Logistic function

Time bar (total: 2.6s)

start0.0ms (0%)

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

analyze32.0ms (1.2%)

Memory
16.5MiB live, 62.6MiB allocated; 6ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample637.0ms (24.4%)

Memory
-5.2MiB live, 1 227.7MiB allocated; 137ms collecting garbage
Samples
438.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 246.0ms
ival-div!: 108.0ms (43.9% of total)
ival-exp: 67.0ms (27.3% of total)
ival-neg: 45.0ms (18.3% of total)
ival-add!: 23.0ms (9.4% of total)
adjust: 1.0ms (0.4% of total)
ival-<=: 1.0ms (0.4% of total)
ival-and: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess52.0ms (2%)

Memory
-9.2MiB live, 28.5MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 18 to 16 computations (11.1% saved)

series10.0ms (0.4%)

Memory
19.5MiB live, 19.5MiB 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
@inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)
2.0ms
x
@0
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)
2.0ms
s
@inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)
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)

rewrite196.0ms (7.5%)

Memory
-24.8MiB live, 222.3MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181784
0189698
11334669
08495638
122733638
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
39 → 85
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Outputs
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.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))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(literal 1 binary32)
(/.f32 (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 (-.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (exp.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))) (*.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (expm1.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))) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(neg.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.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)) (neg.f32 (neg.f32 (sinh.f32 (/.f32 x s)))))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(fabs.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fabs.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (neg.f32 (neg.f32 x)) (/.f32 #s(literal -1 binary32) s))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s))
(*.f32 x (/.f32 #s(literal -1 binary32) 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))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 s) (neg.f32 (neg.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 x)))
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 (neg.f32 (neg.f32 x)))
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal -5 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.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 (fma.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx x x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx s s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/48 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (-.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 x s))))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (-.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.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 (fma.f32 #s(literal 1/4 binary32) x (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) s) #s(literal -1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (/.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) x) s) #s(literal -2 binary32)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)))
#s(approx (exp (/ (neg x) s)) (-.f32 (/.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) x) s) #s(literal -1 binary32)))

eval6.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 758 to 353 computations (53.4% saved)

prune5.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New70878
Fresh000
Picked101
Done000
Total71879
Accuracy
100.0%
Counts
79 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.0%
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
62.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
▶40.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶15.6%
#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)))
28.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶32.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 204 to 194 computations (4.9% saved)

series45.0ms (1.7%)

Memory
-2.6MiB live, 97.5MiB allocated; 7ms collecting garbage
Counts
33 → 124
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))
(*.f32 x x)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
#s(literal -1/48 binary32)
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
Outputs
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #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 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 2))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 1))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -2 (/ x s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))))
#s(approx (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s))))
#s(approx (/ (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 (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (/ (* x x) (* (* s s) s)) #s(hole binary32 (/ (pow x 2) (pow s 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* 2 (/ x s))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (/ 1 (+ 1 (sqrt (exp (* -2 (/ x s))))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 1 (sqrt (exp (* -2 (/ x s)))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (sqrt (exp (* -2 (/ x s))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (exp (* -2 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ (- 1 (exp (* -2 (/ x s)))) (- 1 (exp (* -1 (/ x s)))))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (- 1 (exp (* -2 (/ x s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#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 (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))))
#s(approx s #s(hole binary32 s))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2)))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (* x (- (* 2 (pow x 2)) (pow x 2)))) (+ (* 1/8 (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2)))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* 1/2 (/ (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* 1/2 (/ (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 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 (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s)))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* 1/6 (/ (pow x 3) (pow s 2))) (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* -1/24 (/ (pow x 4) (pow s 3))) (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))) s)))
#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 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2))))) s)) (+ (* -1/16 (/ (* x (- (* 2 (pow x 2)) (pow x 2))) s)) (* 1/8 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2))))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) s)))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))) s))) s)))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) s)))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))) s))) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))))
#s(approx (/ 1 (+ 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 (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* -1 (/ (- (* 2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) 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
9.0ms
x
@0
((/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) (sqrt (exp (* (/ (neg x) s) 2))) (exp (* (/ (neg x) s) 2)) (* (/ (neg x) s) 2) (/ (neg x) s) (neg x) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) 1/4 (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (- 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)))
8.0ms
x
@-inf
((/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) (sqrt (exp (* (/ (neg x) s) 2))) (exp (* (/ (neg x) s) 2)) (* (/ (neg x) s) 2) (/ (neg x) s) (neg x) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) 1/4 (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (- 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)))
7.0ms
s
@inf
((/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) (sqrt (exp (* (/ (neg x) s) 2))) (exp (* (/ (neg x) s) 2)) (* (/ (neg x) s) 2) (/ (neg x) s) (neg x) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) 1/4 (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (- 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)))
6.0ms
s
@0
((/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) (sqrt (exp (* (/ (neg x) s) 2))) (exp (* (/ (neg x) s) 2)) (* (/ (neg x) s) 2) (/ (neg x) s) (neg x) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) 1/4 (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (- 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)))
6.0ms
s
@-inf
((/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) (sqrt (exp (* (/ (neg x) s) 2))) (exp (* (/ (neg x) s) 2)) (* (/ (neg x) s) 2) (/ (neg x) s) (neg x) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48 (/ 1/4 s) 1/4 (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (- 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)))

rewrite279.0ms (10.7%)

