Logistic function

Time bar (total: 4.1s)

start0.0ms (0%)

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

analyze63.0ms (1.5%)

Memory
-10.5MiB live, 80.5MiB allocated; 39ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample849.0ms (20.5%)

Memory
29.4MiB live, 1 192.1MiB allocated; 227ms collecting garbage
Samples
579.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 397.0ms
ival-div: 129.0ms (32.5% of total)
ival-neg: 111.0ms (28% of total)
ival-exp: 95.0ms (23.9% of total)
ival-add: 42.0ms (10.6% of total)
const: 7.0ms (1.8% of total)
exact: 6.0ms (1.5% of total)
ival-assert: 3.0ms (0.8% of total)
adjust: 2.0ms (0.5% of total)
ival-<=: 1.0ms (0.3% of total)
ival-and: 0.0ms (0% of total)
Bogosity

explain123.0ms (3%)

Memory
-16.1MiB live, 175.7MiB allocated; 13ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
05(-1.12209409053321e-5 5.246914369649858e-8)0-(exp.f32 (/.f32 (neg.f32 x) s))
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
00-0-(neg.f32 x)
00-0-(/.f32 (neg.f32 x) s)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 x) s))sensitivity51
Confusion
Predicted +Predicted -
+00
-5251
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-51250
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
41.0ms512×0valid
Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 9.0ms (36.1% of total)
ival-add: 6.0ms (24.1% of total)
ival-exp: 5.0ms (20% of total)
ival-neg: 3.0ms (12% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess188.0ms (4.5%)

Memory
-3.0MiB live, 183.0MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02450
15950
211850
333550
4161950
089
0139
1219
2439
31189
44279
547139
085159
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
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 9 to 8 computations (11.1% saved)

series10.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Counts
8 → 31
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Calls

6 calls:

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

rewrite221.0ms (5.3%)

Memory
11.1MiB live, 203.6MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181784
0188698
11084691
08359664
Stop Event
iter limit
node limit
iter limit
Counts
39 → 79
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) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.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 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.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 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (*.f32 #s(literal 2 binary32) (neg.f32 x)) (*.f32 #s(literal 2 binary32) s))
(/.f32 (*.f32 x #s(literal 1 binary32)) (neg.f32 s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(neg.f32 (*.f32 (/.f32 x s) #s(literal 1 binary32)))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)))
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 (*.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) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.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))) (fma.f32 #s(literal -1 binary32) (/.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 (pow.f32 s #s(literal 3 binary32))) #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 (pow.f32 s #s(literal 3 binary32))) #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 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #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 (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))))
#s(approx (exp (/ (neg x) s)) (-.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #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 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))

eval11.0ms (0.3%)

Memory
-24.9MiB live, 19.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 453 to 357 computations (75.4% saved)

prune10.0ms (0.2%)

Memory
23.2MiB live, 23.2MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New681280
Fresh000
Picked011
Done000
Total681381
Accuracy
99.9%
Counts
81 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
60.6%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
29.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
56.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
58.0%
(/.f32 #s(literal 1 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))))
43.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
99.2%
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
99.8%
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
11.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
18.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
30.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
34.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 533 to 360 computations (32.5% saved)

series110.0ms (2.7%)

Memory
11.1MiB live, 197.2MiB allocated; 22ms collecting garbage
Counts
30 → 133
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 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 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(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))
(-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))
(/.f32 x (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
(/.f32 #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 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(expm1.f32 (/.f32 (neg.f32 x) s))
Outputs
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (+ 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 (exp (* (log (+ 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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 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 (+ (* -1 (/ x s)) 2) #s(hole binary32 2))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (* (/ x (* s s)) 1/2) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (pow s 2))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (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) 2)) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 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 (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (exp (* (log (+ 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 (exp (* (log (+ 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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)))
#s(approx (exp (* (log (+ 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 (exp (* (log (+ 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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))))
Calls

6 calls:

TimeVariablePointExpression
36.0ms
x
@inf
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))
33.0ms
x
@-inf
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))
21.0ms
s
@0
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))
6.0ms
x
@0
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))
6.0ms
s
@inf
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))

rewrite189.0ms (4.6%)

