Logistic function

Time bar (total: 3.6s)

start0.0ms (0%)

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

analyze112.0ms (3.1%)

Memory
-26.1MiB live, 65.3MiB allocated; 17ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample881.0ms (24.3%)

Memory
14.6MiB live, 1 058.0MiB allocated; 274ms collecting garbage
Samples
584.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 403.0ms
ival-div: 219.0ms (54.4% of total)
ival-exp: 70.0ms (17.4% of total)
ival-neg: 54.0ms (13.4% of total)
ival-add: 43.0ms (10.7% of total)
exact: 7.0ms (1.7% of total)
const: 4.0ms (1% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 2.0ms (0.5% of total)
ival-<=: 1.0ms (0.2% of total)
ival-and: 0.0ms (0% of total)
Bogosity

explain101.0ms (2.8%)

Memory
46.0MiB live, 138.3MiB allocated; 11ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
31(2.4959932785304255e-16 1.4010516381724103e-18)3(0.0021536415442824364 2.804699215630535e-5)(exp.f32 (/.f32 (neg.f32 x) s))
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (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))sensitivity14
Confusion
Predicted +Predicted -
+01
-1254
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-13251
Precision?
0.2
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
40.0ms512×0valid
Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (41.1% of total)
ival-exp: 4.0ms (23.5% of total)
ival-neg: 3.0ms (17.6% of total)
ival-add: 2.0ms (11.7% 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)

preprocess212.0ms (5.8%)

Memory
-44.5MiB live, 256.5MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02450
15950
211850
333550
4161950
089
0139
1219
2439
31189
44279
547139
085159
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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 2 binary32) (fma.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32))) #s(literal 2 binary32)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

series10.0ms (0.3%)

Memory
23.1MiB live, 23.1MiB 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
@-inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s)

rewrite160.0ms (4.4%)

Memory
13.6MiB live, 243.2MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval9.0ms (0.3%)

Memory
-28.2MiB live, 17.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 686 to 371 computations (78% saved)

prune23.0ms (0.6%)

Memory
-1.7MiB live, 45.5MiB allocated; 1ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New77380
Fresh000
Picked101
Done000
Total78381
Accuracy
99.9%
Counts
81 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
▶64.2%
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
▶99.8%
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) #s(literal -1 binary32)))
Compiler

Compiled 61 to 30 computations (50.8% saved)

series120.0ms (3.3%)

Memory
-6.7MiB live, 137.8MiB allocated; 18ms collecting garbage
Counts
20 → 118
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) #s(literal -1 binary32)))
(*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) #s(literal -1 binary32))
(log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x s)
x
s
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32))
(/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))
(expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s))))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))
#s(literal -1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32))
Outputs
#s(approx (exp (* (log (+ 1 (pow (exp -1) (/ x s)))) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (+ 1 (pow (exp -1) (/ x s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)))) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (+ 1 (pow (exp -1) (/ x s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (+ 1 (pow (exp -1) (/ x s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 1/2))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt 1/2)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) (* -1 (/ x s))) #s(hole binary32 (* -2 (/ x s))))
#s(approx (* -1 (/ x s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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 (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -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)) -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)) -1) #s(hole binary32 2))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (pow (exp -1) (/ 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 (* (log (+ 1 (pow (exp -1) (/ x s)))) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (+ 1 (pow (exp -1) (/ x s)))) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (neg (* 2 (/ x s)))) 1))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (neg (* 2 (/ x s)))) 1)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (neg (* 2 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (- (exp (neg (* 2 (/ x s)))) 1)))
#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx s #s(hole binary32 s))
#s(approx (exp (* (log (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #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 (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/2 (/ (- (* -1/4 x) (* -1/2 x)) (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1/4 x) (* -1/2 x)) (* s (sqrt 1/2)))) (* 1/2 (/ (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (+ (* 1/4 (/ (pow (- (* -1/4 x) (* -1/2 x)) 2) (pow (sqrt 1/2) 2))) (* 1/3 (pow x 2))))) (* (pow s 2) (sqrt 1/2))))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1/4 x) (* -1/2 x)) (* s (sqrt 1/2)))) (+ (* 1/2 (/ (- (* -1/48 (pow x 3)) (+ (* -1 (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2)))))) (+ (* -1/6 (pow x 3)) (+ (* 1/2 (/ (* (- (* -1/4 x) (* -1/2 x)) (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (+ (* 1/4 (/ (pow (- (* -1/4 x) (* -1/2 x)) 2) (pow (sqrt 1/2) 2))) (* 1/3 (pow x 2)))))) (pow (sqrt 1/2) 2))) (* 2/3 (* (pow x 2) (- (* -1/4 x) (* -1/2 x)))))))) (* (pow s 3) (sqrt 1/2)))) (* 1/2 (/ (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (+ (* 1/4 (/ (pow (- (* -1/4 x) (* -1/2 x)) 2) (pow (sqrt 1/2) 2))) (* 1/3 (pow x 2))))) (* (pow s 2) (sqrt 1/2)))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 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 (* -1 (/ x s))) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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 (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ 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 (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (* (log (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #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 (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1/2 (/ (- (* 1/4 x) (* 1/2 x)) (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/2 (/ (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (* s (sqrt 1/2)))) (* 1/2 (/ (- (* 1/4 x) (* 1/2 x)) (sqrt 1/2)))) s)))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (* (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (- (* 1/4 x) (* 1/2 x))) (pow (sqrt 1/2) 2))) (+ (* 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 (sqrt 1/2)))) (* 1/2 (/ (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (sqrt 1/2)))) s)) (* 1/2 (/ (- (* 1/4 x) (* 1/2 x)) (sqrt 1/2)))) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 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 (* -1 (/ x s))) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ 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 (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Calls

6 calls:

TimeVariablePointExpression
36.0ms
s
@0
((exp (* (log (+ 1 (pow (exp -1) (/ x s)))) -1)) (* (log (+ 1 (pow (exp -1) (/ x s)))) -1) (log (+ 1 (pow (exp -1) (/ x s)))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) (* -1 (/ x s)) (- (exp (* -1 (/ x s))) 1) -1/2 (/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1))
36.0ms
x
@inf
((exp (* (log (+ 1 (pow (exp -1) (/ x s)))) -1)) (* (log (+ 1 (pow (exp -1) (/ x s)))) -1) (log (+ 1 (pow (exp -1) (/ x s)))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) (* -1 (/ x s)) (- (exp (* -1 (/ x s))) 1) -1/2 (/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1))
26.0ms
x
@-inf
((exp (* (log (+ 1 (pow (exp -1) (/ x s)))) -1)) (* (log (+ 1 (pow (exp -1) (/ x s)))) -1) (log (+ 1 (pow (exp -1) (/ x s)))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) (* -1 (/ x s)) (- (exp (* -1 (/ x s))) 1) -1/2 (/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1))
6.0ms
s
@inf
((exp (* (log (+ 1 (pow (exp -1) (/ x s)))) -1)) (* (log (+ 1 (pow (exp -1) (/ x s)))) -1) (log (+ 1 (pow (exp -1) (/ x s)))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) (* -1 (/ x s)) (- (exp (* -1 (/ x s))) 1) -1/2 (/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1))
6.0ms
x
@0
((exp (* (log (+ 1 (pow (exp -1) (/ x s)))) -1)) (* (log (+ 1 (pow (exp -1) (/ x s)))) -1) (log (+ 1 (pow (exp -1) (/ x s)))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) (* -1 (/ x s)) (- (exp (* -1 (/ x s))) 1) -1/2 (/ 1 (- (pow (exp -1) (/ x s)) -1)) 1 (- (pow (exp -1) (/ x s)) -1))

rewrite188.0ms (5.2%)