Memory
4.3MiB live, 292.4MiB allocated; 73ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07734478
08134107
162714105
082603786
1209273786
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
157 → 297
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))
(*.f32 x x)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
#s(literal -1/48 binary32)
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #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 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 2))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 1))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -2 (/ x s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))))
#s(approx (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s))))
#s(approx (/ (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 (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (/ (* x x) (* (* s s) s)) #s(hole binary32 (/ (pow x 2) (pow s 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* 2 (/ x s))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (/ 1 (+ 1 (sqrt (exp (* -2 (/ x s))))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 1 (sqrt (exp (* -2 (/ x s)))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (sqrt (exp (* -2 (/ x s))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (exp (* -2 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ (- 1 (exp (* -2 (/ x s)))) (- 1 (exp (* -1 (/ x s)))))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (- 1 (exp (* -2 (/ x s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#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 (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))))
#s(approx s #s(hole binary32 s))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2)))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (* x (- (* 2 (pow x 2)) (pow x 2)))) (+ (* 1/8 (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2)))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* 1/2 (/ (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* 1/2 (/ (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 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 (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s)))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* 1/6 (/ (pow x 3) (pow s 2))) (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* -1/24 (/ (pow x 4) (pow s 3))) (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))) s)))
#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 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2))))) s)) (+ (* -1/16 (/ (* x (- (* 2 (pow x 2)) (pow x 2))) s)) (* 1/8 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2))))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) s)))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))) s))) s)))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) s)))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))) s))) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))))
#s(approx (/ 1 (+ 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 (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* -1 (/ (- (* 2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Outputs
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(pow.f32 (+.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
#s(literal 1 binary32)
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (*.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
(-.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
(fma.f32 #s(literal 2 binary32) #s(literal 1/2 binary32) (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(+.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (/.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 2 binary32))) (sinh.f32 (/.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 2 binary32))))
(fabs.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(exp.f32 (/.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x s))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (+.f32 x x) s))
(pow.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(fabs.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
(/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)
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#s(approx x x)
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#s(approx s s)
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#s(approx (- 1 (exp (/ (neg x) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/6 binary32)) (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x)) s))
#s(approx (- 1 (exp (/ (neg x) s))) (/.f32 (-.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) s)) #s(literal -1/24 binary32)) (neg.f32 x)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)))) 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 x x) (*.f32 s s)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) s) #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/8 binary32))) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 4/3 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) x)) s) #s(literal 1/8 binary32) (*.f32 (*.f32 x (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) s)) #s(literal -1/16 binary32)))) (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) (+.f32 (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 4/3 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) x)) s) #s(literal -1/2 binary32) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/2 binary32))) s))) s)) #s(literal 2 binary32)))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) s) #s(literal -1/2 binary32) x) s)) #s(literal 1 binary32)))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) (+.f32 (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 4/3 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) x)) s) #s(literal -1/2 binary32) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/2 binary32))) s))) s)) #s(literal 1 binary32)))
#s(approx (exp (* (/ (neg x) s) 2)) (+.f32 (neg.f32 (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (/.f32 (*.f32 x x) s) x)) s)) #s(literal 1 binary32)))
#s(approx (exp (* (/ (neg x) s) 2)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -4/3 binary32))) s))) s))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32)))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/48 binary32) #s(literal -1/4 binary32)) s)))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (+.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/12 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/48 binary32)) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 x x)) (*.f32 #s(literal -1/4 binary32) x) (*.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) x)))) s))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s)) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (-.f32 (+.f32 x x) x) s)) #s(literal 2 binary32)))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 (-.f32 (+.f32 x x) x) x) #s(literal 1/2 binary32)))) s))) x) s))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 4/3 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 2/3 binary32)) (fma.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (-.f32 (+.f32 x x) x) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 (-.f32 (+.f32 x x) x) x) #s(literal 1/2 binary32)))))))) s))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 (-.f32 (+.f32 x x) x) x) #s(literal 1/2 binary32)))) s))) x) s)) #s(literal 2 binary32)))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) (neg.f32 (/.f32 (*.f32 #s(literal 2 binary32) (-.f32 (/.f32 (*.f32 x x) s) x)) s)))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal 4/3 binary32) (*.f32 #s(literal -2 binary32) (*.f32 x x))) s)) (+.f32 x x)) s)))
#s(approx (neg (- (exp (* (/ (neg x) s) 2)) 1)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s) #s(literal 2/3 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -4/3 binary32))) s)) (*.f32 (*.f32 x x) #s(literal 2 binary32))) s)) (+.f32 x x)) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (/.f32 (*.f32 x x) s) x)) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -4/3 binary32))) s))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s) #s(literal -2/3 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal 4/3 binary32))) s))) s))) s)))
#s(approx (- 1 (exp (/ (neg x) s))) (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) x) s)))
#s(approx (- 1 (exp (/ (neg x) s))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)) x) s)))
#s(approx (- 1 (exp (/ (neg x) s))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) x))) s)) (*.f32 (*.f32 x x) #s(literal 1/2 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))))