Memory
-15.4MiB live, 266.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06964284
07323816
143993812
083283668
Stop Event
iter limit
node limit
iter limit
Counts
163 → 268
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 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 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(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))
(-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))
(/.f32 x (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
(/.f32 #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 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(expm1.f32 (/.f32 (neg.f32 x) s))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (+ 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 (exp (* (log (+ 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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 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 (+ (* -1 (/ x s)) 2) #s(hole binary32 2))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (* (/ x (* s s)) 1/2) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (pow s 2))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (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) 2)) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 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 (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (exp (* (log (+ 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 (exp (* (log (+ 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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)))
#s(approx (exp (* (log (+ 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 (exp (* (log (+ 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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 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 -2 binary32)) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.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)))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
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#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s))
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 s s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))) (neg.f32 x)) s))
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (fma.f32 #s(literal -1 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 s s)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 s #s(literal 3 binary32))) #s(literal 1/24 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))))) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s)) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/12 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) x) (*.f32 x x)) #s(literal 2/3 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) x)))) s))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 4/3 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2/3 binary32)) (fma.f32 #s(literal 1/12 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 2 binary32) x) x) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))))))) s))) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) x)) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -4/3 binary32) (*.f32 (*.f32 x x) #s(literal 2 binary32))) s))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal -2/3 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4/3 binary32))) s))) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal -1/24 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) s))) s) #s(literal -1 binary32) x) s)))

eval31.0ms (0.8%)

Memory
12.7MiB live, 68.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 8 019 to 1 441 computations (82% saved)

prune20.0ms (0.5%)

Memory
4.4MiB live, 50.2MiB allocated; 3ms collecting garbage
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New29621317
Fresh617
Picked415
Done011
Total30624330
Accuracy
99.9%
Counts
330 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.5%
(/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
99.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
60.2%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s) #s(literal 2 binary32))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
43.8%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
41.1%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
56.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
58.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
59.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
43.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
56.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
43.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
55.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
35.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
36.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
43.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
22.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
60.6%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
18.4%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
30.7%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
60.7%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
29.6%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
23.2%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))))
34.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 354 to 944 computations (30.3% saved)

series71.0ms (1.7%)

Memory
-21.1MiB live, 128.4MiB allocated; 20ms collecting garbage
Counts
37 → 137
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 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 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
#s(literal -1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s))
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)
(-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 x s) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #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) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32)))
(*.f32 x x)
(pow.f32 s #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal -1/48 binary32)
(/.f32 #s(literal 1/4 binary32) s)
Outputs
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 1/2))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 2))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #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) 2)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1/2 (/ x s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#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 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 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 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 1/2))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* -1/4 (/ x s)))))
#s(approx (* -1/2 (/ x s)) #s(hole binary32 (* -1/2 (/ 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ -1 s)))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 -1))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (- (* 1/2 (/ x s)) 1)))
#s(approx (* (/ x s) 1/2) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (/ (* x x) (pow s 3)) #s(hole binary32 (/ (pow x 2) (pow s 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 1 (pow (exp (* -1/2 (/ x s))) 2))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (exp (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (* -1/4 (/ x s))))
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (* x (- (* 1/2 (/ 1 x)) (* 1/4 (/ 1 s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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) (pow s 3)) -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) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (* -1 (* x (- (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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) (pow s 3)) -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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (/ (- (* -1/4 x) (* -1/2 x)) s)))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (/ (- (+ (* -1/4 x) (* 1/2 s)) (* -1/2 x)) s)))
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* -1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) s)))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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) (pow s 3)) -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) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (pow s 3) #s(hole binary32 (pow s 3)))
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s))))
Calls

6 calls:

TimeVariablePointExpression
26.0ms
x
@-inf
((/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (+ (* -1/4 (/ x s)) 1/2) -1/4 (* -1/2 (/ x s)) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ (* x x) (pow s 3)) (* x x) (pow s 3) 3 -1/48 (/ 1/4 s))
19.0ms
s
@-inf
((/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (+ (* -1/4 (/ x s)) 1/2) -1/4 (* -1/2 (/ x s)) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ (* x x) (pow s 3)) (* x x) (pow s 3) 3 -1/48 (/ 1/4 s))
6.0ms
x
@0
((/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (+ (* -1/4 (/ x s)) 1/2) -1/4 (* -1/2 (/ x s)) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ (* x x) (pow s 3)) (* x x) (pow s 3) 3 -1/48 (/ 1/4 s))
6.0ms
x
@inf
((/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (+ (* -1/4 (/ x s)) 1/2) -1/4 (* -1/2 (/ x s)) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ (* x x) (pow s 3)) (* x x) (pow s 3) 3 -1/48 (/ 1/4 s))
5.0ms
s
@0
((/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (+ (* -1/4 (/ x s)) 1/2) -1/4 (* -1/2 (/ x s)) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ (* x x) (pow s 3)) (* x x) (pow s 3) 3 -1/48 (/ 1/4 s))

rewrite207.0ms (5%)

Memory
21.7MiB live, 210.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05894311
06303773
135303719
081673567
Stop Event
iter limit
node limit
iter limit
Counts
174 → 318
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 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 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
#s(literal -1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s))
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)
(-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 x s) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #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) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32)))
(*.f32 x x)
(pow.f32 s #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal -1/48 binary32)
(/.f32 #s(literal 1/4 binary32) s)
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 1/2))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 2))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #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) 2)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1/2 (/ x s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#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 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 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 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 1/2))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* -1/4 (/ x s)))))
#s(approx (* -1/2 (/ x s)) #s(hole binary32 (* -1/2 (/ 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ -1 s)))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 -1))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (- (* 1/2 (/ x s)) 1)))
#s(approx (* (/ x s) 1/2) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
#s(approx (/ (* x x) (pow s 3)) #s(hole binary32 (/ (pow x 2) (pow s 3))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 1 (pow (exp (* -1/2 (/ x s))) 2))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (exp (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (* -1/4 (/ x s))))
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (* x (- (* 1/2 (/ 1 x)) (* 1/4 (/ 1 s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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) (pow s 3)) -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) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3)))))
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))))
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (* -1 (* x (- (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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) (pow s 3)) -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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (/ (- (* -1/4 x) (* -1/2 x)) s)))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (/ (- (+ (* -1/4 x) (* 1/2 s)) (* -1/2 x)) s)))
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* -1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) s)))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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) (pow s 3)) -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) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))))
#s(approx (pow s 3) #s(hole binary32 (pow s 3)))
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s)))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s)))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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) (pow s 3)) -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 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(pow.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 1 binary32)) (expm1.f32 (*.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(fma.f32 (neg.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(*.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))))
(*.f32 (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.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)) #s(literal 2 binary32))))
(sqrt.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(fabs.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(+.f32 (cosh.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (sinh.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 #s(literal 1 binary32) (exp.f32 #s(literal 1 binary32)))
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.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 (/.f32 (neg.f32 x) s) #s(literal -2 binary32))
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x (*.f32 #s(literal 2 binary32) s))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
x
s
#s(literal 2 binary32)
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) s (*.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) x))) (*.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal 1/2 binary32)) s))
(/.f32 (fma.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal 2 binary32))) s (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) x))) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) s))
(/.f32 (fma.f32 (fma.f32 #s(literal -1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) s (*.f32 (+.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal 1/2 binary32)))) (*.f32 #s(literal 1/2 binary32) x))) (*.f32 (+.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal 1/2 binary32)))) s))
(/.f32 (fma.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal -1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) s (*.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))) (*.f32 #s(literal 1/2 binary32) x))) (*.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))) s))
(/.f32 (-.f32 (pow.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 2 binary32))) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32))) (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (pow.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (*.f32 #s(literal -1/8 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (+.f32 (pow.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))))
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#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) (*.f32 s s)) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (-.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) #s(literal 1/4 binary32)))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal 1/2 binary32)) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 #s(literal -1/8 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal -1/24 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/12 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32)))) (/.f32 (*.f32 (neg.f32 x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s))) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (neg.f32 x) (*.f32 #s(literal 1/4 binary32) x)))) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 x x)) (pow.f32 s #s(literal 3 binary32))) #s(literal 2/3 binary32) (/.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) (*.f32 s s))))))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) (*.f32 s s)) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal 1/2 binary32)) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 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 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (+.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 (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/2 binary32)))
#s(approx (+ (* (/ (* x x) (pow s 3)) -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))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) s) #s(literal 1/4 binary32) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/16 binary32)))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) s))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/8 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s))) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/12 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (fma.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) x) (*.f32 x x)) #s(literal 2/3 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) x)))) s))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (neg.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) s)))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) (neg.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) s)))
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 s s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (neg.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x x)) (*.f32 s s)) #s(literal 1/4 binary32)) s)))