Memory
9.1MiB live, 241.9MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07305061
07623815
148313815
081923651
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
138 → 233
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) #s(literal -1 binary32)))
(*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) #s(literal -1 binary32))
(log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x s)
x
s
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32))
(/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))
(expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s))))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))
#s(literal -1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32))
#s(approx (exp (* (log (+ 1 (pow (exp -1) (/ x s)))) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (+ 1 (pow (exp -1) (/ x s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)))) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (+ 1 (pow (exp -1) (/ x s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (+ 1 (pow (exp -1) (/ x s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 1/2))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt 1/2)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) (* -1 (/ x s))) #s(hole binary32 (* -2 (/ x s))))
#s(approx (* -1 (/ x s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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 (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 1/2))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -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)) -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)) -1) #s(hole binary32 2))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (pow (exp -1) (/ 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 (* (log (+ 1 (pow (exp -1) (/ x s)))) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (+ 1 (pow (exp -1) (/ x s)))) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (neg (* 2 (/ x s)))) 1))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (neg (* 2 (/ x s)))) 1)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (neg (* 2 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (- (exp (neg (* 2 (/ x s)))) 1)))
#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx s #s(hole binary32 s))
#s(approx (exp (* (log (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #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 (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/2 (/ (- (* -1/4 x) (* -1/2 x)) (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1/4 x) (* -1/2 x)) (* s (sqrt 1/2)))) (* 1/2 (/ (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (+ (* 1/4 (/ (pow (- (* -1/4 x) (* -1/2 x)) 2) (pow (sqrt 1/2) 2))) (* 1/3 (pow x 2))))) (* (pow s 2) (sqrt 1/2))))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1/4 x) (* -1/2 x)) (* s (sqrt 1/2)))) (+ (* 1/2 (/ (- (* -1/48 (pow x 3)) (+ (* -1 (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2)))))) (+ (* -1/6 (pow x 3)) (+ (* 1/2 (/ (* (- (* -1/4 x) (* -1/2 x)) (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (+ (* 1/4 (/ (pow (- (* -1/4 x) (* -1/2 x)) 2) (pow (sqrt 1/2) 2))) (* 1/3 (pow x 2)))))) (pow (sqrt 1/2) 2))) (* 2/3 (* (pow x 2) (- (* -1/4 x) (* -1/2 x)))))))) (* (pow s 3) (sqrt 1/2)))) (* 1/2 (/ (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (+ (* 1/4 (/ (pow (- (* -1/4 x) (* -1/2 x)) 2) (pow (sqrt 1/2) 2))) (* 1/3 (pow x 2))))) (* (pow s 2) (sqrt 1/2)))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 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 (* -1 (/ x s))) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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 (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ 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 (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (* (log (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #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 (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1/2 (/ (- (* 1/4 x) (* 1/2 x)) (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/2 (/ (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (* s (sqrt 1/2)))) (* 1/2 (/ (- (* 1/4 x) (* 1/2 x)) (sqrt 1/2)))) s)))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (* (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (- (* 1/4 x) (* 1/2 x))) (pow (sqrt 1/2) 2))) (+ (* 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 (sqrt 1/2)))) (* 1/2 (/ (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (sqrt 1/2)))) s)) (* 1/2 (/ (- (* 1/4 x) (* 1/2 x)) (sqrt 1/2)))) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 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 (* -1 (/ x s))) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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))))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (- (pow (exp -1) (/ 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 (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (pow (exp -1) (/ x s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Outputs
(*.f32 (pow.f32 (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 -1/2 binary32)) (pow.f32 (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 -1/2 binary32)))
(/.f32 (pow.f32 (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 -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) (pow.f32 (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)))
(/.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) (neg.f32 (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 (cosh.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (sinh.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
(pow.f32 (pow.f32 (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 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (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))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(+.f32 (cosh.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (neg.f32 (sinh.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 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)))
(log.f32 (/.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 (log1p.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) (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (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 0 binary32) (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(neg.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(log.f32 (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 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1 binary32))))) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
(-.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 3 binary32)))) (log1p.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 (/.f32 x s) #s(literal -1 binary32)))))))
(log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(*.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 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) (sinh.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))
(*.f32 (exp.f32 #s(literal -1/2 binary32)) (exp.f32 #s(literal -1/2 binary32)))
(/.f32 (exp.f32 #s(literal -2 binary32)) (exp.f32 #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 1 binary32)))
(-.f32 (cosh.f32 #s(literal 1 binary32)) (sinh.f32 #s(literal 1 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) #s(literal -1/2 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 x #s(literal -1 binary32)) (neg.f32 s))
(/.f32 x s)
x
s
(*.f32 (pow.f32 (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1/2 binary32)))
(*.f32 (neg.f32 (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))) #s(literal -1/2 binary32))))
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#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32)) s) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (pow (exp -1) (/ x s)) -1)) (fma.f32 (/.f32 (fma.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32))) s) (/.f32 (*.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)) -1) (fma.f32 (/.f32 (-.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (- (pow (exp -1) (/ x s)) -1) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) 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)))

eval124.0ms (3.4%)

Memory
10.8MiB live, 115.2MiB allocated; 24ms collecting garbage
Compiler

Compiled 17 626 to 1 400 computations (92.1% saved)

prune112.0ms (3.1%)

Memory
17.3MiB live, 159.1MiB allocated; 11ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4044408
Fresh000
Picked213
Done000
Total4065411
Accuracy
99.9%
Counts
411 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(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))
▶99.8%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
▶46.2%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal -1 binary32))))
▶64.1%
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
✓99.8%
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) #s(literal -1 binary32)))
Compiler

Compiled 125 to 73 computations (41.6% saved)

series151.0ms (4.2%)

