 2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) -1/2)))
#s(approx (- (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 (/ 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 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* 1/480 (/ (pow x 5) (pow s 5)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (* 1/4 (/ 1 (* s (pow x 4)))) (+ (* 1/480 (/ 1 (pow s 5))) (* 1/2 (/ 1 (pow x 5))))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* 1/480 (/ (pow x 4) (pow s 5)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* 1/480 (/ (pow x 2) (pow s 5)))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* (pow x 2) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 (* (pow x 2) (- (* 1/480 (/ 1 (pow s 2))) (* 1/48 (/ 1 (pow x 2)))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (/ 1/48 (* (pow s 3) (pow x 2))) (+ (* 1/480 (/ 1 (pow s 5))) (/ 1/4 (* s (pow x 4)))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 4))) (/ 1/48 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 3))) (* 1/480 (pow x 5))) (pow s 5))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))))) (pow s 5))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))))) (pow s 5))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 2))) (* 1/480 (pow x 4))) (pow s 5))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* 1/480 (pow x 4)) (* (pow s 2) (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 5))))
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (+ (* -1/48 (pow s 2)) (* 1/480 (pow x 2))) (pow s 5))))
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 (/ (+ (* -1/48 (pow s 2)) (* 1/480 (pow x 2))) (pow s 2))))
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (pow (pow 2 -1/2) 2))))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))) (pow s 3))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 2 (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow (pow 2 -1/2) 2)) (pow s 3))) (pow (pow 2 -1/2) 2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (pow 2 -1/2)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (+ (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow 2 -1/2)) (pow s 3)) (pow 2 -1/2))))))
#s(approx (- (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 (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 (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/480 (/ (pow x 5) (pow s 5))) (* 1/4 (/ x s)))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (+ (* -1/48 (/ (pow x 2) (pow s 2))) (* 1/480 (/ (pow x 4) (pow s 4))))) s)))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (- (* 1/480 (/ (pow x 2) (pow s 2))) 1/48) (pow s 3))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) (* 2 (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow (pow 2 -1/2) 2)))) s)) (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow 2 -1/2)) s)) (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2))) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2))))
#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 (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 (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/480 (/ (pow x 5) (pow s 4))) (* 1/48 (/ (pow x 3) (pow s 2))))) s)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (+ (* -1/480 (/ (pow x 4) (pow s 4))) (* 1/48 (/ (pow x 2) (pow s 2)))) 1/4) s))))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* -1 (/ (+ 1/48 (* -1/480 (/ (pow x 2) (pow s 2)))) (pow s 3)))))
Outputs
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) (neg.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))))
(*.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(fabs.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(exp.f32 (fma.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32) (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32))))
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32))) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32))) (fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32))))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(pow.f32 (exp.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/4 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (sinh.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32))))
(fabs.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(fabs.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32)))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) s)
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(literal -1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #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 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal 1/4 binary32) x)) (neg.f32 s))
(/.f32 (*.f32 #s(literal 1/4 binary32) x) s)
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
#s(literal 1/4 binary32)
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
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#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (*.f32 x x) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/480 binary32)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (* (/ x s) 1/4) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
#s(approx (/ x s) (/.f32 x s))
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x))
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) x))
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#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(literal 1/4 binary32))
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32) #s(literal 1/4 binary32)))
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#s(approx (* x x) (*.f32 x x))
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#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
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#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x)))
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#s(approx (+ (/ (neg x) s) 2) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)))
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#s(approx s s)
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#s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
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#s(approx (/ 1 s) (/.f32 #s(literal 1 binary32) s))
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#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32) (*.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s))) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (*.f32 s s) #s(literal -1/48 binary32)) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal -1/48 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 s s) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32))))
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#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/48 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 s s)))
#s(approx (* s s) (*.f32 s s))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/480 binary32) (*.f32 (*.f32 s s) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 5 binary32))))
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/480 binary32) (*.f32 (*.f32 s s) #s(literal -1/48 binary32))) (*.f32 s s)))
#s(approx (* (* s s) s) (*.f32 (*.f32 s s) s))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (fma.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) (*.f32 s s)) #s(literal 2 binary32) #s(literal 1/2 binary32)))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (fma.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) x) (*.f32 (*.f32 s s) s)) #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) (*.f32 s s)) #s(literal 2 binary32) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal -1/16 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 s s) s))) #s(literal 2 binary32) #s(literal 1/2 binary32)))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (fma.f32 (/.f32 (*.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) x) s) #s(literal 1/4 binary32) (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (*.f32 s s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)))))
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#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (+.f32 (neg.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 0 binary32))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (fma.f32 (exp.f32 (-.f32 (*.f32 (log.f32 x) #s(literal 5 binary32)) (*.f32 (log.f32 s) #s(literal 5 binary32)))) #s(literal 1/480 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #s(literal 1/2 binary32)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (+.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/480 binary32) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32)))) s))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/16 binary32))) s))) s))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal 1/16 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32))) s)) (fma.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/16 binary32)))) s))) s)) #s(literal 1/2 binary32)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) x) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (neg.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) s)))) s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) x) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (neg.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal 1/16 binary32)))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) s)))) s))) s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (exp (/ (neg x) s)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) x (fma.f32 #s(literal -1/480 binary32) (/.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (*.f32 s s) (*.f32 s s))) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32)))) s)) #s(literal 1/2 binary32)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/48 binary32)) #s(literal 1/4 binary32)) s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/480 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) (-.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/48 binary32)) #s(literal 1/4 binary32))) s)))
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (neg.f32 (/.f32 (fma.f32 #s(literal -1/480 binary32) (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))))

