Logistic function

Time bar (total: 4.2s)

start0.0ms (0%)

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

analyze34.0ms (0.8%)

Memory
19.7MiB live, 61.9MiB allocated; 11ms 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)

sample967.0ms (23.2%)

Memory
6.9MiB live, 1 039.0MiB allocated; 301ms collecting garbage
Samples
703.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 538.0ms
ival-div!: 282.0ms (52.4% of total)
ival-neg: 128.0ms (23.8% of total)
ival-exp: 106.0ms (19.7% of total)
ival-add!: 21.0ms (3.9% of total)
adjust: 1.0ms (0.2% of total)
ival-<=: 1.0ms (0.2% of total)
ival-and: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain87.0ms (2.1%)

Memory
-7.4MiB live, 230.9MiB allocated; 12ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
04(-7.699315806330687e-34 5.077277148902649e-36)0-(exp.f32 (/.f32 (neg.f32 x) s))
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
00-0-(neg.f32 x)
00-0-(/.f32 (neg.f32 x) s)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 x) s))sensitivity42
Confusion
Predicted +Predicted -
+00
-4252
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-42250
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0252
14
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
29.0ms512×0valid
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 (41.6% of total)
ival-exp: 5.0ms (29.7% of total)
ival-neg: 3.0ms (17.8% of total)
ival-add!: 1.0ms (5.9% of total)
adjust: 0.0ms (0% of total)

preprocess25.0ms (0.6%)

Memory
-3.5MiB live, 43.7MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02450
15950
211850
333550
4161950
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 18 to 16 computations (11.1% saved)

series10.0ms (0.2%)

Memory
28.1MiB live, 28.1MiB allocated; 0ms collecting garbage
Counts
8 → 31
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Calls

6 calls:

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

rewrite236.0ms (5.7%)

Memory
2.2MiB live, 289.0MiB allocated; 30ms 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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (*.f32 #s(literal 2 binary32) (neg.f32 x)) (*.f32 #s(literal 2 binary32) s))
(/.f32 (*.f32 x #s(literal 1 binary32)) (neg.f32 s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(neg.f32 (*.f32 (/.f32 x s) #s(literal 1 binary32)))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)))
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 (*.f32 x #s(literal 1 binary32)))
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx x x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx s s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))))
#s(approx (exp (/ (neg x) s)) (-.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))

eval6.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 381 to 355 computations (74.3% saved)

prune20.0ms (0.5%)

Memory
-33.9MiB live, 13.2MiB allocated; 2ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New63972
Fresh000
Picked011
Done000
Total631073
Accuracy
99.9%
Counts
73 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.9%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
▶50.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶37.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
99.3%
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
▶99.9%
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
27.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶33.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 295 to 232 computations (21.4% saved)

series110.0ms (2.6%)

Memory
13.8MiB live, 248.3MiB allocated; 21ms collecting garbage
Counts
30 → 133
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))
(/.f32 x (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(expm1.f32 (/.f32 (neg.f32 x) s))
Outputs
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 2))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (* (/ x (* s s)) 1/2) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (pow s 2))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))))
Calls

6 calls:

TimeVariablePointExpression
40.0ms
x
@inf
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))
30.0ms
x
@-inf
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))
19.0ms
s
@0
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))
7.0ms
s
@inf
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))
6.0ms
x
@0
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1))

rewrite189.0ms (4.5%)

Memory
16.2MiB live, 303.5MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06964284
07323816
143993812
083283668
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
163 → 268
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))
(/.f32 x (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(expm1.f32 (/.f32 (neg.f32 x) s))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 2))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (* (/ x (* s s)) 1/2) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (pow s 2))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))))
Outputs
(/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
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(-.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
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#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s)) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/12 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) x) (*.f32 x x)) #s(literal 2/3 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) x)))) s))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 4/3 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2/3 binary32)) (fma.f32 #s(literal 1/12 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 2 binary32) x) x) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))))))) s))) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) x)) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -4/3 binary32) (*.f32 (*.f32 x x) #s(literal 2 binary32))) s))) s)))
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal -2/3 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4/3 binary32))) s))) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal -1/24 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) s))) s) #s(literal -1 binary32) x) s)))

eval26.0ms (0.6%)