Memory
-23.1MiB live, 254.6MiB allocated; 33ms collecting garbage
Counts
35 → 215
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))) #s(literal -1/2 binary32))
(/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))))
(expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s))))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))
#s(literal -1 binary32)
(/.f32 x s)
x
s
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s))))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(literal 0 binary32)
(*.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 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))
(/.f32 (/.f32 x s) #s(literal 2 binary32))
#s(literal 1 binary32)
#s(literal -1/2 binary32)
(pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32))
(/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))
(expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal -1 binary32))))
(/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal -1 binary32)))
(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)) (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(exp.f32 #s(literal -2 binary32))
#s(literal -2 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 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal -1 binary32))
Outputs
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 -1/2))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (* -1/4 (/ x s)) 1/2)))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (* x (- (* 1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))) 1/2)))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (* x (- (* (pow x 2) (+ (* x (- (* 1/36 (/ 1 (pow s 4))) (* 1/36 (/ 1 (pow s 4))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))) 1/2)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (sqrt 1/2)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 2))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (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 (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (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 (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) (* -1 (/ x s))) #s(hole binary32 (* -2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (* -1 (/ x s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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 (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 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 (- 0 (* 2 (/ x s))) #s(hole binary32 (* -2 (/ x s))))
#s(approx (* 2 (/ x s)) #s(hole binary32 (* 2 (/ x 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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt 1/2)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (* -1 (/ x s))) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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 (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 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 (/ (- (exp (- 0 (* 2 (/ x s)))) 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 (/ (- (exp (- 0 (* 2 (/ x s)))) 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 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 2))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (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 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (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)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* 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 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -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 (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 1/2))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #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 (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 1))
#s(approx (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 1/2))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 2))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (pow (exp -2) (/ (/ 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)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (neg (* 2 (/ x s)))) 1))))))
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#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (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 (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (- (exp (neg (* 2 (/ x s)))) 1)))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ (- (exp (neg (* 2 (/ x s)))) 1) (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (- (exp (neg (* 2 (/ x s)))) 1)))
#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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (neg (* 2 (/ x s)))) 1)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (neg (* 2 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (/ (- (pow (exp (* -1/2 (/ x s))) 2) 1) (- (exp (neg (* 2 (/ x s)))) 1))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (/ (- (exp (neg (* 2 (/ x s)))) 1) (- (pow (exp (* -1/2 (/ x s))) 2) 1))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (- (pow (exp (* -1/2 (/ x s))) 2) 1)))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (* -2 (/ x s))) 1))))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
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#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
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#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (pow (exp (* -1/2 (/ x s))) 2) 1))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (* (sqrt (/ (* (- (exp (neg (* 2 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))) (/ 1 (- (exp (* -2 (/ x s))) 1)))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (sqrt (/ (- (exp (neg (* 2 (/ x s)))) 1) (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (* -2 (/ x s))) 1))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (/ (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (* -2 (/ x s))) 1)) (- (exp (neg (* 2 (/ x s)))) 1))))
#s(approx s #s(hole binary32 s))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (+ (* -1/2 (/ x s)) (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* s (pow x 2))))) 1/2)))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (+ (* -1 (/ (* x (+ (* -1/3 x) (* 1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (+ (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* s (pow x 2)))) (+ (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* (pow s 2) x))) (* -1/4 (/ (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) 2) (pow x 2))) (* 1/4 (pow x 4))))) (* (pow s 2) (pow x 2)))))))) 1/2)))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (+ (* -1 (/ (* x (+ (* -1/3 x) (* 1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (+ (* -1/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (* x (+ (* -1/3 x) (* 1/2 x)))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/2 (/ (* (+ (* -1/3 x) (* 1/2 x)) (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3)))) (* (pow s 3) x))) (+ (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* s (pow x 2)))) (+ (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* (pow s 2) x))) (+ (* -1/4 (/ (- (* 1/2 (+ (* -4/3 (pow x 5)) (+ (* -1/3 (pow x 5)) (* -1/12 (pow x 5))))) (+ (* -1/2 (* x (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (* 1/4 (pow x 4)))))) (+ (* 1/4 (* (pow x 2) (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/2 (* (pow x 2) (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))))) (* 1/2 (/ (* (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) 2) (pow x 2))) (* 1/4 (pow x 4)))))) (pow x 2))))))) (* (pow s 3) (pow x 2)))) (+ (* -1/4 (/ (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) 2) (pow x 2))) (* 1/4 (pow x 4))))) (* (pow s 2) (pow x 2)))) (* -1/4 (/ (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) 2) (pow x 2))) (* 1/4 (pow x 4))))) (* (pow s 3) x))))))))))) 1/2)))
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#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* s (sqrt 1/2)))) (* 1/2 (/ (- (* 1/3 (pow x 2)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (+ (* -1/8 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x)) (* 1/4 (/ (pow (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) 2) (pow (sqrt 1/2) 2)))))) (* (pow s 2) (sqrt 1/2))))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* s (sqrt 1/2)))) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/4 (/ (* (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* 1/3 (pow x 2)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (* -1/8 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x))))) x)) (+ (* -1/8 (/ (+ (* -2 (* x (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))))) (+ (* 8/3 (pow x 4)) (pow x 4))) x)) (* 1/2 (/ (* (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (- (* 1/3 (pow x 2)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (+ (* -1/8 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x)) (* 1/4 (/ (pow (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) 2) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2))))))) (* (pow s 3) (sqrt 1/2)))) (* 1/2 (/ (- (* 1/3 (pow x 2)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (+ (* -1/8 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x)) (* 1/4 (/ (pow (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) 2) (pow (sqrt 1/2) 2)))))) (* (pow s 2) (sqrt 1/2)))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (- (+ 2 (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (* s x)))) (* -2 (/ x s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (- (+ 2 (+ (* -1/2 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* (pow s 2) x))) (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (* s x))))) (+ (* -2 (/ x s)) (+ (* -1 (/ (* x (- (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* -2 x))) (pow s 2))) (* 4/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (- (+ 2 (+ (* -1/2 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* (pow s 2) x))) (+ (* -1/2 (/ (+ (* -2 (* x (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))))) (+ (* 8/3 (pow x 4)) (pow x 4))) (* (pow s 3) x))) (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (* s x)))))) (+ (* -2 (/ x s)) (+ (* -1 (/ (* x (- (* -1/2 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x)) (+ (* -1 (* x (- (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* -2 x)))) (* 4/3 (pow x 2))))) (pow s 3))) (+ (* -1 (/ (* x (- (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* -2 x))) (pow s 2))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2/3 (/ (* (pow x 2) (- (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* -2 x))) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))))))))
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#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ (- (+ (* -1 x) (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) s)))
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#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 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 (+ (* (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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/2 (/ (- (* -1/4 x) (* -1/2 x)) (* s (sqrt 1/2)))))))
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#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
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#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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)))
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#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -2 (/ (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))) (* (pow s 2) x))) (+ (* -1 (/ x s)) (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))))))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -2 (/ (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))) (* (pow s 2) x))) (+ (* -2 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) (* (pow s 3) x))) (+ (* -1 (/ x s)) (+ (* -1 (/ (* (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))) (- (* -2 x) (* -1 x))) (* (pow s 3) x))) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -2 (/ (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))) x)) (* -1/2 (* x (- (* -2 x) (* -1 x))))))) (pow s 3)))))))))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (/ (+ (* -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 (/ (+ (* -1 x) (+ (* -1/8 (/ (pow x 3) (pow s 2))) (+ (* -1/24 (/ (pow x 3) (pow s 2))) (* 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 (/ (+ (* -1 x) (+ (* -1/8 (/ (pow x 3) (pow s 2))) (+ (* -1/24 (/ (pow x 3) (pow s 2))) (+ (* 1/192 (/ (pow x 4) (pow s 3))) (+ (* 1/64 (/ (pow x 4) (pow s 3))) (+ (* 1/48 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s)))))))) s)))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #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 (pow (exp -2) (/ (/ x s) 2)))) #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 (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
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#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
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#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x)) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x)) (+ (* 4/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x))))) s)) (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* 2 x)) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2 (* x (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))) (+ (* 8/3 (pow x 4)) (pow x 4))) x)) (+ (* 2/3 (* (pow x 2) (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x)))) (+ (* 2/3 (pow x 3)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x)) (+ (* 4/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x))))))))) s)) (* 1/2 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x))) (+ (* 4/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x))))) s)) (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* 2 x)) s)))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 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 (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (- (pow x 2) (* 1/2 (pow x 2))) s))) s))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2))))))) s)) (pow x 2)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (+ (* 1/2 (* x (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))) s)) (* 2/3 (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2))))))) s)) (pow x 2)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 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 (+ (* (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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1/2 (/ (- (* 1/4 x) (* 1/2 x)) (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/2 (/ (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (* s (sqrt 1/2)))) (* 1/2 (/ (- (* 1/4 x) (* 1/2 x)) (sqrt 1/2)))) s)))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (* (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (- (* 1/4 x) (* 1/2 x))) (pow (sqrt 1/2) 2))) (+ (* 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 (sqrt 1/2)))) (* 1/2 (/ (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (sqrt 1/2)))) s)) (* 1/2 (/ (- (* 1/4 x) (* 1/2 x)) (sqrt 1/2)))) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (* -1 (/ x s))) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) x)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)))))) (+ (* 2 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) x)) (/ (* (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) (- (* 2 x) x)) x)))) s)) (* 4/3 (pow x 2))) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)))) s)) (* 2 x)) x) s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* -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 (* -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)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) s)) (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #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 (pow (exp -2) (/ (/ x s) 2)))) #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 (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Calls

6 calls:

TimeVariablePointExpression
51.0ms
x
@inf
((* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) -1 (/ x s) x s (* -1 (/ x s)) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (- (exp (- 0 (* 2 (/ x s)))) 1) (- 0 (* 2 (/ x s))) 0 (* 2 (/ x s)) 2 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) 1 -1/2 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (* -1 (/ x s))) 1) (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) (pow (exp -2) (/ (/ x s) 2)) (exp -2) -2 (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) (- (pow (exp -2) (/ (/ x s) 2)) -1))
28.0ms
s
@0
((* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) -1 (/ x s) x s (* -1 (/ x s)) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (- (exp (- 0 (* 2 (/ x s)))) 1) (- 0 (* 2 (/ x s))) 0 (* 2 (/ x s)) 2 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) 1 -1/2 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (* -1 (/ x s))) 1) (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) (pow (exp -2) (/ (/ x s) 2)) (exp -2) -2 (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) (- (pow (exp -2) (/ (/ x s) 2)) -1))
21.0ms
x
@-inf
((* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) -1 (/ x s) x s (* -1 (/ x s)) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (- (exp (- 0 (* 2 (/ x s)))) 1) (- 0 (* 2 (/ x s))) 0 (* 2 (/ x s)) 2 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) 1 -1/2 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (* -1 (/ x s))) 1) (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) (pow (exp -2) (/ (/ x s) 2)) (exp -2) -2 (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) (- (pow (exp -2) (/ (/ x s) 2)) -1))
16.0ms
s
@inf
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13.0ms
x
@0
((* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) -1 (/ x s) x s (* -1 (/ x s)) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (- (exp (- 0 (* 2 (/ x s)))) 1) (- 0 (* 2 (/ x s))) 0 (* 2 (/ x s)) 2 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) 1 -1/2 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (* -1 (/ x s))) 1) (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) (pow (exp -2) (/ (/ x s) 2)) (exp -2) -2 (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) (- (pow (exp -2) (/ (/ x s) 2)) -1))

rewrite229.0ms (6.3%)