eval65.0ms (2.7%)

Memory
46.6MiB live, 127.9MiB allocated; 34ms collecting garbage
Compiler

Compiled 19 059 to 2 150 computations (88.7% saved)

prune20.0ms (0.8%)

Memory
-16.5MiB live, 28.2MiB allocated; 10ms collecting garbage
Pruning

15 alts after pruning (7 fresh and 8 done)

PrunedKeptTotal
New3577364
Fresh000
Picked145
Done044
Total35815373
Accuracy
99.9%
Counts
373 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
99.3%
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
38.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
35.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
38.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
33.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
18.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
99.3%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
16.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #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)))
26.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
20.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
24.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
7.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
33.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 581 to 405 computations (30.3% saved)

series72.0ms (3%)

Memory
-8.1MiB live, 57.6MiB allocated; 58ms collecting garbage
Counts
43 → 110
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
#s(literal 1 binary32)
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal -1 binary32) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))
(*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)
(/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s))
(-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32)))
(+.f32 s s)
(*.f32 x #s(literal 1 binary32))
(*.f32 x s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
(fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s))
(/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32))
(*.f32 (/.f32 x s) (/.f32 x s))
(/.f32 x s)
#s(literal -1/48 binary32)
#s(literal 1/4 binary32)
Outputs
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (/ 1 (pow (sqrt 2) 2))))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (/ 1 (pow (sqrt 2) 2)) (/ x (* s (pow (sqrt 2) 4))))))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* x (+ (* x (- (/ 1 (* (pow s 2) (pow (sqrt 2) 6))) (* 1/2 (/ 1 (* (pow s 2) (pow (sqrt 2) 4)))))) (/ 1 (* s (pow (sqrt 2) 4))))) (/ 1 (pow (sqrt 2) 2)))))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* x (+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 2)))) (* 1/6 (/ 1 (pow s 3)))) (pow (sqrt 2) 4))) (+ (* -1 (/ (- (/ 1 (* (pow s 2) (pow (sqrt 2) 6))) (* 1/2 (/ 1 (* (pow s 2) (pow (sqrt 2) 4))))) (* s (pow (sqrt 2) 2)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 6)))) (* 1/2 (/ 1 (* (pow s 3) (pow (sqrt 2) 6))))))))) (/ 1 (* (pow s 2) (pow (sqrt 2) 6)))) (* 1/2 (/ 1 (* (pow s 2) (pow (sqrt 2) 4)))))) (/ 1 (* s (pow (sqrt 2) 4))))) (/ 1 (pow (sqrt 2) 2)))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (/ 1 (sqrt 2))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* 1/2 (/ x (* s (pow (sqrt 2) 3)))) (/ 1 (sqrt 2)))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* x (+ (* x (- (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (* s (pow (sqrt 2) 3)))))) (/ 1 (sqrt 2)))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* x (+ (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 2)))) (* 1/6 (/ 1 (pow s 3)))) (pow (sqrt 2) 3))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 3)))) (* s (pow (sqrt 2) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 5)))))))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 5))))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (* s (pow (sqrt 2) 3)))))) (/ 1 (sqrt 2)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (sqrt 2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* -1/2 (/ x (* s (sqrt 2)))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* x (- (* 1/2 (/ (* x (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ 1 (* s (sqrt 2)))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* x (- (* x (+ (* -1/2 (/ (* x (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 2)))) (* 1/6 (/ 1 (pow s 3))))) (sqrt 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (sqrt 2))))) (* 1/2 (/ 1 (* s (sqrt 2)))))))))
#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 (/ 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 (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* 2 s)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (* x s) #s(hole binary32 (* s x)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 1/4))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))))