eval48.0ms (1.2%)

Memory
8.8MiB live, 55.3MiB allocated; 2ms collecting garbage
Compiler

Compiled 13 269 to 1 448 computations (89.1% saved)

prune34.0ms (0.8%)

Memory
-7.3MiB live, 38.7MiB allocated; 3ms collecting garbage
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New35817375
Fresh71017
Picked325
Done022
Total36831399
Accuracy
100.0%
Counts
399 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.5%
(/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
99.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.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)))
99.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.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)))
43.8%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
41.1%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
56.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
58.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
59.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
59.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) s)) x #s(literal 2 binary32))))
56.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32))))
43.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
43.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
35.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
36.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
35.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
43.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
22.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
24.0%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -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)))
30.7%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
60.7%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
29.6%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
23.2%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
30.7%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
30.7%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s)))
7.2%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
30.6%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
17.2%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32)))))
28.1%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/2 binary32))))
34.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 2 026 to 1 391 computations (31.3% saved)

series93.0ms (2.2%)

Memory
-10.1MiB live, 137.3MiB allocated; 7ms collecting garbage
Counts
52 → 180
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.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)))
#s(literal 1 binary32)
(fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.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))
(pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(cosh.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(sinh.f32 #s(literal 1 binary32))
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
s
#s(literal 2 binary32)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.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 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.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))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s))
(/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)
#s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s)))
(fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32))
#s(literal -1/4 binary32)
(/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 #s(literal 1/12 binary32) (*.f32 x x))
#s(literal 1/12 binary32)
(*.f32 x x)
(*.f32 s s)
(fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s))
(*.f32 (*.f32 #s(literal 1/4 binary32) x) x)
(*.f32 #s(literal 1/4 binary32) x)
(fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
#s(literal 1/3 binary32)
(/.f32 (*.f32 x x) (*.f32 s s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
Outputs
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 1/2))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1/4 (* x (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))))))))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))))) (* 1/4 (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s)))))))))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (+ (* -1/8 (pow (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))) (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))))) (+ (* -1/8 (* (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))) (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))))) (* 1/4 (- (+ (* -1/16 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 3))) (+ (* 1/48 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3) (pow s 3))) (* 1/16 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 3))))) (* 1/48 (/ 1 (pow s 3))))))))) (+ (* -1/8 (pow (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))))) (* 1/4 (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s)))))))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 2))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (+ (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* x (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (+ (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* x (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (+ (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))) (* x (- (+ (* -1/16 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 3))) (+ (* 1/48 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3) (pow s 3))) (* 1/16 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 3))))) (* 1/48 (/ 1 (pow s 3)))))))))) (* 1/2 (/ 1 s)))))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 1))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s)))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/8 (/ (* x (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 2))) (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)))))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* x (+ (* 1/48 (/ (* x (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3)) (pow s 3))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 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 (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1/2 (/ x s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 1/2))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #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 (+ 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ -1 s)))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 -1))
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (- (* 1/2 (/ x s)) 1)))
#s(approx (* (/ x s) 1/2) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 1/2))
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 1/2))
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (+ 1/2 (* -1/4 (/ x s)))))
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (+ 1/2 (* x (- (* 1/12 (/ x (pow s 2))) (* 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 (/ (* 1/12 (* x x)) (* s s)) #s(hole binary32 (* 1/12 (/ (pow x 2) (pow s 2)))))
#s(approx (* 1/12 (* x x)) #s(hole binary32 (* 1/12 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (* -1/2 (/ x s))))
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (* x (- (* 1/12 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))
#s(approx (/ (* (* 1/4 x) x) (* s s)) #s(hole binary32 (* 1/4 (/ (pow x 2) (pow s 2)))))
#s(approx (* (* 1/4 x) x) #s(hole binary32 (* 1/4 (pow x 2))))
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 x)))
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (* -1/2 (/ x s))))
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (* x (- (* 1/3 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))
