Logistic function

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze32.0ms (0.9%)

Memory
-2.8MiB live, 41.8MiB allocated; 8ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample582.0ms (16.9%)

Memory
8.5MiB live, 765.7MiB allocated; 121ms collecting garbage
Samples
395.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 226.0ms
ival-div!: 102.0ms (45.1% of total)
ival-exp: 60.0ms (26.6% of total)
ival-neg: 41.0ms (18.1% of total)
ival-add!: 20.0ms (8.9% of total)
adjust: 2.0ms (0.9% of total)
ival-<=: 1.0ms (0.4% of total)
ival-and: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess33.0ms (1%)

Memory
-4.9MiB live, 41.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 18 to 16 computations (11.1% saved)

series9.0ms (0.3%)

Memory
16.5MiB live, 16.5MiB 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:

TimeVariablePoint
2.0ms
x
-inf
2.0ms
x
0
2.0ms
s
inf
2.0ms
x
inf
1.0ms
s
0

rewrite1.4s (40.8%)

Memory
-103.1MiB live, 279.3MiB allocated; 2.3s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval8.0ms (0.2%)

Memory
-32.7MiB live, 13.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 391 to 342 computations (75.4% saved)

prune5.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New62870
Fresh000
Picked101
Done000
Total63871
Accuracy
99.9%
Counts
71 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
49.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32))))
39.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
99.4%
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
99.8%
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
23.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
30.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 230 to 186 computations (19.1% saved)

series101.0ms (2.9%)

Memory
0.9MiB live, 147.9MiB allocated; 18ms collecting garbage
Counts
28 → 87
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))
(log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32)))
(+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x)
#s(literal -1/2 binary32)
(/.f32 (*.f32 x x) s)
(*.f32 x x)
(neg.f32 s)
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
Outputs
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (log 2)))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 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 (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s))))))
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow 2 -1/2) 2)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))))))) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (+ (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* x (+ (* -5/192 (/ (pow (pow 2 -1/2) 2) (pow s 3))) (* -1/64 (/ (pow (pow 2 -1/2) 2) (pow s 3)))))))))) (pow (pow 2 -1/2) 2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow 2 -1/2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* -1/32 (/ (* x (pow 2 -1/2)) (pow s 2))) (* 1/4 (/ (pow 2 -1/2) s)))) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* 1/4 (/ (pow 2 -1/2) s)) (* x (+ (* -1/32 (/ (pow 2 -1/2) (pow s 2))) (* -5/384 (/ (* x (pow 2 -1/2)) (pow s 3))))))) (pow 2 -1/2))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (log (+ 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 (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow (+ 1 (exp (* -1 (/ x s)))) -1/2) 2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) -1/2)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s)))
#s(approx (neg s) #s(hole binary32 (* -1 s)))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (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 (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s)))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (pow (pow 2 -1/2) 2))))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))) (pow s 3))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 2 (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow (pow 2 -1/2) 2)) (pow s 3))) (pow (pow 2 -1/2) 2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (pow 2 -1/2)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (+ (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow 2 -1/2)) (pow s 3)) (pow 2 -1/2))))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 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 (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) (* 2 (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow (pow 2 -1/2) 2)))) s)) (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow 2 -1/2)) s)) (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2))) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2))))
Calls

6 calls:

TimeVariablePoint
34.0ms
x
inf
30.0ms
x
-inf
17.0ms
s
0
8.0ms
s
inf
5.0ms
x
0

rewrite181.0ms (5.2%)

