Logistic function

Time bar (total: 2.6s)

start0.0ms (0%)

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

analyze28.0ms (1.1%)

Memory
-5.0MiB live, 40.4MiB allocated; 4ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample832.0ms (31.8%)

Memory
17.9MiB live, 802.8MiB allocated; 757ms collecting garbage
Samples
656.0ms8 255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-div!: 84.0ms (38.8% of total)
ival-exp: 66.0ms (30.5% of total)
ival-neg: 43.0ms (19.8% of total)
ival-add!: 20.0ms (9.2% of total)
adjust: 2.0ms (0.9% of total)
ival-<=: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
Bogosity

preprocess38.0ms (1.5%)

Memory
-11.9MiB live, 38.4MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02450
17650
216150
355650
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.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 (0.4%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Counts
8 → 31
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Calls

6 calls:

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

rewrite166.0ms (6.4%)

Memory
34.4MiB live, 218.1MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181784
0189698
11087689
08166663
Stop Event
1×iter-limit
1×node-limit
1×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)))

eval9.0ms (0.3%)

Memory
-32.2MiB live, 13.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 781 to 342 computations (56.2% saved)

prune4.0ms (0.2%)

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New63770
Fresh000
Picked101
Done000
Total64771
Accuracy
99.8%
Counts
71 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.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))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
▶38.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
14.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
▶27.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶34.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 168 to 164 computations (2.4% saved)

series11.0ms (0.4%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Counts
23 → 88
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 (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))
Outputs
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 2))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 2))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)))
2.0ms
x
@-inf
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)))
1.0ms
x
@0
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)))
1.0ms
s
@0
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)))
1.0ms
s
@-inf
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (/ 1 (- (exp (/ (neg x) s)) -1)) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)))

rewrite204.0ms (7.8%)

Memory
10.4MiB live, 191.2MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02732350
02922061
113602045
080731978
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
111 → 220
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 (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))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 2))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 2))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (/.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 (+.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 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))
(fma.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+.f32 (/.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 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
(*.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
(*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(/.f32 (-.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 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))
(exp.f32 (/.f32 (neg.f32 x) s))
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (cosh.f32 #s(literal -1 binary32)) (cosh.f32 #s(literal -1 binary32))) (*.f32 (sinh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32)))) (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 #s(literal -1 binary32)) (cosh.f32 #s(literal -1 binary32)) (-.f32 (*.f32 (sinh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32))) (*.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 1 binary32)))
(+.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
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(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
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#s(literal 1/4 binary32)
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(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))
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(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))
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(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) s)
(neg.f32 (/.f32 x s))
(*.f32 x #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) x)
(neg.f32 x)
#s(literal 2 binary32)
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(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
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#s(approx (/ x s) (/.f32 x s))
#s(approx x x)
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#s(approx (+ 1 (pow (exp -1) (/ x s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
#s(approx (+ 1 (pow (exp -1) (/ x s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (pow (exp -1) (/ x s))) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ (/ (neg x) s) 2) #s(literal 2 binary32))
#s(approx (+ (/ (neg x) s) 2) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (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 (- (exp (/ (neg x) s)) -1)) (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 (- (exp (/ (neg x) s)) -1) #s(literal 2 binary32))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (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 (- (exp (/ (neg x) s)) -1) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (pow (exp -1) (/ x s)) #s(literal 1 binary32))
#s(approx (pow (exp -1) (/ x s)) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ x s)) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ x s)) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ 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 (pow (exp -1) (/ x s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ x s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#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 (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
#s(approx (+ 1 (pow (exp -1) (/ x s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ x s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (+ (/ (neg x) s) 2) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx s s)
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (pow (exp -1) (/ x s))) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (pow (exp -1) (/ x s)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ x s)) (+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (pow (exp -1) (/ x s))) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (pow (exp -1) (/ x s)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ x s)) (+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (pow (exp -1) (/ x s))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (pow (exp -1) (/ x s)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ x s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (pow (exp -1) (/ x s))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (pow (exp -1) (/ x s)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ x s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))

eval15.0ms (0.6%)