#s(approx (* (/ x s) (/ x s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (/ 1 (pow (sqrt (+ 1 (exp (* -1 (/ x s))))) 2))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (/ 1 (sqrt (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (sqrt (+ 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 (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* 1/480 (/ (pow x 5) (pow s 5)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (* 1/4 (/ 1 (* s (pow x 4)))) (+ (* 1/480 (/ 1 (pow s 5))) (* 1/2 (/ 1 (pow x 5))))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* 1/480 (/ (pow x 4) (pow s 5)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (/ 1/48 (* (pow s 3) (pow x 2))) (+ (* 1/480 (/ 1 (pow s 5))) (/ 1/4 (* s (pow x 4)))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 4))) (/ 1/48 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (- (* 2 s) x)))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 3))) (* 1/480 (pow x 5))) (pow s 5))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))))) (pow s 5))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))))) (pow s 5))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 2))) (* 1/480 (pow x 4))) (pow s 5))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* 1/480 (pow x 4)) (* (pow s 2) (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 5))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4)))) (pow s 2))) (/ 1 (pow (sqrt 2) 2))) (* -1 (/ x (* s (pow (sqrt 2) 4)))))))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/6 (/ (pow x 3) (pow (sqrt 2) 4))) (+ (* 1/2 (/ (pow x 3) (pow (sqrt 2) 6))) (/ (* x (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))))) (pow (sqrt 2) 2)))) (pow s 3))) (/ 1 (pow (sqrt 2) 2))) (+ (* -1 (/ x (* s (pow (sqrt 2) 4)))) (+ (* -1 (/ (pow x 2) (* (pow s 2) (pow (sqrt 2) 6)))) (* 1/2 (/ (pow x 2) (* (pow s 2) (pow (sqrt 2) 4)))))))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3)))) (pow s 2))) (/ 1 (sqrt 2))) (* -1/2 (/ x (* s (pow (sqrt 2) 3)))))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (- (+ (* -1 (/ (+ (* 1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 5))) (+ (* 1/2 (/ (* x (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) (pow (sqrt 2) 2))) (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) (pow s 3))) (/ 1 (sqrt 2))) (+ (* -1/2 (/ x (* s (pow (sqrt 2) 3)))) (+ (* -1/4 (/ (pow x 2) (* (pow s 2) (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (pow (sqrt 2) 3)))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (+ (* -1/2 (/ x (* s (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (sqrt 2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (+ (* -1/2 (/ x (* s (sqrt 2)))) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* (pow s 3) (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (sqrt 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 (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 (- (+ s s) (* x 1)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/480 (/ (pow x 5) (pow s 5))) (* 1/4 (/ x s)))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (+ (* -1/48 (/ (pow x 2) (pow s 2))) (* 1/480 (/ (pow x 4) (pow s 4))))) s)))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* s (pow (sqrt 2) 6)))) (* 1/2 (/ (pow x 2) (* s (pow (sqrt 2) 4))))) (/ x (pow (sqrt 2) 4))) s)) (/ 1 (pow (sqrt 2) 2)))))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))))) (* s (pow (sqrt 2) 2)))) (+ (* -1/2 (/ (pow x 3) (* s (pow (sqrt 2) 6)))) (* 1/6 (/ (pow x 3) (* s (pow (sqrt 2) 4)))))) (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))))) s)) (/ x (pow (sqrt 2) 4))) s)) (/ 1 (pow (sqrt 2) 2)))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* -1 (/ (- (+ (* -1/4 (/ (pow x 2) (* s (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* s (pow (sqrt 2) 3))))) (* 1/2 (/ x (pow (sqrt 2) 3)))) s)) (/ 1 (sqrt 2)))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) (* s (pow (sqrt 2) 2)))) (+ (* -1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* s (pow (sqrt 2) 3)))))) (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) s)) (* 1/2 (/ x (pow (sqrt 2) 3)))) s)) (/ 1 (sqrt 2)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* s (sqrt 2)))) (* 1/2 (/ x (sqrt 2)))) s)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* s (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (sqrt 2)))) s)) (* 1/2 (/ x (sqrt 2)))) 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 (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 (- (+ s s) (* x 1)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/480 (/ (pow x 5) (pow s 4))) (* 1/48 (/ (pow x 3) (pow s 2))))) s)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (+ (* -1/480 (/ (pow x 4) (pow s 4))) (* 1/48 (/ (pow x 2) (pow s 2)))) 1/4) s))))
Calls