Memory
3.0MiB live, 292.5MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146213702
0152812905
0807211984
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
250 → 312
Calls
Call 1
Inputs
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x
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#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (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)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* 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 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -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 (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 1/2))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #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 (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 1))
#s(approx (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 1/2))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 2))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (pow (exp -2) (/ (/ 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)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (neg (* 2 (/ x s)))) 1))))))
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#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (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 (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (- (exp (neg (* 2 (/ x s)))) 1)))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ (- (exp (neg (* 2 (/ x s)))) 1) (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (- (exp (neg (* 2 (/ x s)))) 1)))
#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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (neg (* 2 (/ x s)))) 1)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (neg (* 2 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (/ (- (pow (exp (* -1/2 (/ x s))) 2) 1) (- (exp (neg (* 2 (/ x s)))) 1))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (/ (- (exp (neg (* 2 (/ x s)))) 1) (- (pow (exp (* -1/2 (/ x s))) 2) 1))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (- (pow (exp (* -1/2 (/ x s))) 2) 1)))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (* -2 (/ x s))) 1))))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
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#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
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#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (pow (exp (* -1/2 (/ x s))) 2) 1))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (* (sqrt (/ (* (- (exp (neg (* 2 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))) (/ 1 (- (exp (* -2 (/ x s))) 1)))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (sqrt (/ (- (exp (neg (* 2 (/ x s)))) 1) (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (* -2 (/ x s))) 1))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (/ (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (* -2 (/ x s))) 1)) (- (exp (neg (* 2 (/ x s)))) 1))))
#s(approx s #s(hole binary32 s))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (+ (* -1/2 (/ x s)) (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* s (pow x 2))))) 1/2)))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (+ (* -1 (/ (* x (+ (* -1/3 x) (* 1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (+ (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* s (pow x 2)))) (+ (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* (pow s 2) x))) (* -1/4 (/ (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) 2) (pow x 2))) (* 1/4 (pow x 4))))) (* (pow s 2) (pow x 2)))))))) 1/2)))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (+ (* -1 (/ (* x (+ (* -1/3 x) (* 1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (+ (* -1/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (* x (+ (* -1/3 x) (* 1/2 x)))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/2 (/ (* (+ (* -1/3 x) (* 1/2 x)) (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3)))) (* (pow s 3) x))) (+ (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* s (pow x 2)))) (+ (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* (pow s 2) x))) (+ (* -1/4 (/ (- (* 1/2 (+ (* -4/3 (pow x 5)) (+ (* -1/3 (pow x 5)) (* -1/12 (pow x 5))))) (+ (* -1/2 (* x (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (* 1/4 (pow x 4)))))) (+ (* 1/4 (* (pow x 2) (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/2 (* (pow x 2) (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))))) (* 1/2 (/ (* (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) 2) (pow x 2))) (* 1/4 (pow x 4)))))) (pow x 2))))))) (* (pow s 3) (pow x 2)))) (+ (* -1/4 (/ (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) 2) (pow x 2))) (* 1/4 (pow x 4))))) (* (pow s 2) (pow x 2)))) (* -1/4 (/ (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) 2) (pow x 2))) (* 1/4 (pow x 4))))) (* (pow s 3) x))))))))))) 1/2)))
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#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* s (sqrt 1/2)))) (* 1/2 (/ (- (* 1/3 (pow x 2)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (+ (* -1/8 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x)) (* 1/4 (/ (pow (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) 2) (pow (sqrt 1/2) 2)))))) (* (pow s 2) (sqrt 1/2))))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* s (sqrt 1/2)))) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/4 (/ (* (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* 1/3 (pow x 2)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (* -1/8 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x))))) x)) (+ (* -1/8 (/ (+ (* -2 (* x (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))))) (+ (* 8/3 (pow x 4)) (pow x 4))) x)) (* 1/2 (/ (* (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (- (* 1/3 (pow x 2)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (+ (* -1/8 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x)) (* 1/4 (/ (pow (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) 2) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2))))))) (* (pow s 3) (sqrt 1/2)))) (* 1/2 (/ (- (* 1/3 (pow x 2)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (+ (* -1/8 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x)) (* 1/4 (/ (pow (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) 2) (pow (sqrt 1/2) 2)))))) (* (pow s 2) (sqrt 1/2)))))))))
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#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (- (+ 2 (+ (* -1/2 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* (pow s 2) x))) (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (* s x))))) (+ (* -2 (/ x s)) (+ (* -1 (/ (* x (- (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* -2 x))) (pow s 2))) (* 4/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (- (+ 2 (+ (* -1/2 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* (pow s 2) x))) (+ (* -1/2 (/ (+ (* -2 (* x (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))))) (+ (* 8/3 (pow x 4)) (pow x 4))) (* (pow s 3) x))) (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (* s x)))))) (+ (* -2 (/ x s)) (+ (* -1 (/ (* x (- (* -1/2 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x)) (+ (* -1 (* x (- (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* -2 x)))) (* 4/3 (pow x 2))))) (pow s 3))) (+ (* -1 (/ (* x (- (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* -2 x))) (pow s 2))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2/3 (/ (* (pow x 2) (- (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* -2 x))) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))))))))
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#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 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 (+ (* (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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/2 (/ (- (* -1/4 x) (* -1/2 x)) (* s (sqrt 1/2)))))))
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#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
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#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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)))
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#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -2 (/ (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))) (* (pow s 2) x))) (+ (* -1 (/ x s)) (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))))))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -2 (/ (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))) (* (pow s 2) x))) (+ (* -2 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) (* (pow s 3) x))) (+ (* -1 (/ x s)) (+ (* -1 (/ (* (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))) (- (* -2 x) (* -1 x))) (* (pow s 3) x))) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -2 (/ (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))) x)) (* -1/2 (* x (- (* -2 x) (* -1 x))))))) (pow s 3)))))))))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (/ (+ (* -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 (/ (+ (* -1 x) (+ (* -1/8 (/ (pow x 3) (pow s 2))) (+ (* -1/24 (/ (pow x 3) (pow s 2))) (* 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 (/ (+ (* -1 x) (+ (* -1/8 (/ (pow x 3) (pow s 2))) (+ (* -1/24 (/ (pow x 3) (pow s 2))) (+ (* 1/192 (/ (pow x 4) (pow s 3))) (+ (* 1/64 (/ (pow x 4) (pow s 3))) (+ (* 1/48 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s)))))))) s)))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #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 (pow (exp -2) (/ (/ x s) 2)))) #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 (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
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#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
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#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x)) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x)) (+ (* 4/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x))))) s)) (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* 2 x)) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2 (* x (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))) (+ (* 8/3 (pow x 4)) (pow x 4))) x)) (+ (* 2/3 (* (pow x 2) (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x)))) (+ (* 2/3 (pow x 3)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x)) (+ (* 4/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x))))))))) s)) (* 1/2 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x))) (+ (* 4/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x))))) s)) (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* 2 x)) s)))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 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 (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (- (pow x 2) (* 1/2 (pow x 2))) s))) s))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2))))))) s)) (pow x 2)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (+ (* 1/2 (* x (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))) s)) (* 2/3 (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2))))))) s)) (pow x 2)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 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 (+ (* (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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1/2 (/ (- (* 1/4 x) (* 1/2 x)) (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/2 (/ (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (* s (sqrt 1/2)))) (* 1/2 (/ (- (* 1/4 x) (* 1/2 x)) (sqrt 1/2)))) s)))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (* (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (- (* 1/4 x) (* 1/2 x))) (pow (sqrt 1/2) 2))) (+ (* 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 (sqrt 1/2)))) (* 1/2 (/ (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (sqrt 1/2)))) s)) (* 1/2 (/ (- (* 1/4 x) (* 1/2 x)) (sqrt 1/2)))) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (* -1 (/ x s))) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) x)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)))))) (+ (* 2 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) x)) (/ (* (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) (- (* 2 x) x)) x)))) s)) (* 4/3 (pow x 2))) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)))) s)) (* 2 x)) x) s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* -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 (* -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)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) s)) (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) #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 (pow (exp -2) (/ (/ x s) 2)))) #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 (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -2) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Outputs
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
(pow.f32 (*.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))) (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))) #s(literal -1/2 binary32))
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))) #s(literal -1/4 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))) #s(literal -1/4 binary32)))
(pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))) #s(literal -1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))))) #s(literal -1/2 binary32)))
(/.f32 (neg.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s))))) (neg.f32 (/.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))))
(-.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s))))
(/.f32 (-.f32 (*.f32 (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s))))) #s(literal 1 binary32)) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal 1 binary32)))))
(-.f32 (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal 1 binary32))
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#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) s) (/.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) x)))) s)) (*.f32 #s(literal 2 binary32) x)) x) s))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) x)) (fma.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 x x) x) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (-.f32 (*.f32 #s(literal 2 binary32) x) x))) (*.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) x)))))))))) s) (*.f32 #s(literal 4/3 binary32) (*.f32 x x))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) x))))) s) (*.f32 #s(literal 2 binary32) x)) x) s))))
#s(approx (- (exp (* -1 (/ x s))) 1) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))) s)))
#s(approx (- (exp (* -1 (/ x s))) 1) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) x) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s)))
#s(approx (- (exp (* -1 (/ x s))) 1) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) x))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s)))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal -1/2 binary32) x)) s))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x))) x)) s) (/.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal -1/2 binary32) x)))) s)) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 #s(literal 1/2 binary32) x)) s))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/192 binary32) (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1/48 binary32) (pow.f32 x #s(literal 4 binary32))))) x)) (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) x) (-.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal -1/2 binary32) x)))) (*.f32 (neg.f32 x) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x))) x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal -1/2 binary32) x))))))))) s) (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x))) x))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 x (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal -1/2 binary32) x))))) s) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 #s(literal 1/2 binary32) x)) s))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) x)) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x))) x))) s)) (*.f32 #s(literal 2 binary32) x)) x) s))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) x)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) x)) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x))) x))))) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/192 binary32) (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1/48 binary32) (pow.f32 x #s(literal 4 binary32))))) x) (/.f32 (*.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x))) (-.f32 (*.f32 #s(literal 2 binary32) x) x)) x)))) s) (*.f32 #s(literal 4/3 binary32) (*.f32 x x))) (fma.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) x)) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x))) x)))) s) (*.f32 #s(literal 2 binary32) x)) x) s))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))) s)))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s)))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/192 binary32) (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1/48 binary32) (pow.f32 x #s(literal 4 binary32))))) s) (fma.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 x x) x)))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s)))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (*.f32 #s(literal -1/4 binary32) x)) s))))
#s(approx (pow (exp -1) (log (+ 1 (pow (exp -2) (/ (/ x s) 2))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) x)))) (fma.f32 #s(literal -1/48 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 1/4 binary32) (*.f32 x (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))))) s) (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))))) s) (*.f32 #s(literal -1/4 binary32) x)) s))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) (-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) (*.f32 #s(literal 1/2 binary32) x)) s))))
#s(approx (log (+ 1 (pow (exp -2) (/ (/ x s) 2)))) (-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) x)))) s) (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))))) s) (*.f32 #s(literal 1/2 binary32) x)) s))))
#s(approx (pow (exp -2) (/ (/ x s) 2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))) s))))
#s(approx (pow (exp -2) (/ (/ x s) 2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) x) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1 binary32) (-.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 x x) s))) s) (/.f32 (*.f32 #s(literal 1/4 binary32) x) s)))))
#s(approx (pow (- (pow (exp -2) (/ (/ x s) 2)) -1) -1) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x)))) s) (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (*.f32 x x) x) s) (*.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 (*.f32 x x) x) s)))) s) (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s)) (*.f32 #s(literal -1/4 binary32) x)) s))))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))) s))))
#s(approx (- (pow (exp -2) (/ (/ x s) 2)) -1) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) x) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s))))