Memory
-11.8MiB live, 30.6MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 014 to 736 computations (63.5% saved)

prune8.0ms (0.3%)

Memory
19.1MiB live, 19.1MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New1677174
Fresh112
Picked055
Done000
Total16813181
Accuracy
99.8%
Counts
181 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓38.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
38.3%
(/.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))))
18.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
▶38.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
▶14.6%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (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)))
✓27.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶7.0%
#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))))
▶27.1%
#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)))
✓34.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 332 to 313 computations (5.7% saved)

series54.0ms (2.1%)

Memory
-33.5MiB live, 80.3MiB allocated; 39ms collecting garbage
Counts
38 → 118
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
s
#s(literal 2 binary32)
#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))
#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 (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 2 binary32) x)
(/.f32 #s(literal 1 binary32) s)
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))
(*.f32 x x)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
#s(literal -1/48 binary32)
Outputs
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* -1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/4 (/ (* (log (pow (exp -1) 2)) (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))) s)) (+ (* -1/128 (/ (pow (log (pow (exp -1) 2)) 3) (pow s 3))) (* 1/192 (/ (pow (log (pow (exp -1) 2)) 3) (pow s 3))))))) (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 2))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 1))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (/ (/ x s) 2) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ 1/2 x) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 2))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 2))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (/ 2 x) #s(hole binary32 (/ 2 x)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (/ (* x x) (* (* s s) s)) #s(hole binary32 (/ (pow x 2) (pow s 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (/ x s))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) (pow s 2)))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))))) (+ (* -1/128 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))) (* 1/192 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))))) (pow s 3)))) (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (+ (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s)) (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/192 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (+ (* 1/128 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/4 (/ (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))))) s)))) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))) s)) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
s
@inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) (/ 1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48)
12.0ms
x
@inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) (/ 1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48)
5.0ms
x
@0
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) (/ 1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48)
5.0ms
x
@-inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) (/ 1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48)
5.0ms
s
@-inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) (/ 1 s) (/ 1 (- (exp (/ (neg x) s)) -1)) (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/ (* x x) (* (* s s) s)) (* x x) (* (* s s) s) (* s s) -1/48)

rewrite212.0ms (8.1%)