6 calls:

TimeVariablePointExpression
41.0ms
s
@0
((* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) 1 (pow (- (exp (/ (neg x) s)) -1) 1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/48 1/4)
6.0ms
x
@0
((* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) 1 (pow (- (exp (/ (neg x) s)) -1) 1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/48 1/4)
6.0ms
s
@inf
((* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) 1 (pow (- (exp (/ (neg x) s)) -1) 1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/48 1/4)
6.0ms
x
@-inf
((* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) 1 (pow (- (exp (/ (neg x) s)) -1) 1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/48 1/4)
5.0ms
x
@inf
((* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) 1 (pow (- (exp (/ (neg x) s)) -1) 1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/48 1/4)

rewrite181.0ms (7.5%)

Memory
-1.4MiB live, 185.7MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07345163
07674302
145834268
083354056
Stop Event
iter-limit
node-limit
iter-limit
Counts
153 → 285
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
#s(literal 1 binary32)
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal -1 binary32) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))
(*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)
(/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s))
(-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32)))
(+.f32 s s)
(*.f32 x #s(literal 1 binary32))
(*.f32 x s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
(fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s))
(/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)
(fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32))
(*.f32 (/.f32 x s) (/.f32 x s))
(/.f32 x s)
#s(literal -1/48 binary32)
#s(literal 1/4 binary32)
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (/ 1 (pow (sqrt 2) 2))))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (/ 1 (pow (sqrt 2) 2)) (/ x (* s (pow (sqrt 2) 4))))))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* x (+ (* x (- (/ 1 (* (pow s 2) (pow (sqrt 2) 6))) (* 1/2 (/ 1 (* (pow s 2) (pow (sqrt 2) 4)))))) (/ 1 (* s (pow (sqrt 2) 4))))) (/ 1 (pow (sqrt 2) 2)))))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* x (+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 2)))) (* 1/6 (/ 1 (pow s 3)))) (pow (sqrt 2) 4))) (+ (* -1 (/ (- (/ 1 (* (pow s 2) (pow (sqrt 2) 6))) (* 1/2 (/ 1 (* (pow s 2) (pow (sqrt 2) 4))))) (* s (pow (sqrt 2) 2)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 6)))) (* 1/2 (/ 1 (* (pow s 3) (pow (sqrt 2) 6))))))))) (/ 1 (* (pow s 2) (pow (sqrt 2) 6)))) (* 1/2 (/ 1 (* (pow s 2) (pow (sqrt 2) 4)))))) (/ 1 (* s (pow (sqrt 2) 4))))) (/ 1 (pow (sqrt 2) 2)))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (/ 1 (sqrt 2))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* 1/2 (/ x (* s (pow (sqrt 2) 3)))) (/ 1 (sqrt 2)))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* x (+ (* x (- (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (* s (pow (sqrt 2) 3)))))) (/ 1 (sqrt 2)))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* x (+ (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 2)))) (* 1/6 (/ 1 (pow s 3)))) (pow (sqrt 2) 3))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 3)))) (* s (pow (sqrt 2) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 5)))))))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 5))))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (* s (pow (sqrt 2) 3)))))) (/ 1 (sqrt 2)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (sqrt 2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* -1/2 (/ x (* s (sqrt 2)))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* x (- (* 1/2 (/ (* x (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ 1 (* s (sqrt 2)))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* x (- (* x (+ (* -1/2 (/ (* x (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 2)))) (* 1/6 (/ 1 (pow s 3))))) (sqrt 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (sqrt 2))))) (* 1/2 (/ 1 (* s (sqrt 2)))))))))
#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 (/ 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 (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* 2 s)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (* x s) #s(hole binary32 (* s x)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 1/4))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))))