eval65.0ms (1.8%)

Memory
3.1MiB live, 138.4MiB allocated; 13ms collecting garbage
Compiler

Compiled 35 039 to 2 557 computations (92.7% saved)

prune105.0ms (2.9%)

Memory
3.7MiB live, 191.2MiB allocated; 25ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New5342536
Fresh000
Picked224
Done011
Total5365541
Accuracy
99.9%
Counts
541 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(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))
✓99.8%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
▶46.2%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.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))))
▶46.6%
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.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)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
✓99.8%
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) #s(literal -1 binary32)))
Compiler

Compiled 132 to 83 computations (37.1% saved)

series48.0ms (1.3%)

Memory
28.5MiB live, 77.0MiB allocated; 9ms collecting garbage
Counts
35 → 197
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.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)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.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)))) #s(literal -1/2 binary32))
(/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.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))))
(expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s))))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))
#s(literal -1 binary32)
(/.f32 x s)
x
s
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.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 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))
(exp.f32 #s(literal -2 binary32))
#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))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(exp.f32 #s(literal -1 binary32))
(/.f32 (/.f32 x s) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal -1/2 binary32)
(pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32))
(/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))
(expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.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 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.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)))
(expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s))))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(literal 0 binary32)
(*.f32 #s(literal 2 binary32) (/.f32 x s))
(fma.f32 (pow.f32 (exp.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))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1/2 binary32))
Outputs
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 -1/2))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (* -1/4 (/ x s)) 1/2)))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (* x (- (* 1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))) 1/2)))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (* x (- (* (pow x 2) (+ (* x (- (* 1/36 (/ 1 (pow s 4))) (* 1/36 (/ 1 (pow s 4))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))) 1/2)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (sqrt 1/2)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 2))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (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 (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (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 (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) (* -1 (/ x s))) #s(hole binary32 (* -2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (* -1 (/ x s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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 (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (pow (exp -2) (/ x s)) 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 (pow (exp -2) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -2) (/ x s)) #s(hole binary32 (+ 1 (* -2 (/ x s)))))
#s(approx (pow (exp -2) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))))
#s(approx (pow (exp -2) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt 1/2)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (* -1 (/ x s))) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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 (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 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 (/ (- (exp (- 0 (* 2 (/ x s)))) 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 (/ (- (exp (- 0 (* 2 (/ x s)))) 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 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 2))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (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 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (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 (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 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 (- 0 (* 2 (/ x s))) #s(hole binary32 (* -2 (/ x s))))
#s(approx (* 2 (/ x s)) #s(hole binary32 (* 2 (/ x s))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* 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 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -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 (pow (exp -1/2) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1/2) (/ x s)) #s(hole binary32 (+ 1 (* -1/2 (/ x s)))))
#s(approx (pow (exp -1/2) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (pow (exp -1/2) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (* (sqrt (/ (* (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1)) (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))) (/ 1 (- (exp (neg (* 2 (/ x s)))) 1)))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (sqrt (/ (- (exp (* -2 (/ x s))) 1) (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (neg (* 2 (/ x s)))) 1))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (/ (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (neg (* 2 (/ x s)))) 1)) (- (exp (* -2 (/ x s))) 1))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (- (exp (neg (* 2 (/ x s)))) 1)))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))))
#s(approx (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (pow (exp -2) (/ x s)) #s(hole binary32 (exp (* -2 (/ x s)))))
#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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (neg (* 2 (/ x s)))) 1)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (neg (* 2 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (/ (- (pow (exp (* -1/2 (/ x s))) 2) 1) (- (exp (neg (* 2 (/ x s)))) 1))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (/ (- (exp (neg (* 2 (/ x s)))) 1) (- (pow (exp (* -1/2 (/ x s))) 2) 1))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (- (exp (neg (* 2 (/ x s)))) 1)))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (- (pow (exp (* -1/2 (/ x s))) 2) 1)))
#s(approx (pow (exp -1/2) (/ x s)) #s(hole binary32 (exp (* -1/2 (/ x s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (* -2 (/ x s))) 1))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (sqrt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (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 (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (/ (- (pow (exp (* -1/2 (/ x s))) 2) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (pow (exp (* -1/2 (/ x s))) 2) 1))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx s #s(hole binary32 s))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (+ (* -1/2 (/ x s)) (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* s (pow x 2))))) 1/2)))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (+ (* -1 (/ (* x (+ (* -1/3 x) (* 1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (+ (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* s (pow x 2)))) (+ (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* (pow s 2) x))) (* -1/4 (/ (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) 2) (pow x 2))) (* 1/4 (pow x 4))))) (* (pow s 2) (pow x 2)))))))) 1/2)))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (+ (* -1 (/ (* x (+ (* -1/3 x) (* 1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (+ (* -1/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (* x (+ (* -1/3 x) (* 1/2 x)))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/2 (/ (* (+ (* -1/3 x) (* 1/2 x)) (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3)))) (* (pow s 3) x))) (+ (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* s (pow x 2)))) (+ (* -1/4 (/ (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (* (pow s 2) x))) (+ (* -1/4 (/ (- (* 1/2 (+ (* -4/3 (pow x 5)) (+ (* -1/3 (pow x 5)) (* -1/12 (pow x 5))))) (+ (* -1/2 (* x (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (* 1/4 (pow x 4)))))) (+ (* 1/4 (* (pow x 2) (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/2 (* (pow x 2) (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))))) (* 1/2 (/ (* (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) 2) (pow x 2))) (* 1/4 (pow x 4)))))) (pow x 2))))))) (* (pow s 3) (pow x 2)))) (+ (* -1/4 (/ (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) 2) (pow x 2))) (* 1/4 (pow x 4))))) (* (pow s 2) (pow x 2)))) (* -1/4 (/ (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* -1/2 (* x (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* -1/2 (pow x 3))) 2) (pow x 2))) (* 1/4 (pow x 4))))) (* (pow s 3) x))))))))))) 1/2)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/2 (/ (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* s (sqrt 1/2)))) (* 1/2 (/ (- (* 1/3 (pow x 2)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (+ (* -1/8 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x)) (* 1/4 (/ (pow (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) 2) (pow (sqrt 1/2) 2)))))) (* (pow s 2) (sqrt 1/2))))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* s (sqrt 1/2)))) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/4 (/ (* (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* 1/3 (pow x 2)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (* -1/8 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x))))) x)) (+ (* -1/8 (/ (+ (* -2 (* x (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))))) (+ (* 8/3 (pow x 4)) (pow x 4))) x)) (* 1/2 (/ (* (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (- (* 1/3 (pow x 2)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (+ (* -1/8 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x)) (* 1/4 (/ (pow (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) 2) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2))))))) (* (pow s 3) (sqrt 1/2)))) (* 1/2 (/ (- (* 1/3 (pow x 2)) (+ (* -1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (+ (* -1/8 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x)) (* 1/4 (/ (pow (- (* -1/2 x) (* -1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) 2) (pow (sqrt 1/2) 2)))))) (* (pow s 2) (sqrt 1/2)))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (- (+ 2 (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (* s x)))) (* -2 (/ x s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (- (+ 2 (+ (* -1/2 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* (pow s 2) x))) (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (* s x))))) (+ (* -2 (/ x s)) (+ (* -1 (/ (* x (- (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* -2 x))) (pow s 2))) (* 4/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (- (+ 2 (+ (* -1/2 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) (* (pow s 2) x))) (+ (* -1/2 (/ (+ (* -2 (* x (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3))))) (+ (* 8/3 (pow x 4)) (pow x 4))) (* (pow s 3) x))) (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (* s x)))))) (+ (* -2 (/ x s)) (+ (* -1 (/ (* x (- (* -1/2 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) x)) (+ (* -1 (* x (- (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* -2 x)))) (* 4/3 (pow x 2))))) (pow s 3))) (+ (* -1 (/ (* x (- (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* -2 x))) (pow s 2))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2/3 (/ (* (pow x 2) (- (* -1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* -2 x))) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 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 (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ (- (+ (* -1 x) (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ (- (+ (* -1 x) (+ (* -2/3 (/ (pow x 3) (pow s 2))) (/ (pow x 2) s))) (+ (* -1/2 (/ (* x (- (pow x 2) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/4 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))) s)))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ (- (+ (* -1 x) (+ (* -2/3 (/ (pow x 3) (pow s 2))) (+ (* 1/3 (/ (pow x 4) (pow s 3))) (/ (pow x 2) s)))) (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 3)) (* -1/24 (pow x 3)))) (pow s 3))) (+ (* -1/2 (/ (* x (- (* -2/3 (pow x 3)) (+ (* -1/2 (* x (- (pow x 2) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3))))) (pow s 3))) (+ (* -1/2 (/ (* x (- (pow x 2) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/4 (/ (pow x 3) (pow s 2))) (+ (* 1/4 (/ (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2)))) (pow s 3))) (* 1/2 (/ (pow x 2) s)))))))) s)))
#s(approx (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (pow (exp -2) (/ x s)) 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 (pow (exp -2) (/ x s)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -2) (/ x s)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 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)) (* 1/2 (/ (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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/2 (/ (- (* -1/4 x) (* -1/2 x)) (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1/4 x) (* -1/2 x)) (* s (sqrt 1/2)))) (* 1/2 (/ (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (+ (* 1/4 (/ (pow (- (* -1/4 x) (* -1/2 x)) 2) (pow (sqrt 1/2) 2))) (* 1/3 (pow x 2))))) (* (pow s 2) (sqrt 1/2))))))))
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#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
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#s(approx (pow (exp -1/2) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))))
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#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x)) (+ (* 4/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x))))) s)) (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* 2 x)) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2 (* x (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))) (+ (* 8/3 (pow x 4)) (pow x 4))) x)) (+ (* 2/3 (* (pow x 2) (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x)))) (+ (* 2/3 (pow x 3)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x)) (+ (* 4/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x))))))))) s)) (* 1/2 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x))) (+ (* 4/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x))))) s)) (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* 2 x)) s)))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 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 (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (- (pow x 2) (* 1/2 (pow x 2))) s))) s))))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2))))))) s)) (pow x 2)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (+ (* 1/2 (* x (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))) s)) (* 2/3 (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2))))))) s)) (pow x 2)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (pow (exp -2) (/ x s)) 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 (pow (exp -2) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s)))))
#s(approx (pow (exp -2) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1/2 (/ (- (* 1/4 x) (* 1/2 x)) (* s (sqrt 1/2)))))))
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#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) x)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)))))) (+ (* 2 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) x)) (/ (* (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) (- (* 2 x) x)) x)))) s)) (* 4/3 (pow x 2))) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)))) s)) (* 2 x)) x) s)))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* -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 (* -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)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) s)) (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (pow (exp -1/2) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))))
#s(approx (pow (exp -1/2) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
s
@0
((* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) -1 (/ x s) x s (* -1 (/ x s)) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (- (pow (exp -2) (/ x s)) 1) (pow (exp -2) (/ x s)) (exp -2) -2 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) 2 -1/2 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (* -1 (/ x s))) 1) (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (- (exp (- 0 (* 2 (/ x s)))) 1) (- 0 (* 2 (/ x s))) 0 (* 2 (/ x s)) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1/2) (/ x s)) (exp -1/2))
8.0ms
x
@inf
((* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) -1 (/ x s) x s (* -1 (/ x s)) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (- (pow (exp -2) (/ x s)) 1) (pow (exp -2) (/ x s)) (exp -2) -2 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) 2 -1/2 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (* -1 (/ x s))) 1) (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (- (exp (- 0 (* 2 (/ x s)))) 1) (- 0 (* 2 (/ x s))) 0 (* 2 (/ x s)) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1/2) (/ x s)) (exp -1/2))
7.0ms
x
@-inf
((* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) -1 (/ x s) x s (* -1 (/ x s)) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (- (pow (exp -2) (/ x s)) 1) (pow (exp -2) (/ x s)) (exp -2) -2 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) 2 -1/2 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (* -1 (/ x s))) 1) (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (- (exp (- 0 (* 2 (/ x s)))) 1) (- 0 (* 2 (/ x s))) 0 (* 2 (/ x s)) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1/2) (/ x s)) (exp -1/2))
4.0ms
s
@inf
((* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) -1 (/ x s) x s (* -1 (/ x s)) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (- (pow (exp -2) (/ x s)) 1) (pow (exp -2) (/ x s)) (exp -2) -2 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) 2 -1/2 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (* -1 (/ x s))) 1) (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (- (exp (- 0 (* 2 (/ x s)))) 1) (- 0 (* 2 (/ x s))) 0 (* 2 (/ x s)) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1/2) (/ x s)) (exp -1/2))
4.0ms
s
@-inf
((* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (+ (* -1 (/ x s)) (* -1 (/ x s))) -1 (/ x s) x s (* -1 (/ x s)) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (- (pow (exp -2) (/ x s)) 1) (pow (exp -2) (/ x s)) (exp -2) -2 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ (/ x s) 2) 2 -1/2 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (- (exp (* -1 (/ x s))) 1) (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (- (exp (- 0 (* 2 (/ x s)))) 1) (- 0 (* 2 (/ x s))) 0 (* 2 (/ x s)) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1/2) (/ x s)) (exp -1/2))

rewrite184.0ms (5.1%)