eval33.0ms (1.3%)

Memory
-20.6MiB live, 78.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 4 282 to 1 705 computations (60.2% saved)

prune12.0ms (0.5%)

Memory
-15.2MiB live, 32.1MiB allocated; 1ms collecting garbage
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New29111302
Fresh213
Picked325
Done000
Total29614310
Accuracy
100.0%
Counts
310 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))))
▶25.9%
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s))))
✓40.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
40.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
▶40.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
40.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
▶40.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
62.7%
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
62.8%
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/.f32 (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))) (neg.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))))
26.8%
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
▶28.1%
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
21.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
✓32.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 473 to 453 computations (4.2% saved)

series20.0ms (0.8%)

Memory
1.6MiB live, 48.7MiB allocated; 1ms collecting garbage
Counts
33 → 84
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s))))))
(sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s))))
#s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
#s(literal -2 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s))))
(-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))
#s(literal 2 binary32)
(*.f32 x (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 2 binary32) x)
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))
(-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s))
(fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
Outputs
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #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 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 2))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 1))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -2 (/ x s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))))
#s(approx (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (+ (* -2 (/ x s)) 2) #s(hole binary32 (+ 2 (* -2 (/ x s)))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (/ 1 (+ 1 (sqrt (exp (* -2 (/ x s))))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 1 (sqrt (exp (* -2 (/ x s)))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (sqrt (exp (* -2 (/ x s))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (exp (* -2 (/ x s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ 1 (+ 1 (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 (- 2 (* x (/ 1 s))) #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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ (- 1 (exp (* -2 (/ x s)))) (- 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* -2 (/ x s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 s))))))
#s(approx (- 2 (* x (/ 1 s))) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* -2 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (* 2 (/ 1 s)) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (- 2 (* x (/ 1 s))) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (- (+ (* -2 (/ x s)) 2) (/ (neg x) s)) #s(hole binary32 (/ (- (* -2 x) (* -1 x)) s)))
#s(approx (- (+ (* -2 (/ x s)) 2) (/ (neg x) s)) #s(hole binary32 (/ (- (+ (* -2 x) (* 2 s)) (* -1 x)) s)))
#s(approx (+ (* -2 (/ x s)) 2) #s(hole binary32 (/ (+ (* -2 x) (* 2 s)) s)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2)))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (* x (- (* 2 (pow x 2)) (pow x 2)))) (+ (* 1/8 (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2)))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* 1/2 (/ (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* 1/2 (/ (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2))))) s)) (+ (* -1/16 (/ (* x (- (* 2 (pow x 2)) (pow x 2))) s)) (* 1/8 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2))))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) s)))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))) s))) s)))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) s)))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))) s))) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
Calls

6 calls:

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

rewrite226.0ms (8.7%)