Memory
8.1MiB live, 190.5MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05263852
05633164
129773006
081932923
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
156 → 342
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
s
#s(literal 2 binary32)
#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))
#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 (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
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(fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))
(*.f32 x x)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
#s(literal -1/48 binary32)
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#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* -1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
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#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 2))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 1))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (/ (/ x s) 2) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ 1/2 x) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 2))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 2))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (/ 2 x) #s(hole binary32 (/ 2 x)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2))
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#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
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#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (/ (* x x) (* (* s s) s)) #s(hole binary32 (/ (pow x 2) (pow s 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (/ x s))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
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#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))))
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#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
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#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))))) (+ (* -1/128 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))) (* 1/192 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))))) (pow s 3)))) (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (+ (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))))
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#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s)) (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/192 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (+ (* 1/128 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/4 (/ (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))))) s)))) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))) s)) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)))
(pow.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))))))))
(fma.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) (pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) (pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))
(+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))))
(*.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))))
(*.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))))
(*.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))))
(*.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))))
(*.f32 (pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) (pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))))
(*.f32 (pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) (pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))))
(*.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s)))))
(pow.f32 (*.f32 (exp.f32 #s(literal -2 binary32)) (exp.f32 #s(literal -2 binary32))) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (+.f32 (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (+.f32 s s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 x (+.f32 s s)) (/.f32 x (+.f32 s s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 s s))))
(+.f32 (cosh.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) (sinh.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))))
(*.f32 (fabs.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32)))) (fabs.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32)))))
(*.f32 (neg.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32)))))
(*.f32 (neg.f32 (neg.f32 (exp.f32 #s(literal -1 binary32)))) (neg.f32 (neg.f32 (exp.f32 #s(literal -1 binary32)))))
(*.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (fabs.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (neg.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32)))
(-.f32 (cosh.f32 #s(literal 2 binary32)) (sinh.f32 #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 2 binary32)))
(pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32))
(fabs.f32 (exp.f32 #s(literal -2 binary32)))
(+.f32 (cosh.f32 #s(literal -2 binary32)) (sinh.f32 #s(literal -2 binary32)))
(exp.f32 #s(literal -2 binary32))
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 1 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))
(/.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32))
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 (neg.f32 x) (neg.f32 (+.f32 s s)))
(/.f32 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)
x
s
#s(literal 2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal 1/4 binary32) x)) (neg.f32 s))
(/.f32 (*.f32 #s(literal 1/4 binary32) x) s)
#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 (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 x s))))))
(/.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 x s)))))
(/.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))) (neg.f32 (*.f32 x s)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 x s))
(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 #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)
#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)))
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#s(approx s s)
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#s(approx (/ 1/4 s) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
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#s(approx (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32))) (*.f32 (*.f32 s s) s)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/48 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s)))
#s(approx (* (* s s) s) (*.f32 (*.f32 s s) s))
#s(approx (* s s) (*.f32 s s))
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#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
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#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s))
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#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s) #s(literal -1/192 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 0 binary32)) #s(literal -2 binary32)) x) s) #s(literal 1/4 binary32) (*.f32 #s(literal 1/128 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s)))) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 0 binary32))) s)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(literal -1/8 binary32))) s)) #s(literal 1/2 binary32)))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -2 binary32) x) (*.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) s) #s(literal -1/8 binary32))) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ (/ x s) 2))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal -2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s) #s(literal 1/48 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 4 binary32))) s))) s))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -2 binary32) x) (*.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) s) #s(literal -1/8 binary32))) s)) #s(literal 1 binary32)))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ x s) 2)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal -2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s) #s(literal 1/48 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 4 binary32))) s))) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.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 (+ (* (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/48 binary32)) #s(literal 1/4 binary32)) s)))

eval29.0ms (1.1%)

Memory
15.4MiB live, 59.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 734 to 1 605 computations (57% saved)

prune16.0ms (0.6%)

Memory
-6.5MiB live, 36.9MiB allocated; 6ms collecting garbage
Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New3167323
Fresh033
Picked235
Done055
Total31818336
Accuracy
99.8%
Counts
336 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓38.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
38.3%
(/.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))))
▶18.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
▶31.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
✓38.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
▶34.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
18.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
21.3%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
✓27.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓7.0%
#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))))
✓27.1%
#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)))
34.0%
#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)))
▶6.9%
#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)))
✓34.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 507 to 478 computations (5.7% saved)

series42.0ms (1.6%)

Memory
-7.0MiB live, 38.2MiB allocated; 4ms collecting garbage
Counts
37 → 106
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))))
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))
(*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x (+.f32 s s))
x
(+.f32 s s)
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#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))
(*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s)))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))
(*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)
(/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s))
(-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32)))
(*.f32 x #s(literal 1 binary32))
(*.f32 x s)
Outputs
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* -1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/4 (/ (* (log (pow (exp -1) 2)) (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))) s)) (+ (* -1/128 (/ (pow (log (pow (exp -1) 2)) 3) (pow s 3))) (* 1/192 (/ (pow (log (pow (exp -1) 2)) 3) (pow s 3))))))) (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 2))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 1))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (/ x (+ s s)) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 2))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 2))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (/ 2 x) #s(hole binary32 (/ 2 x)))
#s(approx (* (/ (- (+ s s) (* x 1)) (* x s)) x) #s(hole binary32 2))
#s(approx (* (/ (- (+ s s) (* x 1)) (* x s)) x) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (+ s s) (* x 1)) (* x s)) #s(hole binary32 (/ 2 x)))
#s(approx (/ (- (+ s s) (* x 1)) (* x s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* 2 s)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (* x 1) #s(hole binary32 x))
#s(approx (* x s) #s(hole binary32 (* s x)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (/ x s))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (* (/ (- (+ s s) (* x 1)) (* x s)) x) #s(hole binary32 (* -1 (/ x s))))
#s(approx (* (/ (- (+ s s) (* x 1)) (* x s)) x) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ (- (+ s s) (* x 1)) (* x s)) #s(hole binary32 (/ -1 s)))
#s(approx (/ (- (+ s s) (* x 1)) (* x s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* -1 x)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (* (/ (- (+ s s) (* x 1)) (* x s)) x) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx (+ s s) #s(hole binary32 (* 2 s)))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (* (/ (- (+ s s) (* x 1)) (* x s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ (- (+ s s) (* x 1)) (* x s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (- (* 2 s) x)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) (pow s 2)))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))))) (+ (* -1/128 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))) (* 1/192 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))))) (pow s 3)))) (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (+ (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s)) (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/192 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (+ (* 1/128 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/4 (/ (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))))) s)))) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))) s)) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
Calls