Memory
16.5MiB live, 248.8MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131612819
013779957
082179608
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
232 → 321
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.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)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.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)))) #s(literal -1/2 binary32))
(/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.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))))
(expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s))))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))
#s(literal -1 binary32)
(/.f32 x s)
x
s
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.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 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))
(exp.f32 #s(literal -2 binary32))
#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))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(exp.f32 #s(literal -1 binary32))
(/.f32 (/.f32 x s) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal -1/2 binary32)
(pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32))
(/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))
(expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.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 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.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)))
(expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s))))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(literal 0 binary32)
(*.f32 #s(literal 2 binary32) (/.f32 x s))
(fma.f32 (pow.f32 (exp.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))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1/2 binary32))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 -1/2))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (* -1/4 (/ x s)) 1/2)))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (* x (- (* 1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))) 1/2)))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (- (* x (- (* (pow x 2) (+ (* x (- (* 1/36 (/ 1 (pow s 4))) (* 1/36 (/ 1 (pow s 4))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))) 1/2)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (sqrt 1/2)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 2))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (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 (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (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 (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) (* -1 (/ x s))) #s(hole binary32 (* -2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (* -1 (/ x s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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 (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (pow (exp -2) (/ x s)) 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 (pow (exp -2) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -2) (/ x s)) #s(hole binary32 (+ 1 (* -2 (/ x s)))))
#s(approx (pow (exp -2) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))))
#s(approx (pow (exp -2) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt 1/2)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (* -1 (/ x s))) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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 (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 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 (/ (- (exp (- 0 (* 2 (/ x s)))) 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 (/ (- (exp (- 0 (* 2 (/ x s)))) 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 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 2))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (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 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (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 (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 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 (- 0 (* 2 (/ x s))) #s(hole binary32 (* -2 (/ x s))))
#s(approx (* 2 (/ x s)) #s(hole binary32 (* 2 (/ x s))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* 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 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -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 (pow (exp -1/2) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1/2) (/ x s)) #s(hole binary32 (+ 1 (* -1/2 (/ x s)))))
#s(approx (pow (exp -1/2) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (pow (exp -1/2) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (* (sqrt (/ (* (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1)) (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))) (/ 1 (- (exp (neg (* 2 (/ x s)))) 1)))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (sqrt (/ (- (exp (* -2 (/ x s))) 1) (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (neg (* 2 (/ x s)))) 1))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (/ (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (neg (* 2 (/ x s)))) 1)) (- (exp (* -2 (/ x s))) 1))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (- (exp (neg (* 2 (/ x s)))) 1)))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))))
#s(approx (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (pow (exp -2) (/ x s)) #s(hole binary32 (exp (* -2 (/ x s)))))
#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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (neg (* 2 (/ x s)))) 1)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (neg (* 2 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (* -1 (/ x s))) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (/ (- (pow (exp (* -1/2 (/ x s))) 2) 1) (- (exp (neg (* 2 (/ x s)))) 1))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (/ (- (exp (neg (* 2 (/ x s)))) 1) (- (pow (exp (* -1/2 (/ x s))) 2) 1))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (- (exp (neg (* 2 (/ x s)))) 1)))
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#s(approx (pow (exp -1/2) (/ x s)) #s(hole binary32 (exp (* -1/2 (/ x s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (* (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (- (exp (* -2 (/ x s))) 1))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (sqrt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2))))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (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 (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (sqrt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (/ (- (pow (exp (* -1/2 (/ x s))) 2) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (pow (exp (* -1/2 (/ x s))) 2) 1))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
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#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 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)))
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#s(approx (pow (exp -2) (/ x s)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2)))))))
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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 (pow (exp -1/2) (/ x s)) #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 (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 1/2))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/2 x) (* 1/4 (/ (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3))) (pow x 2)))) s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (+ (* -1/2 x) (* 1/3 x)))) (+ (* -1/4 (/ (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3))) x)) (* 1/4 (/ (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3))) 2) (pow x 2))) (+ (* 1/4 (pow x 4)) (* 1/2 (* x (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3)))))))) (pow x 2))))) s)) (+ (* -1/2 x) (* 1/4 (/ (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3))) (pow x 2))))) s)))))
#s(approx (* (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2)) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (+ (* -1/2 x) (* 1/3 x)))) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 x) (* 1/3 x)))) (+ (* -1/3 (pow x 2)) (* 1/6 (pow x 2)))))) (+ (* -1/2 (/ (* (+ (* -1/2 x) (* 1/3 x)) (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3)))) x)) (+ (* -1/4 (/ (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3))) 2) (pow x 2))) (+ (* 1/4 (pow x 4)) (* 1/2 (* x (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3)))))))) x)) (* 1/4 (/ (- (* 1/2 (+ (* 1/12 (pow x 5)) (+ (* 1/3 (pow x 5)) (* 4/3 (pow x 5))))) (+ (* 1/4 (* (pow x 2) (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3))))) (+ (* 1/2 (* x (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* 1/4 (pow x 4)) (* 1/2 (* x (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3))))))))) (+ (* 1/2 (* (pow x 2) (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))) (* 1/2 (/ (* (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3))) 2) (pow x 2))) (+ (* 1/4 (pow x 4)) (* 1/2 (* x (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3)))))))) (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3)))) (pow x 2))))))) (pow x 2)))))) s)) (+ (* -1/4 (/ (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3))) x)) (* 1/4 (/ (- (* 1/2 (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) (+ (* 1/4 (/ (pow (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3))) 2) (pow x 2))) (+ (* 1/4 (pow x 4)) (* 1/2 (* x (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3)))))))) (pow x 2)))))) s)) (+ (* -1/2 x) (* 1/4 (/ (- (* 1/2 (+ (* 2 (pow x 3)) (pow x 3))) (* 1/2 (pow x 3))) (pow x 2))))) s)))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1/2 (/ (- (* 1/2 x) (* 1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/2 (/ (- (* 1/3 (pow x 2)) (+ (* 1/8 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* 1/2 x) (* 1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (* 1/4 (/ (pow (- (* 1/2 x) (* 1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) 2) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2)))) (* 1/2 (/ (- (* 1/2 x) (* 1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (sqrt 1/2)))) s)))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* 1/8 (/ (+ (* 2 (* x (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))) (+ (* 8/3 (pow x 4)) (pow x 4))) x)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* 1/3 (pow x 2)) (+ (* 1/8 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x)) (* 1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* 1/2 x) (* 1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x))))) x)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) (- (* 1/2 x) (* 1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (* 1/2 (/ (* (- (* 1/3 (pow x 2)) (+ (* 1/8 