#s(approx (* (/ x s) (/ x s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (/ 1 (pow (sqrt (+ 1 (exp (* -1 (/ x s))))) 2))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (/ 1 (sqrt (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (sqrt (+ 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 (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* 1/480 (/ (pow x 5) (pow s 5)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (* 1/4 (/ 1 (* s (pow x 4)))) (+ (* 1/480 (/ 1 (pow s 5))) (* 1/2 (/ 1 (pow x 5))))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* 1/480 (/ (pow x 4) (pow s 5)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2))))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2)))))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (/ 1/48 (* (pow s 3) (pow x 2))) (+ (* 1/480 (/ 1 (pow s 5))) (/ 1/4 (* s (pow x 4)))))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 4))) (/ 1/48 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (- (* 2 s) x)))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 3))) (* 1/480 (pow x 5))) (pow s 5))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))))) (pow s 5))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))))) (pow s 5))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 2))) (* 1/480 (pow x 4))) (pow s 5))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* 1/480 (pow x 4)) (* (pow s 2) (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 5))))
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4)))) (pow s 2))) (/ 1 (pow (sqrt 2) 2))) (* -1 (/ x (* s (pow (sqrt 2) 4)))))))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/6 (/ (pow x 3) (pow (sqrt 2) 4))) (+ (* 1/2 (/ (pow x 3) (pow (sqrt 2) 6))) (/ (* x (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))))) (pow (sqrt 2) 2)))) (pow s 3))) (/ 1 (pow (sqrt 2) 2))) (+ (* -1 (/ x (* s (pow (sqrt 2) 4)))) (+ (* -1 (/ (pow x 2) (* (pow s 2) (pow (sqrt 2) 6)))) (* 1/2 (/ (pow x 2) (* (pow s 2) (pow (sqrt 2) 4)))))))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3)))) (pow s 2))) (/ 1 (sqrt 2))) (* -1/2 (/ x (* s (pow (sqrt 2) 3)))))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (- (+ (* -1 (/ (+ (* 1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 5))) (+ (* 1/2 (/ (* x (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) (pow (sqrt 2) 2))) (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) (pow s 3))) (/ 1 (sqrt 2))) (+ (* -1/2 (/ x (* s (pow (sqrt 2) 3)))) (+ (* -1/4 (/ (pow x 2) (* (pow s 2) (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (pow (sqrt 2) 3)))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (+ (* -1/2 (/ x (* s (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (sqrt 2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (+ (* -1/2 (/ x (* s (sqrt 2)))) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* (pow s 3) (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (sqrt 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 (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 (- (+ s s) (* x 1)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/480 (/ (pow x 5) (pow s 5))) (* 1/4 (/ x s)))))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (+ (* -1/48 (/ (pow x 2) (pow s 2))) (* 1/480 (/ (pow x 4) (pow s 4))))) s)))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* s (pow (sqrt 2) 6)))) (* 1/2 (/ (pow x 2) (* s (pow (sqrt 2) 4))))) (/ x (pow (sqrt 2) 4))) s)) (/ 1 (pow (sqrt 2) 2)))))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))))) (* s (pow (sqrt 2) 2)))) (+ (* -1/2 (/ (pow x 3) (* s (pow (sqrt 2) 6)))) (* 1/6 (/ (pow x 3) (* s (pow (sqrt 2) 4)))))) (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))))) s)) (/ x (pow (sqrt 2) 4))) s)) (/ 1 (pow (sqrt 2) 2)))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* -1 (/ (- (+ (* -1/4 (/ (pow x 2) (* s (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* s (pow (sqrt 2) 3))))) (* 1/2 (/ x (pow (sqrt 2) 3)))) s)) (/ 1 (sqrt 2)))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) (* s (pow (sqrt 2) 2)))) (+ (* -1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* s (pow (sqrt 2) 3)))))) (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) s)) (* 1/2 (/ x (pow (sqrt 2) 3)))) s)) (/ 1 (sqrt 2)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* s (sqrt 2)))) (* 1/2 (/ x (sqrt 2)))) s)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* s (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (sqrt 2)))) s)) (* 1/2 (/ x (sqrt 2)))) 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 (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 (- (+ s s) (* x 1)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/480 (/ (pow x 5) (pow s 4))) (* 1/48 (/ (pow x 3) (pow s 2))))) s)))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (+ (* -1/480 (/ (pow x 4) (pow s 4))) (* 1/48 (/ (pow x 2) (pow s 2)))) 1/4) s))))
Outputs
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) (neg.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))))
(*.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (fabs.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(pow.f32 (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -2 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(pow.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(exp.f32 (neg.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1/2 binary32))))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32)))
#s(literal 1 binary32)
(*.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (sqrt.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (sqrt.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(pow.f32 (exp.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) s)
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