Memory
27.5MiB live, 265.3MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05733225
06032909
148022905
083302633
1225322633
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
117 → 258
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s))))))
(sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s))))
#s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
#s(literal -2 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s))))
(-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))
#s(literal 2 binary32)
(*.f32 x (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 2 binary32) x)
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))
(-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s))
(fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #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 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 2))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 1))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -2 (/ x s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))))
#s(approx (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (+ (* -2 (/ x s)) 2) #s(hole binary32 (+ 2 (* -2 (/ x s)))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (/ 1 (+ 1 (sqrt (exp (* -2 (/ x s))))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 1 (sqrt (exp (* -2 (/ x s)))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (sqrt (exp (* -2 (/ x s))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (exp (* -2 (/ x s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ 1 (+ 1 (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 (- 2 (* x (/ 1 s))) #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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ (- 1 (exp (* -2 (/ x s)))) (- 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* -2 (/ x s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 s))))))
#s(approx (- 2 (* x (/ 1 s))) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* -2 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (* 2 (/ 1 s)) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (- 2 (* x (/ 1 s))) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (- (+ (* -2 (/ x s)) 2) (/ (neg x) s)) #s(hole binary32 (/ (- (* -2 x) (* -1 x)) s)))
#s(approx (- (+ (* -2 (/ x s)) 2) (/ (neg x) s)) #s(hole binary32 (/ (- (+ (* -2 x) (* 2 s)) (* -1 x)) s)))
#s(approx (+ (* -2 (/ x s)) 2) #s(hole binary32 (/ (+ (* -2 x) (* 2 s)) s)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2)))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (* x (- (* 2 (pow x 2)) (pow x 2)))) (+ (* 1/8 (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2)))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* 1/2 (/ (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* 1/2 (/ (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (* 1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2))))) s)) (+ (* -1/16 (/ (* x (- (* 2 (pow x 2)) (pow x 2))) s)) (* 1/8 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2))))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) s)))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))) s))) s)))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) s)))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))) s))) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
Outputs
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))))) #s(literal 1 binary32)))
(pow.f32 (+.f32 (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))))) #s(literal 1 binary32)) #s(literal -1 binary32))
#s(literal 1 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 2 binary32)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 2 binary32)) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32)))))))))
(-.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32)))))))
(fma.f32 #s(literal 2 binary32) #s(literal 1/2 binary32) (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))))))
(+.f32 (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))))))
(sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (/.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 2 binary32))))
(fabs.f32 (neg.f32 (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32)))))))
(fabs.f32 (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))))))
(exp.f32 (*.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (/.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 2 binary32)))
(+.f32 (cosh.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (sinh.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(fabs.f32 (neg.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))))))
(fabs.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32))))
#s(approx (* (/ (neg x) s) 2) (*.f32 (/.f32 x s) #s(literal -2 binary32)))
(*.f32 (/.f32 x s) #s(literal -2 binary32))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
#s(literal -2 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) s) x)
(*.f32 x (/.f32 #s(literal 1 binary32) s))
(/.f32 (*.f32 x #s(literal 1 binary32)) s)
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) (/.f32 s x))
x
s
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #s(literal 1/4 binary32)) (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal 1/64 binary32) #s(literal 1/8 binary32)) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/64 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)))) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))))
(-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal -1/2 binary32))
(-.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
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#s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s)))))
#s(approx (+ (* -2 (/ x s)) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2 binary32) s)) x))
#s(approx (- 2 (/ x s)) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx (+ (* -2 (/ x s)) 2) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx s s)
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))
#s(approx (/ 1 s) (/.f32 #s(literal 1 binary32) s))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) (/.f32 (-.f32 (+.f32 s s) x) s))
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s))
#s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) x (+.f32 s s)) (neg.f32 x)) s))
#s(approx (+ (* -2 (/ x s)) 2) (/.f32 (fma.f32 #s(literal -2 binary32) x (+.f32 s s)) s))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (-.f32 (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (-.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) x) (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -4/3 binary32)) (*.f32 (neg.f32 x) (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)))) #s(literal 1/8 binary32)))) (*.f32 (*.f32 s s) s))) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -4/3 binary32)) (*.f32 (neg.f32 x) (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)))) (*.f32 (*.f32 s s) s)) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) (*.f32 s s))))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s))))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -4/3 binary32)) (*.f32 (neg.f32 x) (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)))) (*.f32 (*.f32 s s) s)) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) (*.f32 s s))) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (exp (* (/ (neg x) s) 2)) (+.f32 (fma.f32 (/.f32 x s) #s(literal -2 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (exp (* (/ (neg x) s) 2)) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal -2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -4/3 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 2 binary32))))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (+.f32 (-.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x (/.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 s s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 #s(literal 1/12 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (-.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (fma.f32 #s(literal 1/12 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32))))) (neg.f32 (*.f32 x (/.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 s s))))) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 x x)) (*.f32 (*.f32 s s) s)) #s(literal 2/3 binary32) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))))) (neg.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (neg.f32 x) (*.f32 #s(literal 1/4 binary32) x)))) (*.f32 (*.f32 s s) s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -2 binary32) (*.f32 #s(literal 4/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (fma.f32 (*.f32 x (/.f32 (neg.f32 x) (*.f32 s s))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (-.f32 (+.f32 #s(literal 2 binary32) (fma.f32 (/.f32 x s) #s(literal -2 binary32) (fma.f32 #s(literal -2/3 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) (*.f32 #s(literal 4/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))))) (/.f32 (neg.f32 x) s)) (fma.f32 (*.f32 x (/.f32 (neg.f32 x) (*.f32 s s))) #s(literal -1/2 binary32) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (neg.f32 x) x) #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) (*.f32 (*.f32 s s) s))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/12 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (neg.f32 x)) (*.f32 (*.f32 s s) s)) #s(literal 1/6 binary32) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))))))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) s) #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/8 binary32))) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) x)) s) #s(literal 1/8 binary32) (*.f32 (*.f32 x (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) s)) #s(literal -1/16 binary32)))) (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (sqrt (exp (* (/ (neg x) s) 2)))) (+.f32 (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) x)) s) #s(literal -1/2 binary32) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/2 binary32))) s))) s)) #s(literal 2 binary32)))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) s) #s(literal -1/2 binary32) x) s)) #s(literal 1 binary32)))
#s(approx (sqrt (exp (* (/ (neg x) s) 2))) (+.f32 (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) x)) s) #s(literal -1/2 binary32) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/2 binary32))) s))) s)) #s(literal 1 binary32)))
#s(approx (exp (* (/ (neg x) s) 2)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32) (+.f32 x x)) s)) #s(literal 1 binary32)))
#s(approx (exp (* (/ (neg x) s) 2)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -4/3 binary32))) s))) s))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (+.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/12 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/48 binary32)) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 x x)) (*.f32 #s(literal -1/4 binary32) x) (*.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) x)))) s))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s)) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (-.f32 (+.f32 x x) x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 (-.f32 (+.f32 x x) x) x) #s(literal 1/2 binary32)))) s))) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 4/3 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) x)) (fma.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (-.f32 (+.f32 x x) x) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 (-.f32 (+.f32 x x) x) x) #s(literal 1/2 binary32)))))))) s))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 (-.f32 (+.f32 x x) x) x) #s(literal 1/2 binary32)))) s))) x) s)) #s(literal 2 binary32)))