#s(approx (/ (* x x) (* s s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (* (/ x s) -1/2) #s(hole binary32 (* -1/2 (/ x s))))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ 1 (+ 1 (* (exp (* -1/2 (/ x s))) (exp (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 1 (* (exp (* -1/2 (/ x s))) (exp (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s)))))))
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#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (exp (* -1/2 (/ x s)))))
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#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)))
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#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
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#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
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#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
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#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (* 1/12 (/ (pow x 2) (pow s 2)))))
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#s(approx (+ (* (/ x s) -1/4) 1/2) #s(hole binary32 (* -1/4 (/ x s))))
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#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)))
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#s(approx (* s s) #s(hole binary32 (pow s 2)))
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#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1/2 (/ x s)) (+ (* -1/4 (/ (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) (pow s 2))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 2))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s)))))))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1/2 (/ x s)) (+ (* -1/4 (/ (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) (pow s 2))) (+ (* -1/16 (/ (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 3))) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/48 (/ (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3)) (pow s 3))) (+ (* 1/16 (/ (* (pow x 3) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 2))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s)))))))))))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* 1/8 (/ (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 2))) (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* 1/48 (/ (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 2))) (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s)))))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))))
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#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
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#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))))))))
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#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
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#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1/2 (/ x s)) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2)))))))
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#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) s)))))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) 2) s)) (* 1/4 (/ (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))) s))) (* 1/4 (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)))) s)))))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) (+ (* -1/8 (pow (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) 2)) (* 1/4 (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2))))))) s)) (+ (* -1/8 (/ (* (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2))))) s)) (* 1/4 (/ (+ (* -1/16 (* (pow x 3) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* -1/48 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3))) (+ (* 1/48 (pow x 3)) (* 1/16 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)))))) s)))) (+ (* -1/8 (pow (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) 2)) (* 1/4 (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2))))))) s)) (* 1/4 (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)))) s)))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) s)))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))) s)) (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x))) s)))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* -1/48 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3))) (+ (* 1/48 (pow x 3)) (* 1/16 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)))))) s)) (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2))))) s)) (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x))) s)))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* -1/8 (/ (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) s))) s)))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)))) s)) (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2)))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/12 (/ (pow x 2) s)) (* 1/4 x)) s)))))
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2))) s)) (* 1/2 x)) s))))
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (* -1 (/ (+ (* -1/3 (/ (pow x 2) s)) (* 1/2 x)) s))))
Calls

6 calls:

TimeVariablePointExpression
26.0ms
s
@0
((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (/ x s) 1/4) 1/4 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (+ (/ 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))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ x s) -1/4) 1/2) -1/4 (/ (* 1/12 (* x x)) (* s s)) (* 1/12 (* x x)) 1/12 (* x x) (* s s) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) (/ (* (* 1/4 x) x) (* s s)) (* (* 1/4 x) x) (* 1/4 x) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) 1/3 (/ (* x x) (* s s)) (* (/ x s) -1/2) -1/2)
19.0ms
x
@0
((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (/ x s) 1/4) 1/4 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (+ (/ 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))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ x s) -1/4) 1/2) -1/4 (/ (* 1/12 (* x x)) (* s s)) (* 1/12 (* x x)) 1/12 (* x x) (* s s) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) (/ (* (* 1/4 x) x) (* s s)) (* (* 1/4 x) x) (* 1/4 x) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) 1/3 (/ (* x x) (* s s)) (* (/ x s) -1/2) -1/2)
16.0ms
s
@-inf
((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (/ x s) 1/4) 1/4 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (+ (/ 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))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ x s) -1/4) 1/2) -1/4 (/ (* 1/12 (* x x)) (* s s)) (* 1/12 (* x x)) 1/12 (* x x) (* s s) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) (/ (* (* 1/4 x) x) (* s s)) (* (* 1/4 x) x) (* 1/4 x) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) 1/3 (/ (* x x) (* s s)) (* (/ x s) -1/2) -1/2)
8.0ms
x
@inf
((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (/ x s) 1/4) 1/4 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (+ (/ 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))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ x s) -1/4) 1/2) -1/4 (/ (* 1/12 (* x x)) (* s s)) (* 1/12 (* x x)) 1/12 (* x x) (* s s) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) (/ (* (* 1/4 x) x) (* s s)) (* (* 1/4 x) x) (* 1/4 x) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) 1/3 (/ (* x x) (* s s)) (* (/ x s) -1/2) -1/2)
8.0ms
x
@-inf
((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (/ x s) 1/4) 1/4 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (+ (/ 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))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ x s) -1/4) 1/2) -1/4 (/ (* 1/12 (* x x)) (* s s)) (* 1/12 (* x x)) 1/12 (* x x) (* s s) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) (/ (* (* 1/4 x) x) (* s s)) (* (* 1/4 x) x) (* 1/4 x) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) 1/3 (/ (* x x) (* s s)) (* (/ x s) -1/2) -1/2)