Memory
-5.5MiB live, 226.2MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05443262
05752751
134192630
091582510
Stop Event
iter-limit
node-limit
iter-limit
Counts
115 → 262
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))
(log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32)))
(+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x)
#s(literal -1/2 binary32)
(/.f32 (*.f32 x x) s)
(*.f32 x x)
(neg.f32 s)
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (log 2)))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 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 (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s))))))
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow 2 -1/2) 2)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))))))) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (+ (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* x (+ (* -5/192 (/ (pow (pow 2 -1/2) 2) (pow s 3))) (* -1/64 (/ (pow (pow 2 -1/2) 2) (pow s 3)))))))))) (pow (pow 2 -1/2) 2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow 2 -1/2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* -1/32 (/ (* x (pow 2 -1/2)) (pow s 2))) (* 1/4 (/ (pow 2 -1/2) s)))) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* 1/4 (/ (pow 2 -1/2) s)) (* x (+ (* -1/32 (/ (pow 2 -1/2) (pow s 2))) (* -5/384 (/ (* x (pow 2 -1/2)) (pow s 3))))))) (pow 2 -1/2))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (log (+ 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 (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow (+ 1 (exp (* -1 (/ x s)))) -1/2) 2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) -1/2)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s)))
#s(approx (neg s) #s(hole binary32 (* -1 s)))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (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 (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s)))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (pow (pow 2 -1/2) 2))))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))) (pow s 3))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 2 (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow (pow 2 -1/2) 2)) (pow s 3))) (pow (pow 2 -1/2) 2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (pow 2 -1/2)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (+ (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow 2 -1/2)) (pow s 3)) (pow 2 -1/2))))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 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 (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) (* 2 (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow (pow 2 -1/2) 2)))) s)) (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow 2 -1/2)) s)) (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2))) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2))))
Outputs
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) (neg.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))))
(*.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))) (sinh.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))))
(fabs.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(exp.f32 (fma.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32) (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32))))
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (log.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(-.f32 (log.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (log.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(-.f32 (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 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(+.f32 (cosh.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (sinh.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(exp.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) s)
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) #s(literal -1 binary32)))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)))
(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (neg.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))
(/.f32 (neg.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s))) #s(literal 8 binary32))) (neg.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s))))) (neg.f32 (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))))
(/.f32 (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))
(/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s))) #s(literal 8 binary32)) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(/.f32 (+.f32 #s(literal 8 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)))) (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
#s(literal 2 binary32)
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32)))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32)))) #s(literal -1 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32)))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 3 binary32)) #s(literal 8 binary32))) (neg.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32)) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s))))
(/.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 (pow.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32)) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32)))))
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s))))))
(fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal 2 binary32))
(+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)))
(*.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x))) (neg.f32 s))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x)) s)
(/.f32 (neg.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x)) (neg.f32 (neg.f32 s)))
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#s(approx (+ (/ (neg x) s) 2) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x)))
#s(approx s s)
#s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (neg.f32 s) x)) (*.f32 s s)))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) s))
#s(approx (neg s) (neg.f32 s))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (+.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 (* (log (- (exp (/ (neg x) s)) -1)) -1) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #s(literal -1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) (log.f32 #s(literal 1/2 binary32))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s)))) (log.f32 #s(literal 1/2 binary32))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32))) (*.f32 (*.f32 s s) s)) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #s(literal 1/2 binary32)))) (log.f32 #s(literal 2 binary32))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (fma.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (fma.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) (*.f32 s s)) #s(literal 2 binary32) #s(literal 1/2 binary32)))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (fma.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) x) (*.f32 (*.f32 s s) s)) #s(literal 1/2 binary32) (fma.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) (*.f32 s s)) #s(literal 2 binary32) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal -1/16 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 s s) s))) #s(literal 2 binary32) #s(literal 1/2 binary32)))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (fma.f32 (/.f32 (*.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) x) s) #s(literal 1/4 binary32) (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (*.f32 s s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (fma.f32 (/.f32 (*.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) x) s) #s(literal 1/4 binary32) (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (*.f32 s s)) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal -1/16 binary32)))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (*.f32 (*.f32 s s) s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32))))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal 1/2 binary32))) s)) (log.f32 #s(literal 1/2 binary32))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s))) s)) (log.f32 #s(literal 1/2 binary32))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal -1/2 binary32))) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (log (- (exp (/ (neg x) s)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) s))) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 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 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 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 (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/16 binary32))) s))) s))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal -1/2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal 1/16 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32))) s)) (fma.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/16 binary32)))) s))) s)) #s(literal 1/2 binary32)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) x) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (neg.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) s)))) s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) x) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (neg.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal 1/16 binary32)))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) s)))) s))) s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32))))

eval30.0ms (0.9%)