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#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (-.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) #s(literal 4 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) #s(literal 8 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 4 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 x x) #s(literal 8 binary32)))) x) #s(literal 2 binary32)))) (*.f32 (*.f32 s s) s))) #s(literal 1/2 binary32)) (/.f32 (neg.f32 x) (*.f32 #s(literal 4 binary32) s))) (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) #s(literal 4 binary32))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 x x) (*.f32 #s(literal 8 binary32) (*.f32 s s)))))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (-.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)))) (*.f32 s s))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (/.f32 x (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) s)) #s(literal -1/2 binary32))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)))) #s(literal 2 binary32)) (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (*.f32 (*.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (*.f32 (*.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)))) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (/.f32 x (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) (*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)) (*.f32 s s))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 s s))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (*.f32 s s) (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1/2 binary32) (*.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32))) (sqrt.f32 #s(literal 2 binary32))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) (+.f32 (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (sqrt.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (*.f32 (*.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (*.f32 s s) s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (*.f32 s s) (sqrt.f32 #s(literal 2 binary32))))))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (- (+ s s) (* x 1)) (*.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) s))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/2 binary32)))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (fma.f32 (exp.f32 (-.f32 (*.f32 (log.f32 x) #s(literal 5 binary32)) (*.f32 (log.f32 s) #s(literal 5 binary32)))) #s(literal 1/480 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) #s(literal 1/2 binary32)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (+.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/480 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32)))) s))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 #s(literal 4 binary32) s)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 x x) (*.f32 #s(literal 8 binary32) s)))) (/.f32 x #s(literal 4 binary32))) s))))
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 4 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 x x) #s(literal 8 binary32)))) x) (+.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 #s(literal 4 binary32) s)) #s(literal 1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 #s(literal 8 binary32) s)) #s(literal -1/2 binary32)))) (fma.f32 (/.f32 (*.f32 x x) #s(literal 4 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 x x) #s(literal 8 binary32))))) s)) (/.f32 x #s(literal 4 binary32))) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) s)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)) s))) (*.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) s)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32)))))
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)))) (+.f32 s s))) #s(literal -1/2 binary32) (-.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (*.f32 (*.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) s)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) x)) (*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)) s))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)))))) s)) (*.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) s)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32))) s)) (sqrt.f32 #s(literal 2 binary32))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (*.f32 (*.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32))) s))) s)) (sqrt.f32 #s(literal 2 binary32))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (exp (/ (neg x) s)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (- (+ s s) (* x 1)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s)))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) x (fma.f32 #s(literal -1/480 binary32) (/.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (*.f32 s s) (*.f32 s s))) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32)))) s)) #s(literal 1/2 binary32)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/48 binary32)) #s(literal 1/4 binary32)) s)))
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/480 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/48 binary32)) #s(literal 1/4 binary32))) s)))