rewrite220.0ms (5.3%)

Memory
11.0MiB live, 288.9MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09089100
09687571
158127213
080286913
Stop Event
iter limit
node limit
iter limit
Counts
232 → 430
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.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)))
#s(literal 1 binary32)
(fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.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))
(pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(cosh.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(sinh.f32 #s(literal 1 binary32))
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
s
#s(literal 2 binary32)
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#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* 1/8 (/ (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 2))) (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))))
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#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))))
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#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
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#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
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#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))))))))
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#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
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#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2)))))))
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#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) s)))))
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#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) s)))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))) s)) (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x))) s)))))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* -1/48 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3))) (+ (* 1/48 (pow x 3)) (* 1/16 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)))))) s)) (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2))))) s)) (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x))) s)))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* -1/8 (/ (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) s))) s)))))
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)))) s)) (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2)))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/12 (/ (pow x 2) s)) (* 1/4 x)) s)))))
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2))) s)) (* 1/2 x)) s))))
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (* -1 (/ (+ (* -1/3 (/ (pow x 2) s)) (* 1/2 x)) s))))
Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(pow.f32 (+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.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)) #s(literal 2 binary32))))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))
(pow.f32 (E.f32) (*.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 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (sinh.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(+.f32 (cosh.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (sinh.f32 (*.f32 (log.f32 (exp.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))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 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)) (fma.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) (neg.f32 (E.f32)))
(/.f32 #s(literal 1 binary32) (E.f32))
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(pow.f32 (E.f32) #s(literal -1 binary32))
(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 (*.f32 (log.f32 (E.f32)) #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
(sqrt.f32 (/.f32 (+.f32 (cosh.f32 #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) #s(literal 2 binary32))
(cosh.f32 #s(literal -1 binary32))
(cosh.f32 #s(literal 1 binary32))
#s(literal -1 binary32)
(/.f32 (sinh.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 #s(literal 2 binary32) (+.f32 (cosh.f32 #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))) #s(literal 2 binary32))
(neg.f32 (sinh.f32 #s(literal -1 binary32)))
(sinh.f32 #s(literal 1 binary32))
(/.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32))
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x (*.f32 #s(literal 2 binary32) s))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
x
s
#s(literal 2 binary32)
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.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)) #s(literal 2 binary32))))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))
(pow.f32 (E.f32) (*.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 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (sinh.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(+.f32 (cosh.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (sinh.f32 (*.f32 (log.f32 (exp.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))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 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)) (fma.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) (neg.f32 (E.f32)))
(/.f32 #s(literal 1 binary32) (E.f32))
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(pow.f32 (E.f32) #s(literal -1 binary32))
(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 (*.f32 (log.f32 (E.f32)) #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal 1/4 binary32) x)) (neg.f32 s))
(/.f32 (*.f32 #s(literal 1/4 binary32) x) s)
(-.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
#s(literal 1/4 binary32)
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.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 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)))
(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 (/.f32 #s(literal 1/4 binary32) s) x) (*.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(+.f32 (*.f32 x (/.f32 #s(literal 1/4 binary32) s)) (*.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/8 binary32) (pow.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)))))
(/.f32 (fma.f32 (pow.f32 s #s(literal -3 binary32)) #s(literal 1/64 binary32) (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x))
(-.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) s))
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s) (/.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))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))
(*.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) 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) s)
(/.f32 #s(literal -1/4 binary32) (neg.f32 s))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) x #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) s)) x #s(literal 2 binary32))))
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#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) x)) s))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 x x))) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) (*.f32 x x)))) s) #s(literal 1/4 binary32) (*.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) s) #s(literal -1/8 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) #s(literal 1/4 binary32))) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) (/.f32 (fma.f32 (pow.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal -1/8 binary32) (*.f32 (fma.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 x x))) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) (*.f32 x x)))) #s(literal 1/4 binary32))) s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 3 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (fma.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/16 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))))) s) #s(literal 1/4 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) (/.f32 (fma.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 x x))) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) (*.f32 x x)))) s)) #s(literal -1/8 binary32)))) (fma.f32 (pow.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal -1/8 binary32) (*.f32 (fma.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 x x))) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) (*.f32 x x)))) #s(literal 1/4 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)))) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 x x))) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) (*.f32 x x)))) s) #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x))) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 3 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (fma.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/16 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))))) s) #s(literal -1 binary32) (fma.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 x x))) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) (*.f32 x x))))) s) #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x))) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) s) #s(literal -1/8 binary32) (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 #s(literal -1/2 binary32) x)))) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 3 binary32)) s) #s(literal 1/48 binary32) (*.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) #s(literal 1/8 binary32))) s))) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/8 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) s))) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/12 binary32) x) x (neg.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (fma.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) x) (*.f32 x x)) #s(literal 2/3 binary32) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) x)))) s))) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)))
#s(approx (/ (- (* (/ x s) 1/2) 1) s) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)))
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/12 binary32)))) s)))
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 1/2 binary32) x)) s)))