Memory
-18.5MiB live, 74.4MiB allocated; 6ms collecting garbage
Compiler

Compiled 7 329 to 1 429 computations (80.5% saved)

prune13.0ms (0.3%)

Memory
-7.7MiB live, 39.3MiB allocated; 1ms collecting garbage
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New26015275
Fresh314
Picked415
Done011
Total26718285
Accuracy
100.0%
Counts
285 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))
▶99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶38.8%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
50.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
50.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
52.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
37.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
50.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
37.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
▶31.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
32.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
▶37.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
18.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
24.3%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
▶27.1%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
67.0%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
✓33.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 968 to 694 computations (28.3% saved)

series139.0ms (3.3%)

Memory
31.1MiB live, 128.1MiB allocated; 6ms collecting garbage
Counts
46 → 176
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))
#s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
(/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)
(fma.f32 #s(literal 2 binary32) s (neg.f32 x))
#s(literal 2 binary32)
(neg.f32 x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))
(/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))
(fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))
(neg.f32 s)
(*.f32 (*.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))
(/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s)
(-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x)
(fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s)))
(neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))
(/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s)
(-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(*.f32 #s(literal 4/3 binary32) (*.f32 x x))
#s(literal 4/3 binary32)
(fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))
(*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x)
(-.f32 (*.f32 #s(literal 2 binary32) x) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 1/3 binary32) (*.f32 x x))
#s(literal 1/3 binary32)
Outputs
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 2))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 2))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 2))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* 2 s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s x))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* x (+ (* -1 s) (* 1/2 x)))))
#s(approx (* (* x x) 1/2) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (/ x s)))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 x))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s))))))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (* 2 x)))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (* x (+ 2 (* -1/2 (/ x s))))))
#s(approx (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s) #s(hole binary32 (* 1/2 (/ (pow x 2) s))))
#s(approx (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* 4/3 (* x x)) #s(hole binary32 (* 4/3 (pow x 2))))
#s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x))) #s(hole binary32 (* 5/6 (pow x 2))))
#s(approx (* (- (* 2 x) x) x) #s(hole binary32 (pow x 2)))
#s(approx (- (* 2 x) x) #s(hole binary32 x))
#s(approx (* 2 x) #s(hole binary32 (* 2 x)))
#s(approx (* 1/3 (* x x)) #s(hole binary32 (* 1/3 (pow x 2))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 x)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (* (pow x 2) (- (* 2 (/ 1 x)) (* 1/2 (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (- (* 2 s) x)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2)))))
#s(approx (neg s) #s(hole binary32 (* -1 s)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* -1 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (* s (- (* 2 x) x))) (* -1 (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))))) (pow s 2))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2)))) (* s (+ (* -1 (- (* 2 x) x)) (* 2 s)))) (pow s 2))))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2))))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* s (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2))))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) s)))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* s (- (* 2 x) x)))) (* 4/3 (pow x 2))) s)))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) s)))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (* s x)))) (* 4/3 (pow x 2))) s)))
#s(approx (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) s)))
#s(approx (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s) #s(hole binary32 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ 1 (+ 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 (+ (* 2 s) (neg x)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ (- (* 2 x) x) s)) (* -1 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2)))))))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (/ (- (* 2 x) x) s)))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (/ (- (+ (* 1/3 (/ (pow x 2) s)) (+ (* 1/2 (/ (* x (- (* 2 x) x)) s)) (* 2 x))) (+ x (* 4/3 (/ (pow x 2) s)))) s)))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (- (* 2 x) x)))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (- (+ (* 1/3 (/ (pow x 2) s)) (+ (* 1/2 (/ (* x (- (* 2 x) x)) s)) (* 2 x))) (+ x (* 4/3 (/ (pow x 2) s))))))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (- (+ (* 1/3 (/ (pow x 2) s)) (+ (* 1/2 (/ (* x (- (* 2 x) x)) s)) (* 2 x))) (* 4/3 (/ (pow x 2) s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (+ 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 (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #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 (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (* -1 (/ (- (+ (* -1 (- (* 2 x) x)) (* 4/3 (/ (pow x 2) s))) (+ (* 1/3 (/ (pow x 2) s)) (* 1/2 (/ (* x (- (* 2 x) x)) s)))) s))))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x)))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x))))
#s(approx (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) #s(hole binary32 (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s))))
Calls