Memory
8.4MiB live, 54.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 8 490 to 1 352 computations (84.1% saved)

prune10.0ms (0.3%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New2647271
Fresh033
Picked145
Done000
Total26514279
Accuracy
99.9%
Counts
279 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
49.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32))))
39.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
48.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
39.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
99.4%
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
61.2%
(exp.f32 (*.f32 (-.f32 (log.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (log.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) #s(literal -1 binary32)))
99.6%
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
99.8%
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
23.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
30.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 475 to 376 computations (20.8% saved)

series47.0ms (1.4%)

Memory
-26.9MiB live, 76.6MiB allocated; 8ms collecting garbage
Counts
29 → 87
Calls
Call 1
Inputs
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))
(/.f32 (*.f32 x x) (*.f32 s s))
(*.f32 x x)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
#s(literal -1 binary32)
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
#s(literal 2 binary32)
Outputs
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (log 2)))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 2))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (* (/ (* x x) (* s s)) 1/2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (* x x) (* s s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (pow (sqrt 1/2) 2)))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* 1/4 (/ x s)) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* x (+ (* (pow x 2) (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (+ (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3)))))) (* 1/4 (/ 1 s)))) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* x (+ (* (pow x 2) (- (* x (+ (* -1 (+ (* 1/8 (/ (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3)))) (* s (pow (sqrt 1/2) 2)))) (* 1/16384 (/ 1 (* (pow s 4) (pow (sqrt 1/2) 6)))))) (+ (* 1/16384 (/ 1 (* (pow s 4) (pow (sqrt 1/2) 6)))) (* 1/8 (/ (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3)))) (* s (pow (sqrt 1/2) 2))))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))) (pow (sqrt 1/2) 2))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (sqrt 1/2)))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (pow (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) 2)))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (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 (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (pow s 2))) (+ (* 1/64 (/ (pow x 2) (* (pow s 2) (pow (sqrt 1/2) 2)))) (+ (* 1/4 (/ x s)) (pow (sqrt 1/2) 2))))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (pow s 3))) (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (pow s 2))) (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (* (pow s 3) (pow (sqrt 1/2) 2)))) (+ (* 1/64 (/ (pow x 2) (* (pow s 2) (pow (sqrt 1/2) 2)))) (+ (* 1/4 (/ x s)) (pow (sqrt 1/2) 2))))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 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 (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2)))) s)) (* -1/4 x)) s)) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))))))) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))) s)) (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))))) s)) (* -1/4 x)) s)) (pow (sqrt 1/2) 2))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))))
Calls

6 calls:

TimeVariablePoint
13.0ms
x
-inf
10.0ms
x
inf
9.0ms
s
0
5.0ms
s
-inf
4.0ms
s
inf

rewrite174.0ms (5%)