6 calls:

TimeVariablePointExpression
24.0ms
s
@-inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (* (exp -1) (exp -1)) (exp -1) -1 (/ x (+ s s)) x (+ s s) s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/4 s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (* x 1) (* x s))
4.0ms
x
@-inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (* (exp -1) (exp -1)) (exp -1) -1 (/ x (+ s s)) x (+ s s) s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/4 s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (* x 1) (* x s))
3.0ms
x
@inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (* (exp -1) (exp -1)) (exp -1) -1 (/ x (+ s s)) x (+ s s) s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/4 s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (* x 1) (* x s))
3.0ms
s
@inf
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (* (exp -1) (exp -1)) (exp -1) -1 (/ x (+ s s)) x (+ s s) s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/4 s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (* x 1) (* x s))
3.0ms
s
@0
((/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (* (exp -1) (exp -1)) (exp -1) -1 (/ x (+ s s)) x (+ s s) s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/4 s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (/ (neg x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (* x 1) (* x s))

rewrite166.0ms (6.3%)

Memory
-1.9MiB live, 244.3MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04753289
05002651
126662483
083462415
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
143 → 274
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))))
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))
(*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x (+.f32 s s))
x
(+.f32 s s)
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#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))
(*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s)))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)))
#s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))
(*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)
(/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s))
(-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32)))
(*.f32 x #s(literal 1 binary32))
(*.f32 x s)
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* -1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/4 (/ (* (log (pow (exp -1) 2)) (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))) s)) (+ (* -1/128 (/ (pow (log (pow (exp -1) 2)) 3) (pow s 3))) (* 1/192 (/ (pow (log (pow (exp -1) 2)) 3) (pow s 3))))))) (+ (* -1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))) (* 1/32 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2)))))) (* 1/8 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 2))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 1))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* x (+ (* 1/8 (/ (* x (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (log (pow (exp -1) 2)) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (log (pow (exp -1) 2)) s)) (* x (+ (* 1/48 (/ (* x (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (* 1/8 (/ (pow (log (pow (exp -1) 2)) 2) (pow s 2))))))))))
#s(approx (/ x (+ s s)) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 2))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 2))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (/ 2 x) #s(hole binary32 (/ 2 x)))
#s(approx (* (/ (- (+ s s) (* x 1)) (* x s)) x) #s(hole binary32 2))
#s(approx (* (/ (- (+ s s) (* x 1)) (* x s)) x) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (+ s s) (* x 1)) (* x s)) #s(hole binary32 (/ 2 x)))
#s(approx (/ (- (+ s s) (* x 1)) (* x s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* 2 s)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (* x 1) #s(hole binary32 x))
#s(approx (* x s) #s(hole binary32 (* s x)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (/ 1 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 1 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (exp (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (/ x s))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (* (/ (- (+ s s) (* x 1)) (* x s)) x) #s(hole binary32 (* -1 (/ x s))))
#s(approx (* (/ (- (+ s s) (* x 1)) (* x s)) x) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ (- (+ s s) (* x 1)) (* x s)) #s(hole binary32 (/ -1 s)))
#s(approx (/ (- (+ s s) (* x 1)) (* x s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s))))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* -1 x)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (* (/ (- (+ s s) (* x 1)) (* x s)) x) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx (+ s s) #s(hole binary32 (* 2 s)))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (* (- (/ 2 x) (/ 1 s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (* (/ (- (+ s s) (* x 1)) (* x s)) x) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ (- (+ s s) (* x 1)) (* x s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s)))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (- (* 2 s) x)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) (pow s 2)))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))))) (+ (* -1/128 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))) (* 1/192 (* (pow x 3) (pow (log (pow (exp -1) 2)) 3))))) (pow s 3)))) (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (+ (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/8 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -1) 2))) s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s)) (* 1/32 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/192 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (+ (* 1/128 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/4 (/ (* x (* (log (pow (exp -1) 2)) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))))) s)))) (+ (* -1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))) (* 1/32 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2))))) s)) (* -1/8 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -1) 2)))) (* -1/8 (/ (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)) s))) s)))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -1) 2)) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (pow (exp -1) 2)) 2)))) s)) (* -1/2 (* x (log (pow (exp -1) 2))))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)))
(pow.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))))))))
(fma.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) (pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) (pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))))))) (/.f32 (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))))))))