6 calls:

TimeVariablePointExpression
99.0ms
x
@inf
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (neg s) (* (* x x) 1/2) (* x x) (* s s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s) (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) (* 4/3 (* x x)) 4/3 (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x))) (* (- (* 2 x) x) x) (- (* 2 x) x) (* 2 x) (* 1/3 (* x x)) 1/3)
13.0ms
s
@0
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (neg s) (* (* x x) 1/2) (* x x) (* s s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s) (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) (* 4/3 (* x x)) 4/3 (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x))) (* (- (* 2 x) x) x) (- (* 2 x) x) (* 2 x) (* 1/3 (* x x)) 1/3)
6.0ms
x
@-inf
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (neg s) (* (* x x) 1/2) (* x x) (* s s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s) (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) (* 4/3 (* x x)) 4/3 (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x))) (* (- (* 2 x) x) x) (- (* 2 x) x) (* 2 x) (* 1/3 (* x x)) 1/3)
6.0ms
x
@0
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (neg s) (* (* x x) 1/2) (* x x) (* s s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s) (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) (* 4/3 (* x x)) 4/3 (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x))) (* (- (* 2 x) x) x) (- (* 2 x) x) (* 2 x) (* 1/3 (* x x)) 1/3)
5.0ms
s
@-inf
((/ 1 (+ 1 (pow (exp -1) (/ x s)))) 1 (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (neg s) (* (* x x) 1/2) (* x x) (* s s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s) (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) (* 4/3 (* x x)) 4/3 (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x))) (* (- (* 2 x) x) x) (- (* 2 x) x) (* 2 x) (* 1/3 (* x x)) 1/3)

rewrite1.2s (27.7%)