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* 1/2 x) (* 1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (* 1/4 (/ (pow (- (* 1/2 x) (* 1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) 2) (pow (sqrt 1/2) 2)))))) (- (* 1/2 x) (* 1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) (pow (sqrt 1/2) 2))))))) (* s (sqrt 1/2)))) (* 1/2 (/ (- (* 1/3 (pow x 2)) (+ (* 1/8 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (- (* 1/2 x) (* 1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)))) x)) (* 1/4 (/ (pow (- (* 1/2 x) (* 1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) 2) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)))) s)) (* 1/2 (/ (- (* 1/2 x) (* 1/8 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (sqrt 1/2)))) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x)) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x)) (+ (* 4/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x))))) s)) (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* 2 x)) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2 (* x (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))) (+ (* 8/3 (pow x 4)) (pow x 4))) x)) (+ (* 2/3 (* (pow x 2) (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x)))) (+ (* 2/3 (pow x 3)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x)) (+ (* 4/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x))))))))) s)) (* 1/2 (/ (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))) x))) (+ (* 4/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x)) (* 2 x))))) s)) (* 1/2 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) x))) (* 2 x)) s)))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 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 (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (- (pow x 2) (* 1/2 (pow x 2))) s))) s))))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2))))))) s)) (pow x 2)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (/ (- (pow (exp -2) (/ x s)) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (+ (* 1/2 (* x (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))) s)) (* 2/3 (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2))))))) s)) (pow x 2)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (pow (exp -2) (/ x s)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (pow (exp -2) (/ x s)) 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 (pow (exp -2) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s)))))
#s(approx (pow (exp -2) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 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 (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1/2 (/ (- (* 1/4 x) (* 1/2 x)) (* s (sqrt 1/2)))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/2 (/ (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (* s (sqrt 1/2)))) (* 1/2 (/ (- (* 1/4 x) (* 1/2 x)) (sqrt 1/2)))) s)))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (* (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (- (* 1/4 x) (* 1/2 x))) (pow (sqrt 1/2) 2))) (+ (* 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 (sqrt 1/2)))) (* 1/2 (/ (- (* 1/12 (pow x 2)) (+ (* 1/4 (/ (pow (- (* 1/4 x) (* 1/2 x)) 2) (pow (sqrt 1/2) 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x)))))) (sqrt 1/2)))) s)) (* 1/2 (/ (- (* 1/4 x) (* 1/2 x)) (sqrt 1/2)))) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ 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 (* -1 (/ x s))) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (* -1 (/ 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 (* -1 (/ 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))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) x)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)))))) (+ (* 2 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) x)) (/ (* (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) (- (* 2 x) x)) x)))) s)) (* 4/3 (pow x 2))) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) x)))) s)) (* 2 x)) x) s)))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* -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 (* -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)) (pow (exp -1) (/ (/ x s) 2))) -1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))) s)) (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (pow (exp -1/2) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))))
#s(approx (pow (exp -1/2) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))))
Outputs
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#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 (*.f32 (*.f32 x x) x) s) (*.f32 #s(literal 2 binary32) (*.f32 x x))) s) (*.f32 #s(literal 2 binary32) x)) s)))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s) (*.f32 #s(literal 4/3 binary32) (*.f32 (*.f32 x x) x))) s) (*.f32 #s(literal 2 binary32) (*.f32 x x))) s) (*.f32 #s(literal 2 binary32) x)) s)))
#s(approx (pow (exp -2) (/ x s)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) x)) s))))
#s(approx (pow (exp -2) (/ x s)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 (*.f32 (*.f32 x x) x) s) (*.f32 #s(literal 2 binary32) (*.f32 x x))) s) (*.f32 #s(literal 2 binary32) x)) s))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))) s))))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 1/2 binary32) x)) s))))
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 (*.f32 x x) x) s) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (*.f32 #s(literal 1/2 binary32) x)) s))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (+.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x #s(literal -1/4 binary32))) (*.f32 s (sqrt.f32 #s(literal 1/2 binary32))))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 x (*.f32 x #s(literal -1/4 binary32)))))) (*.f32 s (sqrt.f32 #s(literal 1/2 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal -1/4 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))) s))))
#s(approx (pow (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) -1/2) (-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) x))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 x (*.f32 x #s(literal -1/4 binary32)))))) (*.f32 x #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) (-.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/4 binary32))) (*.f32 (*.f32 #s(literal -1 binary32) x) (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 x (*.f32 x #s(literal -1/4 binary32))))))))) (*.f32 s (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 x (*.f32 x #s(literal -1/4 binary32)))))) (sqrt.f32 #s(literal 1/2 binary32))))) s) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal -1/4 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))) s))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) s) (/.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) x)))) s)) (-.f32 (*.f32 #s(literal 2 binary32) x) x)) s))))
#s(approx (/ (- (exp (+ (* -1 (/ x s)) (* -1 (/ x s)))) 1) (- (exp (* -1 (/ x s))) 1)) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) x)) (fma.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (-.f32 (*.f32 #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 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) x))))))))) s) (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) x)))))) s) (-.f32 (*.f32 #s(literal 2 binary32) x) x)) s))))
#s(approx (- (exp (* -1 (/ x s))) 1) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))) s)))
#s(approx (- (exp (* -1 (/ x s))) 1) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) x) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s)))
#s(approx (- (exp (* -1 (/ x s))) 1) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) x))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s)))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal -1/4 binary32)) s))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)) x)) s) (/.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 x (*.f32 x #s(literal -1/4 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 #s(literal 1/2 binary32) x)) s))))
#s(approx (/ 1 (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/192 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 7/192 binary32))) x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) x))) (-.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 x x)) (*.f32 x #s(literal -1/4 binary32))) (*.f32 (*.f32 #s(literal -1 binary32) x) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)) x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 x (*.f32 x #s(literal -1/4 binary32)))))))) s) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)) x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 x (*.f32 x #s(literal -1/4 binary32)))))) s) (*.f32 x #s(literal -1/4 binary32))) s))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) x)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)) x))) s)) (-.f32 (*.f32 #s(literal 2 binary32) x) x)) s))))
#s(approx (/ (- (exp (- 0 (* 2 (/ x s)))) 1) (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1)) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) x)) (+.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) x)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)) x)))) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/192 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 7/192 binary32))) x))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)) (-.f32 (*.f32 #s(literal 2 binary32) x) x)) x))) s) (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) x) x)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)) x))))) s) (-.f32 (*.f32 #s(literal 2 binary32) x) x)) s))))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) x)) s)))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 (*.f32 (*.f32 x x) x) s) (*.f32 #s(literal 2 binary32) (*.f32 x x))) s) (*.f32 #s(literal 2 binary32) x)) s)))
#s(approx (- (exp (- 0 (* 2 (/ x s)))) 1) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s) (*.f32 #s(literal 4/3 binary32) (*.f32 (*.f32 x x) x))) s) (*.f32 #s(literal 2 binary32) (*.f32 x x))) s) (*.f32 #s(literal 2 binary32) x)) s)))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))) s)))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s)))
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) -1) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 x (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/192 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 7/192 binary32))) s) (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s)))
#s(approx (pow (exp -1/2) (/ x s)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 1/2 binary32) x)) s))))
#s(approx (pow (exp -1/2) (/ x s)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 (*.f32 x x) x) s) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (*.f32 #s(literal 1/2 binary32) x)) s))))