Memory
36.5MiB live, 224.8MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05613456
05872954
135772908
081672717
Stop Event
iter-limit
node-limit
iter-limit
Counts
116 → 270
Calls
Call 1
Inputs
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))
(/.f32 (*.f32 x x) (*.f32 s s))
(*.f32 x x)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
#s(literal -1 binary32)
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
#s(literal 2 binary32)
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (log 2)))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 2))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (* (/ (* x x) (* s s)) 1/2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (* x x) (* s s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (pow (sqrt 1/2) 2)))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* 1/4 (/ x s)) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* x (+ (* (pow x 2) (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (+ (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3)))))) (* 1/4 (/ 1 s)))) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* x (+ (* (pow x 2) (- (* x (+ (* -1 (+ (* 1/8 (/ (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3)))) (* s (pow (sqrt 1/2) 2)))) (* 1/16384 (/ 1 (* (pow s 4) (pow (sqrt 1/2) 6)))))) (+ (* 1/16384 (/ 1 (* (pow s 4) (pow (sqrt 1/2) 6)))) (* 1/8 (/ (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3)))) (* s (pow (sqrt 1/2) 2))))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))) (pow (sqrt 1/2) 2))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (sqrt 1/2)))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (pow (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) 2)))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (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 (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (pow s 2))) (+ (* 1/64 (/ (pow x 2) (* (pow s 2) (pow (sqrt 1/2) 2)))) (+ (* 1/4 (/ x s)) (pow (sqrt 1/2) 2))))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (pow s 3))) (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (pow s 2))) (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (* (pow s 3) (pow (sqrt 1/2) 2)))) (+ (* 1/64 (/ (pow x 2) (* (pow s 2) (pow (sqrt 1/2) 2)))) (+ (* 1/4 (/ x s)) (pow (sqrt 1/2) 2))))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 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 (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2)))) s)) (* -1/4 x)) s)) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))))))) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))) s)) (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))))) s)) (* -1/4 x)) s)) (pow (sqrt 1/2) 2))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))))
Outputs
(+.f32 (cosh.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))) (sinh.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))))
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(-.f32 #s(literal 0 binary32) (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (log.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (log.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32)))))))
(-.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(-.f32 (log.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (log.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(/.f32 (neg.f32 (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) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))
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#s(literal 2 binary32)
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#s(approx x x)
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#s(approx s s)
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#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) (+.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) x) #s(literal 1/2 binary32)) #s(literal -1/8 binary32) (fma.f32 (*.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 (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 (*.f32 s s) s))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal -1/2 binary32) (*.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 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 (* (log (- (exp (/ (neg x) s)) -1)) -1) (+.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) x)) s)) (log.f32 #s(literal 1/2 binary32))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal 1/6 binary32))) s))) s)) (log.f32 #s(literal 1/2 binary32))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) x)) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (neg (log (+ (exp (/ (neg x) s)) 1))) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal 1/6 binary32))) s))) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal -1/2 binary32))) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ (exp (/ (neg x) s)) 1)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal -1/6 binary32))) s))) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (exp (/ (neg x) s)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 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 (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32) (neg.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))))) s))) s))))
#s(approx (pow (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) 2) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) x (neg.f32 (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) x) #s(literal 1/2 binary32)) #s(literal 1/8 binary32) (neg.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) x) #s(literal 1/2 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x))))))) s))) (neg.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))))) s))) s)) #s(literal 1/2 binary32)))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/2 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32))) s)) (sqrt.f32 #s(literal 1/2 binary32))))
#s(approx (sqrt (/ 1 (- (exp (/ (neg x) s)) -1))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)))) x) #s(literal 1/2 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x))))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32))))) (sqrt.f32 #s(literal 1/2 binary32)))) s))) s)) (sqrt.f32 #s(literal 1/2 binary32))))

eval32.0ms (0.9%)

Memory
-33.4MiB live, 58.1MiB allocated; 8ms collecting garbage
Compiler

Compiled 8 935 to 1 475 computations (83.5% saved)

prune12.0ms (0.4%)

Memory
28.0MiB live, 28.0MiB allocated; 0ms collecting garbage
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New2979306
Fresh325
Picked145
Done134
Total30218320
Accuracy
99.9%
Counts
320 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(pow.f32 (exp.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) #s(literal 2 binary32))
99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
99.8%
(/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
49.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32))))
39.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
48.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
34.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/2 binary32)))))
36.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
39.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
99.9%
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
99.8%
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
23.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
23.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
7.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
23.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
30.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 636 to 503 computations (20.9% saved)

series71.0ms (2.1%)

Memory
-31.6MiB live, 116.8MiB allocated; 13ms collecting garbage
Counts
39 → 84
Calls
Call 1
Inputs
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (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(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 x s)
#s(literal 1/4 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))
(*.f32 x (/.f32 x (*.f32 s s)))
(/.f32 x (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s)) #s(literal 2 binary32)))
(+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s)) #s(literal 2 binary32))
(/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)))
(*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))
(*.f32 x (/.f32 x s))
#s(literal -1/2 binary32)
(neg.f32 s)
#s(literal 2 binary32)
Outputs
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (+ 1 (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 (* (* x (/ x (* s s))) 1/2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (* x (/ x (* s s))) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (pow s 2))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s))))))
#s(approx (* (* x (/ x s)) -1/2) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (* x (/ x s)) #s(hole binary32 (/ (pow x 2) s)))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s)))
#s(approx (neg s) #s(hole binary32 (* -1 s)))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 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 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s)))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 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)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
Calls

6 calls:

TimeVariablePoint
32.0ms
x
-inf
15.0ms
x
inf
10.0ms
s
0
3.0ms
x
0
3.0ms
s
-inf

rewrite156.0ms (4.5%)