eval20.0ms (0.8%)

Memory
7.6MiB live, 54.1MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 767 to 1 233 computations (55.4% saved)

prune14.0ms (0.5%)

Memory
-11.9MiB live, 35.2MiB allocated; 2ms collecting garbage
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New2119220
Fresh167
Picked235
Done022
Total21420234
Accuracy
100.0%
Counts
234 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))))
40.1%
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) x (+.f32 s s)) (neg.f32 x)) s))))
▶19.6%
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
✓40.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶40.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
40.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
37.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
✓40.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
▶39.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x))))
32.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
19.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
62.7%
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
62.8%
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/.f32 (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))) (neg.f32 (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))))
26.8%
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
✓28.1%
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶28.1%
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #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)))
28.0%
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
21.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
✓32.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 710 to 687 computations (3.2% saved)

series27.0ms (1%)

Memory
17.2MiB live, 64.5MiB allocated; 1ms collecting garbage
Counts
32 → 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)
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))
#s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s))
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s))
#s(literal 1/4 binary32)
(*.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 s x))
(/.f32 s x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x)))
#s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x))
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x)
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s))
(/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)
(fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32))
Outputs
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* 1/2 s)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (+ (* 1/4 x) (* 1/2 s))))
#s(approx (/ 1 (/ s x)) #s(hole binary32 (/ x s)))
#s(approx (/ s x) #s(hole binary32 (/ s x)))
#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 x) 2) -1) #s(hole binary32 (* 2 (/ s x))))
#s(approx (+ (* (/ s x) 2) -1) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) x)))
#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 (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ (- 1 (exp (* -2 (/ x s)))) (- 1 (exp (* -1 (/ x s)))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (/ 1 (+ 1 (sqrt (exp (* -2 (/ x s))))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* 1/4 x)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* x (+ 1/4 (* 1/2 (/ s x))))))
#s(approx (- (/ 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 x) 2) -1) #s(hole binary32 -1))
#s(approx (+ (* (/ s x) 2) -1) #s(hole binary32 (- (* 2 (/ s x)) 1)))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))))
#s(approx s #s(hole binary32 s))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (/ 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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2)))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (* x (- (* 2 (pow x 2)) (pow x 2)))) (+ (* 1/8 (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2)))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* s (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (+ (* (/ s x) 2) -1) #s(hole binary32 (* s (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2))))) s)) (+ (* -1/16 (/ (* x (- (* 2 (pow x 2)) (pow x 2))) s)) (* 1/8 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2))))) s)) (* 1/4 x)) s)))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))))
#s(approx (+ (* (/ s x) 2) -1) #s(hole binary32 (* -1 (* s (- (/ 1 s) (* 2 (/ 1 x)))))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (- 2 (/ x s)) (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ 1 (/ s x))) 2 (/ 1 (/ s x)) (/ s x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ (+ (* (/ s x) 2) -1) s) (+ (* (/ s x) 2) -1))
3.0ms
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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (- 2 (/ x s)) (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ 1 (/ s x))) 2 (/ 1 (/ s x)) (/ s x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ (+ (* (/ s x) 2) -1) s) (+ (* (/ s x) 2) -1))
3.0ms
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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (- 2 (/ x s)) (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ 1 (/ s x))) 2 (/ 1 (/ s x)) (/ s x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ (+ (* (/ s x) 2) -1) s) (+ (* (/ s x) 2) -1))
3.0ms
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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (- 2 (/ x s)) (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ 1 (/ s x))) 2 (/ 1 (/ s x)) (/ s x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ (+ (* (/ s x) 2) -1) s) (+ (* (/ s x) 2) -1))
3.0ms
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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (- 2 (/ x s)) (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ 1 (/ s x))) 2 (/ 1 (/ s x)) (/ s x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ (+ (* (/ s x) 2) -1) s) (+ (* (/ s x) 2) -1))