(+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))))
(*.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))))
(*.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))))
(*.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))))
(*.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))) (neg.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s))))))
(*.f32 (pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) (pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))))
(*.f32 (pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))) (pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s))))
(*.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s)))))
(pow.f32 (*.f32 (exp.f32 #s(literal -2 binary32)) (exp.f32 #s(literal -2 binary32))) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (+.f32 s s)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (+.f32 (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32)) (/.f32 (/.f32 x (+.f32 s s)) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x (+.f32 s s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 x (+.f32 s s)) (/.f32 x (+.f32 s s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 s s))))
(+.f32 (cosh.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))) (sinh.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 s s))))
(*.f32 (fabs.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32)))) (fabs.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32)))))
(*.f32 (neg.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32)))) (neg.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32)))))
(*.f32 (neg.f32 (neg.f32 (exp.f32 #s(literal -1 binary32)))) (neg.f32 (neg.f32 (exp.f32 #s(literal -1 binary32)))))
(*.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (fabs.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (neg.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32)))
(-.f32 (cosh.f32 #s(literal 2 binary32)) (sinh.f32 #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -2 binary32)))
(pow.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32))
(fabs.f32 (exp.f32 #s(literal -2 binary32)))
(+.f32 (cosh.f32 #s(literal -2 binary32)) (sinh.f32 #s(literal -2 binary32)))
(exp.f32 #s(literal -2 binary32))
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 1 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 (+.f32 s s))))
(/.f32 (neg.f32 x) (neg.f32 (+.f32 s s)))
(/.f32 x (+.f32 s s))
x
(*.f32 #s(literal 2 binary32) s)
(*.f32 s #s(literal 2 binary32))
(/.f32 (neg.f32 (-.f32 (*.f32 s s) (*.f32 s s))) (neg.f32 (-.f32 s s)))
(/.f32 (neg.f32 (fma.f32 (*.f32 s s) s (*.f32 (*.f32 s s) s))) (neg.f32 (fma.f32 s s (-.f32 (*.f32 s s) (*.f32 s s)))))
(/.f32 (-.f32 (*.f32 s s) (*.f32 s s)) (-.f32 s s))
(/.f32 (fma.f32 (*.f32 s s) s (*.f32 (*.f32 s s) s)) (fma.f32 s s (-.f32 (*.f32 s s) (*.f32 s s))))
(+.f32 (/.f32 (*.f32 (*.f32 s s) s) (fma.f32 s s (-.f32 (*.f32 s s) (*.f32 s s)))) (/.f32 (*.f32 (*.f32 s s) s) (fma.f32 s s (-.f32 (*.f32 s s) (*.f32 s s)))))
(+.f32 s s)
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#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))
(*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)
(*.f32 x #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s))
(*.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)
#s(literal 1/4 binary32)
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s)))
#s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) s)
(neg.f32 (/.f32 x s))
(*.f32 x #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) x)
(neg.f32 x)
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (/ (- (+ s s) (* x 1)) (* x s)) (/.f32 #s(literal 2 binary32) x)) x)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (/ (- (+ s s) (* x 1)) (* x s)) (/.f32 #s(literal 2 binary32) x)) x))))))
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#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (+.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) x) (/.f32 #s(literal -8 binary32) (*.f32 (*.f32 s s) s))) #s(literal 1/48 binary32) (fma.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 4 binary32) (*.f32 s s))) #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) s) #s(literal 1/2 binary32))))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (+.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 4 binary32) (*.f32 s s))) #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) s) #s(literal 1/2 binary32))) #s(literal 1 binary32)))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) x) (/.f32 #s(literal -8 binary32) (*.f32 (*.f32 s s) s))) #s(literal 1/48 binary32) (fma.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 4 binary32) (*.f32 s s))) #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) s) #s(literal 1/2 binary32))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s))))
#s(approx (- (+ s s) (* x 1)) (*.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) s))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) s) #s(literal 0 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) x))) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s))))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s) #s(literal -1/192 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 0 binary32)) #s(literal -2 binary32)) x) (*.f32 #s(literal 1/128 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)))) s)) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 0 binary32))) s)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(literal -1/8 binary32))) s)) #s(literal 1/2 binary32)))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -2 binary32) x) (*.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) s) #s(literal -1/8 binary32))) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (pow (* (exp -1) (exp -1)) (/ x (+ s s)))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal -2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s) #s(literal 1/48 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 4 binary32))) s))) s))))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -2 binary32) x) (*.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) s) #s(literal -1/8 binary32))) s)) #s(literal 1 binary32)))
#s(approx (pow (* (exp -1) (exp -1)) (/ x (+ s s))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal -2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal -8 binary32)) s) #s(literal 1/48 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 4 binary32))) s))) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s))))
#s(approx (- (+ s s) (* x 1)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s)))