Memory
39.7MiB live, 226.8MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04442630
04812340
126672316
082872220
Stop Event
iter-limit
node-limit
iter-limit
Counts
123 → 278
Calls
Call 1
Inputs
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (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(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 x s)
#s(literal 1/4 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))
(*.f32 x (/.f32 x (*.f32 s s)))
(/.f32 x (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s)) #s(literal 2 binary32)))
(+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s)) #s(literal 2 binary32))
(/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)))
(*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))
(*.f32 x (/.f32 x s))
#s(literal -1/2 binary32)
(neg.f32 s)
#s(literal 2 binary32)
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (+ 1 (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 (* (* x (/ x (* s s))) 1/2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (* x (/ x (* s s))) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (pow s 2))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s))))))
#s(approx (* (* x (/ x s)) -1/2) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (* x (/ x s)) #s(hole binary32 (/ (pow x 2) s)))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s)))
#s(approx (neg s) #s(hole binary32 (* -1 s)))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 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 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s)))))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (exp (* (log (- (exp (/ (neg x) s)) -1)) -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 (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 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)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
Outputs
(+.f32 (cosh.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))) (sinh.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))))
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(-.f32 #s(literal 0 binary32) (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) s)
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal 1/4 binary32) x)) (neg.f32 s))
(/.f32 (*.f32 #s(literal 1/4 binary32) x) s)
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal -1 binary32)))
(*.f32 (/.f32 x s) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 (*.f32 #s(literal 2 binary32) (neg.f32 x)) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 s s))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
#s(literal 1/4 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x))
(*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) x)
(*.f32 x (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (*.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(+.f32 (*.f32 x (/.f32 #s(literal 1/4 binary32) s)) (*.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) (*.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(-.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (fma.f32 #s(literal -1/4 binary32) (neg.f32 x) (*.f32 (neg.f32 s) #s(literal -1/2 binary32))) (*.f32 (neg.f32 s) (neg.f32 x)))
(/.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 (neg.f32 s) #s(literal 1/2 binary32))) (*.f32 (neg.f32 s) x))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (neg.f32 x) (*.f32 s #s(literal -1/2 binary32))) (*.f32 s (neg.f32 x)))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 s) (*.f32 (neg.f32 x) #s(literal -1/4 binary32))) (*.f32 (neg.f32 x) (neg.f32 s)))
(/.f32 (fma.f32 #s(literal -1/2 binary32) s (*.f32 (neg.f32 x) #s(literal 1/4 binary32))) (*.f32 (neg.f32 x) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 s) (*.f32 x #s(literal -1/4 binary32))) (*.f32 x (neg.f32 s)))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s)))) (neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (neg.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x)) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 s s) s)))) (neg.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s x))))))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x)))) (neg.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (*.f32 s x))))))
(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)))
(/.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x)) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 s s) s))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s x)))))
(/.f32 (+.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x))) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (*.f32 s x)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))) (*.f32 (neg.f32 s) x))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) s))
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/2 binary32) x))
(+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s x))))) (/.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 s s) s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s x))))))
(+.f32 (/.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 s s) s)) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (*.f32 s x))))) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (*.f32 s x))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s x)) (/.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 s x)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 s x)) (/.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s x)))