eval682.0ms (16.4%)

Memory
-272.7MiB live, 131.8MiB allocated; 1.2s collecting garbage
Compiler

Compiled 29 128 to 2 369 computations (91.9% saved)

prune40.0ms (1%)

Memory
-13.1MiB live, 86.3MiB allocated; 5ms collecting garbage
Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New5157522
Fresh51722
Picked325
Done044
Total52330553
Accuracy
100.0%
Counts
553 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.5%
(/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
99.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(approx (pow (exp -1) (/ (/ x s) 2)) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 1 binary32)))
99.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.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)))
43.8%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
41.1%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
58.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
59.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
56.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32))))
43.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
43.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
36.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
43.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
22.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
24.0%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -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)))
30.7%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
60.7%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
29.6%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
13.1%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s))))
30.7%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
30.7%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s)))
21.9%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x)))
30.6%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
30.4%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
34.0%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
7.2%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
17.2%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32)))))
28.1%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/2 binary32))))
34.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 3 024 to 1 132 computations (62.6% saved)

regimes97.0ms (2.4%)

Memory
16.7MiB live, 207.3MiB allocated; 7ms collecting garbage
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -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) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.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) (pow.f32 s #s(literal 3 binary32))) #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) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.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 (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) (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 #s(literal 1 binary32) (/.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s) #s(literal 2 binary32))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(approx (pow (exp -1) (/ (/ x s) 2)) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))))
Outputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
Calls

7 calls:

16.0ms
(neg.f32 x)
15.0ms
x
14.0ms
s
13.0ms
(/.f32 (neg.f32 x) s)
12.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
99.8%1(neg.f32 x)
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1x
99.8%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes123.0ms (3%)

Memory
-8.9MiB live, 217.0MiB allocated; 53ms collecting garbage
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -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) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.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) (pow.f32 s #s(literal 3 binary32))) #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) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -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 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
Calls

7 calls:

37.0ms
(/.f32 (neg.f32 x) s)
18.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
15.0ms
s
12.0ms
(neg.f32 x)
12.0ms
x
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)

regimes102.0ms (2.5%)