eval53.0ms (1.5%)

Memory
12.2MiB live, 103.4MiB allocated; 9ms collecting garbage
Compiler

Compiled 31 688 to 2 354 computations (92.6% saved)

prune670.0ms (18.5%)

Memory
-237.9MiB live, 142.6MiB allocated; 997ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New4250425
Fresh000
Picked022
Done033
Total4255430
Accuracy
99.9%
Counts
430 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(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))
✓99.8%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
✓46.2%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.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))))
✓46.6%
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.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)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
✓99.8%
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) #s(literal -1 binary32)))
Compiler

Compiled 415 to 148 computations (64.3% saved)

regimes21.0ms (0.6%)

Memory
-9.9MiB live, 37.3MiB allocated; 3ms collecting garbage
Accuracy

Total -17.2b remaining (-27027.6%)

Threshold costs -17.2b (-27027.6%)

Counts
10 → 1
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.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)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (expm1.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (expm1.f32 (*.f32 #s(literal -1 binary32) (/.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))))
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.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) (/.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal -1 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 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))
Outputs
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) #s(literal -1 binary32)))
Calls

7 calls:

4.0ms
s
3.0ms
x
3.0ms
(neg.f32 x)
3.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
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)

simplify12.0ms (0.3%)

Memory
-34.6MiB live, 15.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) #s(literal -1 binary32)))
Outputs
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) #s(literal -1 binary32)))

derivations25.0ms (0.7%)

Memory
31.0MiB live, 31.0MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 10 to 9 computations (10% saved)

preprocess9.0ms (0.3%)

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

Compiled 38 to 34 computations (10.5% saved)

end0.0ms (0%)

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

Profiling

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