eval51.0ms (1.9%)

Memory
-3.9MiB live, 41.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 874 to 1 285 computations (55.3% saved)

prune12.0ms (0.5%)

Memory
22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Pruning

21 alts after pruning (9 fresh and 12 done)

PrunedKeptTotal
New2355240
Fresh145
Picked145
Done088
Total23721258
Accuracy
99.8%
Counts
258 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓38.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
38.3%
(/.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))))
33.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x)))))
✓18.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
27.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (+.f32 s s)) (*.f32 x s)) x))))
21.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (neg.f32 x)) (*.f32 x s)) x))))
✓38.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
18.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (/ (- (+ s s) (* x 1)) (* x s)) (/.f32 #s(literal -1 binary32) s)) x))))
16.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (+.f32 x x) (*.f32 x x))) x))))
✓34.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
21.3%
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
✓27.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓7.0%
#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))))
✓27.1%
#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)))
34.0%
#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)))
✓6.9%
#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)))
✓34.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 627 to 529 computations (15.6% saved)

regimes66.0ms (2.5%)

Memory
-6.2MiB live, 83.3MiB allocated; 9ms collecting garbage
Counts
27 → 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (/ (- (+ s s) (* x 1)) (* x s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (neg.f32 x)) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (+.f32 x x) (*.f32 x x))) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (+.f32 s s)) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 x (+.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
Calls

7 calls:

24.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
10.0ms
(neg.f32 x)
7.0ms
s
7.0ms
x
6.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.8%1(neg.f32 x)
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1x
99.8%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes115.0ms (4.4%)

Memory
-9.4MiB live, 69.9MiB allocated; 98ms collecting garbage
Counts
24 → 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (/ (- (+ s s) (* x 1)) (* x s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (neg.f32 x)) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (+.f32 x x) (*.f32 x x))) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (+.f32 s s)) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (fma.f32 #s(approx (+ (* (/ (* x x) (* (* s s) s)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (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)))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
Calls

7 calls:

80.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms
s
6.0ms
(neg.f32 x)
6.0ms
x
6.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.7%1(neg.f32 x)
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1x
99.7%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes51.0ms (1.9%)