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal -1/2 binary32) (neg.f32 x))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 x)))
(/.f32 #s(literal 1/2 binary32) x)
(pow.f32 (*.f32 x #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -1 binary32))
(+.f32 (/.f32 #s(literal -1/4 binary32) x) (/.f32 #s(literal 3/4 binary32) x))
#s(literal 1/2 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))
(*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal -1/4 binary32) (neg.f32 s))
(/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s)))
(/.f32 #s(literal 1/4 binary32) s)
(+.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 1/2 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 1/2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 1/2 binary32))))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 1/2 binary32))))) #s(literal -1 binary32)))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 1/2 binary32))))
#s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 (*.f32 x x) (fabs.f32 s)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (*.f32 x x) (neg.f32 s)))
(*.f32 (/.f32 (*.f32 x x) (fabs.f32 s)) (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)))
(*.f32 (/.f32 (*.f32 x x) (neg.f32 s)) (/.f32 #s(literal 1/2 binary32) (neg.f32 s)))
(*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s))
(*.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #s(literal 1/2 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x (*.f32 s s)) x))
(*.f32 x (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (neg.f32 (*.f32 s s)))
(/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))
(*.f32 (/.f32 (fabs.f32 x) (fabs.f32 s)) (/.f32 (fabs.f32 x) (fabs.f32 s)))
(*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) (/.f32 (fabs.f32 x) (neg.f32 s)))
(*.f32 (/.f32 (neg.f32 x) (fabs.f32 s)) (/.f32 (neg.f32 x) (fabs.f32 s)))
(*.f32 (/.f32 x (fabs.f32 s)) (/.f32 x (fabs.f32 s)))
(*.f32 (/.f32 (fabs.f32 x) s) (/.f32 (fabs.f32 x) s))
(*.f32 (fabs.f32 (/.f32 (neg.f32 x) s)) (fabs.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (neg.f32 (/.f32 (neg.f32 x) s)) (neg.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (/.f32 x (neg.f32 s)) (/.f32 x (neg.f32 s)))
(*.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 x (*.f32 s s)) x)
(*.f32 (/.f32 x s) (/.f32 x s))
(*.f32 x (/.f32 x (*.f32 s s)))
(/.f32 (*.f32 (neg.f32 (neg.f32 x)) (neg.f32 x)) (*.f32 (neg.f32 s) s))
(/.f32 (*.f32 (neg.f32 x) (neg.f32 (neg.f32 x))) (*.f32 s (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (neg.f32 (neg.f32 (*.f32 s s))))
(/.f32 (neg.f32 (*.f32 x x)) (neg.f32 (*.f32 s s)))
(/.f32 (*.f32 x x) (*.f32 s s))
(pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(exp.f32 (-.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 s) #s(literal 2 binary32))))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 (*.f32 s s))))
(/.f32 (/.f32 (neg.f32 x) s) (neg.f32 s))
(/.f32 (/.f32 x s) s)
(/.f32 (neg.f32 x) (neg.f32 (*.f32 s s)))
(/.f32 x (*.f32 s s))
(*.f32 (fabs.f32 (fabs.f32 s)) (fabs.f32 (fabs.f32 s)))
(*.f32 (neg.f32 (fabs.f32 s)) (neg.f32 (fabs.f32 s)))
(*.f32 (exp.f32 (log.f32 s)) (exp.f32 (log.f32 s)))
(*.f32 (neg.f32 (neg.f32 s)) (neg.f32 (neg.f32 s)))
(*.f32 (fabs.f32 s) (fabs.f32 s))
(*.f32 (neg.f32 s) (neg.f32 s))
(*.f32 s s)
(pow.f32 (exp.f32 (log.f32 s)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 s) #s(literal 2 binary32))
(pow.f32 (*.f32 s s) #s(literal 1 binary32))
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#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32)))) (*.f32 (*.f32 s s) s)) (log.f32 #s(literal 2 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32))) (*.f32 (*.f32 s s) s)) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #s(literal 1/2 binary32)))) (log.f32 #s(literal 2 binary32))))
#s(approx (exp (/ (neg x) s)) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 x s)) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #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 (*.f32 s s)) x) #s(literal 1/2 binary32)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) x) #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 (*.f32 s s)) x) #s(literal 1/2 binary32)))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (exp (* (log (- (exp (/ (neg x) s)) -1)) -1)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 (/.f32 x s) x) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (+.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) x)) s)) (log.f32 #s(literal 1/2 binary32))))
#s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s))) s)) (log.f32 #s(literal 1/2 binary32))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) x)) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s))) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal -1/2 binary32))) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) s) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) s))) s)) (log.f32 #s(literal 2 binary32))))
#s(approx (exp (/ (neg x) s)) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) (neg.f32 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 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) (neg.f32 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 (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) (neg.f32 s)))