rewrite228.0ms (8.8%)

Memory
-14.1MiB live, 271.6MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05152789
05382555
141832505
080782247
1217952247
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
109 → 243
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)
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))
#s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s))
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s))
#s(literal 1/4 binary32)
(*.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 s x))
(/.f32 s x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x)))
#s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x))
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x)
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s))
(/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)
(fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* 1/2 s)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (+ (* 1/4 x) (* 1/2 s))))
#s(approx (/ 1 (/ s x)) #s(hole binary32 (/ x s)))
#s(approx (/ s x) #s(hole binary32 (/ s x)))
#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 x) 2) -1) #s(hole binary32 (* 2 (/ s x))))
#s(approx (+ (* (/ s x) 2) -1) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) x)))
#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 (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ (- 1 (exp (* -2 (/ x s)))) (- 1 (exp (* -1 (/ x s)))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (/ 1 (+ 1 (sqrt (exp (* -2 (/ x s))))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* 1/4 x)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* x (+ 1/4 (* 1/2 (/ s x))))))
#s(approx (- (/ 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 x) 2) -1) #s(hole binary32 -1))
#s(approx (+ (* (/ s x) 2) -1) #s(hole binary32 (- (* 2 (/ s x)) 1)))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))))
#s(approx s #s(hole binary32 s))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (/ 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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2)))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (* x (- (* 2 (pow x 2)) (pow x 2)))) (+ (* 1/8 (- (* -4/3 (pow x 3)) (* -1 (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2)))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow s 2))))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* s (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (+ (* (/ s x) 2) -1) #s(hole binary32 (* s (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (- (* 2 (pow x 2)) (pow x 2)) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2))))) s)) (+ (* -1/16 (/ (* x (- (* 2 (pow x 2)) (pow x 2))) s)) (* 1/8 (/ (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (- (* 2 (pow x 2)) (pow x 2))))) s)) (* 1/4 x)) s)))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))))
#s(approx (+ (* (/ s x) 2) -1) #s(hole binary32 (* -1 (* s (- (/ 1 s) (* 2 (/ 1 x)))))))
Outputs
(*.f32 (/.f32 #s(literal -1 binary32) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.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))
#s(literal 1 binary32)
(*.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) (expm1.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))) (*.f32 #s(literal 1 binary32) (exp.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 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.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 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))) (neg.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 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))
(fma.f32 #s(literal 2 binary32) #s(literal 1/2 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(neg.f32 (/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(neg.f32 (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
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#s(approx (+ (* (/ s x) 2) -1) (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (- 2 (/ x s)) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) (neg.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 s x) #s(literal -1/4 binary32)) x)))
#s(approx s s)
#s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) (/.f32 (-.f32 (+.f32 s s) x) s))
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (-.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 (sqrt (exp (* (/ (neg x) s) 2))))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (exp (/ (neg x) s)) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 x s)) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (exp (/ (neg x) s)) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 x s)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+.f32 (-.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x (/.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 s s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 #s(literal 1/12 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (-.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (fma.f32 #s(literal 1/12 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32))))) (neg.f32 (*.f32 x (/.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 s s))))) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 x x)) (*.f32 (*.f32 s s) s)) #s(literal 2/3 binary32) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))))) (neg.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (neg.f32 x) (*.f32 #s(literal 1/4 binary32) x)))) (*.f32 (*.f32 s s) s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 x s)))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 (-.f32 (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) (*.f32 #s(literal 4/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (fma.f32 (*.f32 x (/.f32 (neg.f32 x) (*.f32 s s))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))))
#s(approx (- (exp (/ (neg x) s)) -1) (-.f32 (-.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 x s) (fma.f32 #s(literal -2/3 binary32) (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) (*.f32 #s(literal 4/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))))) (/.f32 (neg.f32 x) s)) (fma.f32 (*.f32 x (/.f32 (neg.f32 x) (*.f32 s s))) #s(literal -1/2 binary32) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (neg.f32 x) x) #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) (*.f32 (*.f32 s s) s))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/12 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (neg.f32 x)) (*.f32 (*.f32 s s) s)) #s(literal 1/6 binary32) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))))))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (-.f32 (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (-.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) x) (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 (-.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (neg.f32 x) (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)))) #s(literal 1/8 binary32)))) (*.f32 (*.f32 s s) s))) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 s s)))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))
#s(approx (+ (* (/ s x) 2) -1) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) s))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+.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 (sqrt (exp (* (/ (neg x) s) 2))))) (+.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 (- (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 (sqrt (exp (* (/ (neg x) s) 2))))) (+.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/12 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/48 binary32)) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 x x)) (*.f32 #s(literal -1/4 binary32) x) (*.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) x)))) s))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s)) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (neg.f32 (/.f32 (-.f32 (+.f32 x x) x) s)) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 (-.f32 (+.f32 x x) x) x) #s(literal 1/2 binary32)))) s))) x) s))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 4/3 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) x)) (fma.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (-.f32 (+.f32 x x) x) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 (-.f32 (+.f32 x x) x) x) #s(literal 1/2 binary32)))))))) s))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 (-.f32 (+.f32 x x) x) x) #s(literal 1/2 binary32)))) s))) x) s)) #s(literal 2 binary32)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) s) #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/8 binary32))) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) x)) s) #s(literal 1/8 binary32) (*.f32 (*.f32 x (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) s)) #s(literal -1/16 binary32)))) (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 2 binary32)) (*.f32 x x)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) (neg.f32 (*.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal -1/2 binary32)) s)))
#s(approx (+ (* (/ s x) 2) -1) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) s)))