Memory
7.4MiB live, 152.0MiB allocated; 49ms collecting garbage
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -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) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.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) (pow.f32 s #s(literal 3 binary32))) #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) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #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 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

43.0ms
(neg.f32 x)
11.0ms
s
10.0ms
x
10.0ms
(/.f32 (neg.f32 x) s)
9.0ms
(exp.f32 (/.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)

regimes66.0ms (1.6%)

Memory
-5.4MiB live, 91.0MiB allocated; 6ms collecting garbage
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -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) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #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))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
Calls

7 calls:

12.0ms
x
11.0ms
(neg.f32 x)
10.0ms
s
9.0ms
(/.f32 (neg.f32 x) s)
7.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
65.9%2(neg.f32 x)
65.9%2(/.f32 (neg.f32 x) s)
65.9%2(exp.f32 (/.f32 (neg.f32 x) s))
65.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.9%2x
59.5%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes40.0ms (1%)

Memory
-3.5MiB live, 43.4MiB allocated; 2ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
Calls

6 calls:

6.0ms
(neg.f32 x)
6.0ms
x
6.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
66.5%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
66.5%3(/.f32 (neg.f32 x) s)
66.5%3(exp.f32 (/.f32 (neg.f32 x) s))
66.5%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
61.1%2x
61.1%2(neg.f32 x)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes35.0ms (0.8%)

Memory
38.2MiB live, 38.2MiB allocated; 0ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
Calls

7 calls:

5.0ms
(neg.f32 x)
5.0ms
x
5.0ms
s
5.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
50.6%2x
50.6%2(neg.f32 x)
43.9%1s
51.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
51.3%2(/.f32 (neg.f32 x) s)
51.3%2(exp.f32 (/.f32 (neg.f32 x) s))
51.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes24.0ms (0.6%)

Memory
-28.5MiB live, 20.1MiB allocated; 2ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
Calls

6 calls:

10.0ms
(/.f32 (neg.f32 x) s)
3.0ms
x
3.0ms
(neg.f32 x)
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
49.0%2x
49.0%2(neg.f32 x)
52.6%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
52.6%3(/.f32 (neg.f32 x) s)
52.6%3(exp.f32 (/.f32 (neg.f32 x) s))
52.6%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes18.0ms (0.4%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Accuracy

Total -8.6b remaining (-40.9%)

Threshold costs -8.6b (-40.9%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Calls

7 calls:

3.0ms
x
3.0ms
(neg.f32 x)
3.0ms
s
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
34.1%1s
34.1%1x
34.1%1(neg.f32 x)
34.1%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.1%1(/.f32 (neg.f32 x) s)
34.1%1(exp.f32 (/.f32 (neg.f32 x) s))
34.1%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2291823516590886e-31
1.778883124263213e-30
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
59.09368896484375
500.6365966796875
0.0ms
1.0000001192092896
1.0098538398742676
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0314247608184814
1.5201241970062256
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0652356147766113
59.09368896484375
0.0ms
1.0000001192092896
1.0098538398742676
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify63.0ms (1.5%)

Memory
-9.5MiB live, 84.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
092326
1147326
2361321
31601305
47754305
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (neg.f32 x) #s(literal 8507059/42535295865117307932921825928971026432 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 8430551/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 8430551/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Outputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (neg.f32 x) #s(literal 8507059/42535295865117307932921825928971026432 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))))
(if (<=.f32 (neg.f32 x) #s(literal 8507059/42535295865117307932921825928971026432 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 8430551/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 8430551/8388608 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(literal 1/2 binary32)) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 8430551/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 8430551/8388608 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(literal 1/2 binary32)) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(literal 1/2 binary32))

derivations317.0ms (7.6%)

Memory
16.1MiB live, 250.8MiB allocated; 10ms collecting garbage
Stop Event
fuel
Compiler

Compiled 377 to 96 computations (74.5% saved)

preprocess38.0ms (0.9%)

Memory
-28.1MiB live, 64.3MiB allocated; 13ms collecting garbage
Compiler

Compiled 772 to 208 computations (73.1% saved)

end0.0ms (0%)

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

Profiling

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