eval25.0ms (0.7%)

Memory
5.0MiB live, 51.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 9 297 to 1 520 computations (83.7% saved)

prune20.0ms (0.6%)

Memory
-18.1MiB live, 38.4MiB allocated; 4ms collecting garbage
Pruning

24 alts after pruning (13 fresh and 11 done)

PrunedKeptTotal
New2627269
Fresh066
Picked055
Done167
Total26324287
Accuracy
99.9%
Counts
287 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(pow.f32 (exp.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) #s(literal 2 binary32))
99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
99.8%
(/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
39.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
49.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32))))
49.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (neg.f32 s)) #s(literal 2 binary32))))
48.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
33.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (neg.f32 s)) (/.f32 #s(literal 1/2 binary32) (neg.f32 s))))))
34.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)))))
34.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/2 binary32)))))
36.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
36.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
39.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
99.9%
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
99.8%
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
23.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
23.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
7.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
23.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
30.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
7.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
30.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 282 to 632 computations (50.7% saved)

regimes57.0ms (1.7%)

Memory
5.4MiB live, 98.4MiB allocated; 6ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (neg.f32 s)) (/.f32 #s(literal 1/2 binary32) (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32))))
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (-.f32 (log.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (log.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) #s(literal -1 binary32)))
Outputs
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
Calls

7 calls:

10.0ms
x
8.0ms
s
8.0ms
(neg.f32 x)
8.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(exp.f32 (/.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)

regimes46.0ms (1.3%)

Memory
-24.1MiB live, 75.0MiB allocated; 9ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (neg.f32 s)) (/.f32 #s(literal 1/2 binary32) (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32))))
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
Outputs
(exp.f32 #s(approx (* (log (- (exp (/ (neg x) s)) -1)) -1) (neg.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
Calls

7 calls:

11.0ms
(neg.f32 x)
8.0ms
x
6.0ms
s
6.0ms
(/.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
99.8%1(neg.f32 x)
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1x
99.8%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes39.0ms (1.1%)

Memory
24.7MiB live, 71.1MiB allocated; 3ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (neg.f32 s)) (/.f32 #s(literal 1/2 binary32) (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
Calls

7 calls:

6.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms
s
6.0ms
x
6.0ms
(neg.f32 x)
5.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.8%1(neg.f32 x)
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1x
99.8%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes36.0ms (1%)

Memory
-29.7MiB live, 64.4MiB allocated; 5ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (/.f32 (*.f32 x x) (neg.f32 s)) (/.f32 #s(literal 1/2 binary32) (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) s)) (neg.f32 s)) #s(literal 2 binary32))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (+ (* -1/2 (/ (* x x) s)) x) (neg s)) 2) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
Calls

7 calls:

7.0ms
(neg.f32 x)
7.0ms
x
5.0ms
s
5.0ms
(/.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
57.8%2(neg.f32 x)
60.1%2(/.f32 (neg.f32 x) s)
60.1%2(exp.f32 (/.f32 (neg.f32 x) s))
60.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
60.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
57.8%2x
49.1%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes21.0ms (0.6%)

Memory
41.8MiB live, 41.8MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
Calls

7 calls:

3.0ms
s
3.0ms
x
3.0ms
(neg.f32 x)
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
39.4%1s
48.6%2x
48.6%2(neg.f32 x)
49.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.1%2(/.f32 (neg.f32 x) s)
49.1%2(exp.f32 (/.f32 (neg.f32 x) s))
49.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes12.0ms (0.4%)

Memory
-29.1MiB live, 21.4MiB allocated; 3ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
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:

4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(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
49.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.1%2(/.f32 (neg.f32 x) s)
49.1%2(exp.f32 (/.f32 (neg.f32 x) s))
49.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes13.0ms (0.4%)

Memory
28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Accuracy

Total -7.5b remaining (-33.8%)

Threshold costs -7.5b (-33.8%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Calls

7 calls:

2.0ms
(neg.f32 x)
2.0ms
s
2.0ms
x
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
30.8%1s
30.8%1x
30.8%1(neg.f32 x)
30.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
30.8%1(exp.f32 (/.f32 (neg.f32 x) s))
30.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
30.8%1(/.f32 (neg.f32 x) s)
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
123100.578125
6.555260374335325e+22
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.134452223777771
1.6561609506607056
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.0065460205078125
-0.4213491976261139
Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations248.0ms (7.2%)

Memory
-40.7MiB live, 244.4MiB allocated; 16ms collecting garbage
Stop Event
fuel
Compiler

Compiled 193 to 67 computations (65.3% saved)

preprocess43.0ms (1.2%)

Memory
8.3MiB live, 105.1MiB allocated; 9ms collecting garbage
Compiler

Compiled 202 to 75 computations (62.9% saved)

end0.0ms (0%)

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

Profiling

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