eval28.0ms (1.2%)

Memory
8.7MiB live, 53.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 12 075 to 1 554 computations (87.1% saved)

prune16.0ms (0.6%)

Memory
-20.0MiB live, 24.4MiB allocated; 6ms collecting garbage
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New2405245
Fresh112
Picked235
Done268
Total24515260
Accuracy
99.9%
Counts
260 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
99.3%
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
99.8%
(pow.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -2 binary32))
99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
38.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
37.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x)))))
29.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (+.f32 s s)) (*.f32 x s)) x))))
33.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
18.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
33.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) x))))
26.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
20.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
24.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
7.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
33.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 939 to 418 computations (55.5% saved)

regimes42.0ms (1.8%)

Memory
22.9MiB live, 68.2MiB allocated; 6ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (+.f32 s s)) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
(pow.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #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)))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
Calls

7 calls:

10.0ms
(/.f32 (neg.f32 x) s)
6.0ms
s
6.0ms
x
6.0ms
(neg.f32 x)
4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
99.8%1(neg.f32 x)
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1x
99.8%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes27.0ms (1.1%)

Memory
-11.7MiB live, 41.2MiB allocated; 10ms 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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (+.f32 s s)) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x)))))
Calls

7 calls:

8.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
s
3.0ms
x
3.0ms
(neg.f32 x)
3.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
52.8%2(neg.f32 x)
52.7%2(/.f32 (neg.f32 x) s)
52.7%2(exp.f32 (/.f32 (neg.f32 x) s))
52.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
52.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
52.8%2x
42.0%2s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes15.0ms (0.6%)

Memory
31.2MiB live, 31.2MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (+.f32 s s)) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
Calls

6 calls:

3.0ms
(neg.f32 x)
3.0ms
x
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)))
Results
AccuracySegmentsBranch
47.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
47.3%2(/.f32 (neg.f32 x) s)
47.3%2(exp.f32 (/.f32 (neg.f32 x) s))
47.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
46.7%2x
46.7%2(neg.f32 x)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes11.0ms (0.5%)

Memory
-29.4MiB live, 16.2MiB allocated; 5ms 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 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
Calls

4 calls:

6.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(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))))
Results
AccuracySegmentsBranch
47.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
47.3%2(/.f32 (neg.f32 x) s)
47.3%2(exp.f32 (/.f32 (neg.f32 x) s))
47.3%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
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
Calls

6 calls:

2.0ms
(neg.f32 x)
2.0ms
x
2.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
46.0%2x
46.0%2(neg.f32 x)
46.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
46.1%2(/.f32 (neg.f32 x) s)
46.1%2(exp.f32 (/.f32 (neg.f32 x) s))
46.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes29.0ms (1.2%)

Memory
-29.4MiB live, 17.2MiB allocated; 4ms collecting garbage
Accuracy

Total -8.3b remaining (-38.8%)

Threshold costs -8.3b (-38.8%)

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

7 calls:

21.0ms
x
1.0ms
s
1.0ms
(neg.f32 x)
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
33.2%1s
33.2%1x
33.2%1(neg.f32 x)
33.2%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
33.2%1(/.f32 (neg.f32 x) s)
33.2%1(exp.f32 (/.f32 (neg.f32 x) s))
33.2%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
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6199548595096146e-24
4.734694559304751e-23
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0021928548812866
1.812920331954956
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0021928548812866
1.812920331954956
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2870967388153076
6.112571201372136e+28
Compiler

Compiled 12 to 14 computations (-16.7% saved)

derivations222.0ms (9.2%)

Memory
31.9MiB live, 168.8MiB allocated; 16ms collecting garbage
Stop Event
fuel
Compiler

Compiled 229 to 64 computations (72.1% saved)

preprocess41.0ms (1.7%)

Memory
20.7MiB live, 111.4MiB allocated; 9ms collecting garbage
Compiler

Compiled 238 to 72 computations (69.7% saved)

end0.0ms (0%)

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

Profiling

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