Memory
-18.1MiB live, 72.2MiB allocated; 8ms 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (/ (- (+ s s) (* x 1)) (* x s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (neg.f32 x)) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (+.f32 x x) (*.f32 x x))) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (+.f32 s s)) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x)))))
Calls

7 calls:

22.0ms
x
8.0ms
(neg.f32 x)
5.0ms
s
4.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
50.9%2(neg.f32 x)
50.7%2(/.f32 (neg.f32 x) s)
50.7%2(exp.f32 (/.f32 (neg.f32 x) s))
50.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
50.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.9%2x
38.6%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes27.0ms (1%)

Memory
22.7MiB live, 67.0MiB allocated; 5ms collecting garbage
Counts
16 → 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (/ (- (+ s s) (* x 1)) (* x s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (neg.f32 x)) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (+.f32 x x) (*.f32 x x))) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (+.f32 s s)) (*.f32 x s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (neg.f32 x)) (*.f32 x s)) x))))
Calls

6 calls:

6.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms
(neg.f32 x)
4.0ms
x
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
48.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.7%2(/.f32 (neg.f32 x) s)
48.7%2(exp.f32 (/.f32 (neg.f32 x) s))
48.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
47.2%2x
47.2%2(neg.f32 x)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes16.0ms (0.6%)

Memory
-25.5MiB live, 29.1MiB allocated; 7ms collecting garbage
Counts
12 → 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (/ (- (+ s s) (* x 1)) (* x s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.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
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
Calls

4 calls:

7.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
47.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
47.3%2(/.f32 (neg.f32 x) s)
47.3%2(exp.f32 (/.f32 (neg.f32 x) s))
47.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes11.0ms (0.4%)

Memory
32.7MiB live, 32.7MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (/ (- (+ s s) (* x 1)) (* x s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
Calls

4 calls:

3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
47.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
47.3%2(/.f32 (neg.f32 x) s)
47.3%2(exp.f32 (/.f32 (neg.f32 x) s))
47.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes16.0ms (0.6%)

Memory
-4.3MiB live, 42.3MiB allocated; 2ms 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (/ (- (+ s s) (* x 1)) (* x s)) (/.f32 #s(literal -1 binary32) s)) x))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))))
Calls

6 calls:

3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
x
3.0ms
(neg.f32 x)
3.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
45.9%2x
45.9%2(neg.f32 x)
46.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
46.4%2(/.f32 (neg.f32 x) s)
46.4%2(exp.f32 (/.f32 (neg.f32 x) s))
46.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes9.0ms (0.4%)

Memory
-23.1MiB live, 23.0MiB allocated; 2ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (neg.f32 x) s))))
Calls

4 calls:

3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
46.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
46.0%2(/.f32 (neg.f32 x) s)
46.0%2(exp.f32 (/.f32 (neg.f32 x) s))
46.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes13.0ms (0.5%)

Memory
-9.0MiB live, 37.4MiB allocated; 3ms collecting garbage
Accuracy

Total -8.7b remaining (-41.1%)

Threshold costs -8.7b (-41.1%)

Counts
4 → 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))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Calls

7 calls:

4.0ms
s
2.0ms
(neg.f32 x)
2.0ms
x
2.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
34.0%1s
34.0%1x
34.0%1(neg.f32 x)
34.0%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.0%1(/.f32 (neg.f32 x) s)
34.0%1(exp.f32 (/.f32 (neg.f32 x) s))
34.0%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.957852581243547e-23
4.265668788407822e-23
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
11.04358959197998
229.01141357421875
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.3029589653015137
1.8310478925704956
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.3029589653015137
1.8310478925704956
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.37632155418396
11.04358959197998
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.37632155418396
11.04358959197998
Compiler

Compiled 12 to 14 computations (-16.7% saved)

derivations289.0ms (11%)

Memory
5.3MiB live, 284.5MiB allocated; 36ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 113 to 84 computations (25.7% saved)

preprocess93.0ms (3.5%)

Memory
32.8MiB live, 125.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 122 to 92 computations (24.6% saved)

end0.0ms (0%)

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

Profiling

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