eval22.0ms (0.8%)

Memory
11.6MiB live, 58.2MiB allocated; 1ms collecting garbage
Compiler

Compiled 2 791 to 1 300 computations (53.4% saved)

prune24.0ms (0.9%)

Memory
4.2MiB live, 46.3MiB allocated; 6ms collecting garbage
Pruning

24 alts after pruning (15 fresh and 9 done)

PrunedKeptTotal
New2399248
Fresh4610
Picked145
Done055
Total24424268
Accuracy
100.0%
Counts
268 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))))
40.1%
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) x (+.f32 s s)) (neg.f32 x)) s))))
40.1%
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
✓19.6%
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
19.6%
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 x))))))
✓40.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
40.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal 1 binary32) x))))))
37.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
✓40.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
✓39.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x))))
39.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) (/.f32 (-.f32 (+.f32 s s) x) x)) s)) x))))
30.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) (/.f32 (+.f32 s s) x)) s)) x))))
19.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) #s(literal -1 binary32)) s)) x))))
32.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
62.7%
(*.f32 (/.f32 #s(literal -1 binary32) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
26.8%
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
✓28.1%
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
62.8%
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
✓28.1%
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #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)))
28.1%
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s)))
28.0%
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
21.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
✓32.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 909 to 726 computations (20.1% saved)

regimes98.0ms (3.8%)

Memory
13.0MiB live, 135.0MiB allocated; 40ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.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 (- 2 (/ x s)) (*.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))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) #s(literal -1 binary32)) s)) x))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal 1 binary32) x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) (/.f32 (+.f32 s s) x)) s)) x))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) x (+.f32 s s)) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) (/.f32 (-.f32 (+.f32 s s) x) x)) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.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 (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/.f32 (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))) (neg.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (/.f32 (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))) (neg.f32 (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))))
Calls

7 calls:

24.0ms
s
20.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
18.0ms
(/.f32 (neg.f32 x) s)
10.0ms
x
10.0ms
(neg.f32 x)
Results
AccuracySegmentsBranch
99.9%1(neg.f32 x)
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1x
99.9%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes71.0ms (2.7%)

Memory
11.9MiB live, 105.1MiB allocated; 26ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.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 (- 2 (/ x s)) (*.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))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) #s(literal -1 binary32)) s)) x))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal 1 binary32) x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) (/.f32 (+.f32 s s) x)) s)) x))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) x (+.f32 s s)) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) (/.f32 (-.f32 (+.f32 s s) x) x)) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.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 (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
Calls

7 calls:

29.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
8.0ms
x
7.0ms
s
7.0ms
(neg.f32 x)
7.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.9%1(neg.f32 x)
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1x
99.9%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes44.0ms (1.7%)

Memory
8.0MiB live, 103.3MiB allocated; 2ms collecting garbage
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.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 (- 2 (/ x s)) (*.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))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) #s(literal -1 binary32)) s)) x))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal 1 binary32) x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) (/.f32 (+.f32 s s) x)) s)) x))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) x (+.f32 s s)) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) (/.f32 (-.f32 (+.f32 s s) x) x)) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
Calls

7 calls:

7.0ms
s
7.0ms
x
6.0ms
(neg.f32 x)
6.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
6.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
49.9%2(neg.f32 x)
54.1%3(/.f32 (neg.f32 x) s)
54.1%3(exp.f32 (/.f32 (neg.f32 x) s))
54.1%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
54.1%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.9%2x
43.3%2s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes40.0ms (1.5%)

Memory
-35.7MiB live, 89.3MiB allocated; 10ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.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 (- 2 (/ x s)) (*.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))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) #s(literal -1 binary32)) s)) x))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal 1 binary32) x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) (/.f32 (+.f32 s s) x)) s)) x))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) x (+.f32 s s)) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) (/.f32 (-.f32 (+.f32 s s) x) x)) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) x (+.f32 s s)) (neg.f32 x)) s))))
Calls

6 calls:

9.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
6.0ms
(neg.f32 x)
6.0ms
x
6.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
47.9%2x
47.9%2(neg.f32 x)
48.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.8%2(/.f32 (neg.f32 x) s)
48.8%2(exp.f32 (/.f32 (neg.f32 x) s))
48.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes20.0ms (0.8%)

Memory
3.8MiB live, 50.5MiB allocated; 2ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.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 (- 2 (/ x s)) (*.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))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) #s(literal -1 binary32)) s)) x))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal 1 binary32) x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) (/.f32 (+.f32 s s) x)) s)) x))))
#s(approx (/ 1 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s))))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.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))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (+.f32 s s) x) s))))
Calls

4 calls:

5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
48.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.8%2(/.f32 (neg.f32 x) s)
48.8%2(exp.f32 (/.f32 (neg.f32 x) s))
48.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes13.0ms (0.5%)

Memory
-15.3MiB live, 30.0MiB allocated; 2ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.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 (- 2 (/ x s)) (*.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))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(approx (+ (* (/ s x) 2) -1) #s(literal -1 binary32)) s)) x))))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 x))))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.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 #s(literal 2 binary32) (/.f32 x s))))
Calls

4 calls:

5.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
48.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.7%2(/.f32 (neg.f32 x) s)
48.7%2(exp.f32 (/.f32 (neg.f32 x) s))
48.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes8.0ms (0.3%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
Calls

4 calls:

2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(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
48.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.7%2(/.f32 (neg.f32 x) s)
48.7%2(exp.f32 (/.f32 (neg.f32 x) s))
48.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes11.0ms (0.4%)

Memory
-18.2MiB live, 29.2MiB allocated; 1ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (sqrt (exp (* (/ (neg x) s) 2))))) (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))
#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 (/ (neg (- (exp (* (/ (neg x) s) 2)) 1)) (- 1 (exp (/ (neg x) s)))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
Calls

6 calls:

2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
2.0ms
x
2.0ms
(neg.f32 x)
2.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
46.2%2x
46.2%2(neg.f32 x)
49.7%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.7%3(/.f32 (neg.f32 x) s)
49.7%3(exp.f32 (/.f32 (neg.f32 x) s))
49.7%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes5.0ms (0.2%)

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

4 calls:

1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
1.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
46.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
46.4%2(/.f32 (neg.f32 x) s)
46.4%2(exp.f32 (/.f32 (neg.f32 x) s))
46.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes9.0ms (0.4%)

Memory
-26.7MiB live, 22.3MiB allocated; 4ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
1.0ms
x
1.0ms
(neg.f32 x)
1.0ms
s
1.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
32.9%1s
32.9%1x
32.9%1(neg.f32 x)
32.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
32.9%1(/.f32 (neg.f32 x) s)
32.9%1(exp.f32 (/.f32 (neg.f32 x) s))
32.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.3416123390197754
8.37309741973877
0.0ms
1.0
1.393637776374817
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.393637776374817
1.5589053630828857
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.393637776374817
1.5589053630828857
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.393637776374817
1.5589053630828857
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.393637776374817
1.5589053630828857
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.3416123390197754
8.37309741973877
0.0ms
1.0
1.393637776374817
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.37309741973877
36.5759391784668
Compiler

Compiled 12 to 14 computations (-16.7% saved)

derivations340.0ms (13%)

Memory
-7.2MiB live, 419.8MiB allocated; 11ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 135 to 91 computations (32.6% saved)

preprocess60.0ms (2.3%)

Memory
-2.5MiB live, 188.3MiB allocated; 12ms collecting garbage
Compiler

Compiled 144 to 99 computations (31.3% saved)

end0.0ms (0%)

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

Profiling

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