Memory
-213.7MiB live, 396.6MiB allocated; 1.4s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06706449
07235996
139215992
087075736
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
222 → 428
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))
#s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
(/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)
(fma.f32 #s(literal 2 binary32) s (neg.f32 x))
#s(literal 2 binary32)
(neg.f32 x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))
(/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))
(fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))
(neg.f32 s)
(*.f32 (*.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))
(/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s)
(-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x)
(fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s)))
(neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))
(/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s)
(-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(*.f32 #s(literal 4/3 binary32) (*.f32 x x))
#s(literal 4/3 binary32)
(fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))
(*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x)
(-.f32 (*.f32 #s(literal 2 binary32) x) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 1/3 binary32) (*.f32 x x))
#s(literal 1/3 binary32)
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 2))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 2))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 2))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* 2 s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s x))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* x (+ (* -1 s) (* 1/2 x)))))
#s(approx (* (* x x) 1/2) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (/ x s)))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 x))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s))))))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (* 2 x)))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (* x (+ 2 (* -1/2 (/ x s))))))
#s(approx (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s) #s(hole binary32 (* 1/2 (/ (pow x 2) s))))
#s(approx (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* 4/3 (* x x)) #s(hole binary32 (* 4/3 (pow x 2))))
#s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x))) #s(hole binary32 (* 5/6 (pow x 2))))
#s(approx (* (- (* 2 x) x) x) #s(hole binary32 (pow x 2)))
#s(approx (- (* 2 x) x) #s(hole binary32 x))
#s(approx (* 2 x) #s(hole binary32 (* 2 x)))
#s(approx (* 1/3 (* x x)) #s(hole binary32 (* 1/3 (pow x 2))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (/ x s))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 x)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (* (pow x 2) (- (* 2 (/ 1 x)) (* 1/2 (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x)))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (- (* 2 s) x)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2)))))
#s(approx (neg s) #s(hole binary32 (* -1 s)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* -1 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (* s (- (* 2 x) x))) (* -1 (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))))) (pow s 2))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2)))) (* s (+ (* -1 (- (* 2 x) x)) (* 2 s)))) (pow s 2))))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2))))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* s (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2))))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) s)))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* s (- (* 2 x) x)))) (* 4/3 (pow x 2))) s)))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) s)))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (+ (* 1/2 (* x (- (* 2 x) x))) (* 2 (* s x)))) (* 4/3 (pow x 2))) s)))
#s(approx (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) s)))
#s(approx (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s) #s(hole binary32 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ 1 (+ 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 (+ (* 2 s) (neg x)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ (- (* 2 x) x) s)) (* -1 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2)))))))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (/ (- (* 2 x) x) s)))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (/ (- (+ (* 1/3 (/ (pow x 2) s)) (+ (* 1/2 (/ (* x (- (* 2 x) x)) s)) (* 2 x))) (+ x (* 4/3 (/ (pow x 2) s)))) s)))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (- (* 2 x) x)))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (- (+ (* 1/3 (/ (pow x 2) s)) (+ (* 1/2 (/ (* x (- (* 2 x) x)) s)) (* 2 x))) (+ x (* 4/3 (/ (pow x 2) s))))))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (- (+ (* 1/3 (/ (pow x 2) s)) (+ (* 1/2 (/ (* x (- (* 2 x) x)) s)) (* 2 x))) (* 4/3 (/ (pow x 2) s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (+ 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 (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #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 (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) #s(hole binary32 (* -1 (/ (- (+ (* -1 (- (* 2 x) x)) (* 4/3 (/ (pow x 2) s))) (+ (* 1/3 (/ (pow x 2) s)) (* 1/2 (/ (* x (- (* 2 x) x)) s)))) s))))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) #s(hole binary32 (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x)))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) #s(hole binary32 (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x))))
#s(approx (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) #s(hole binary32 (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s))))
Outputs
(/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))
(fma.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(*.f32 (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
(*.f32 (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 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(pow.f32 (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 -1 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.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)))
(+.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
x
s
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 2 binary32))) (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/8 binary32))) (+.f32 (pow.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))))
(/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))))
(-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)))
(+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
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#s(approx (+ (* -1 (/ x s)) 2) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x))))
#s(approx (/ (+ (* 2 s) (neg x)) s) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x))))
#s(approx (+ (* 2 s) (neg x)) (*.f32 (neg.f32 x) (fma.f32 (/.f32 s x) #s(literal -2 binary32) #s(literal 1 binary32))))
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#s(approx s s)
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#s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
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#s(approx (neg s) (neg.f32 s))
#s(approx (* s s) (*.f32 s s))
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#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
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#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s)) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/12 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (fma.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) x) (*.f32 x x)) #s(literal 2/3 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) x)))) s))) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* 2 s) (neg x)) (*.f32 (neg.f32 s) (-.f32 (/.f32 x s) #s(literal 2 binary32))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) (neg.f32 s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal 4/3 binary32) x) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(literal 1/12 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 2 binary32) x) x) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))))))) s))) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) (neg.f32 s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 4/3 binary32) (neg.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x))) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/3 binary32)))) s)))
#s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (-.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) (neg.f32 s))) x))
#s(approx (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) (fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) (neg.f32 s))))
#s(approx (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) (neg.f32 s)))

eval47.0ms (1.1%)

Memory
35.6MiB live, 133.8MiB allocated; 13ms collecting garbage
Compiler

Compiled 20 001 to 2 767 computations (86.2% saved)

prune24.0ms (0.6%)

Memory
-28.3MiB live, 65.1MiB allocated; 3ms collecting garbage
Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New40715422
Fresh4711
Picked145
Done022
Total41228440
Accuracy
100.0%
Counts
440 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) #s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x))) (*.f32 #s(literal 5/6 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
30.9%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 4/3 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) s)))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
50.5%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x #s(approx (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
30.8%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 #s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/3 binary32) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) x))) (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 4/3 binary32) x))) s) #s(literal -1 binary32) #s(literal 2 binary32))))
50.9%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 #s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
32.2%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
▶20.0%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))))))
50.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
52.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
37.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
50.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
37.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
14.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (neg.f32 s) x) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))))))
✓31.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
▶31.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
30.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))))
31.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s)))))
▶23.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
18.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s)))))
✓37.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
✓27.1%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶67.0%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
▶7.4%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
26.9%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
✓33.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 2 104 to 1 396 computations (33.7% saved)

series38.0ms (0.9%)

Memory
-1.2MiB live, 96.1MiB allocated; 6ms collecting garbage
Counts
47 → 153
Calls
Call 1
Inputs
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))
(expm1.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
#s(literal -2 binary32)
(/.f32 x s)
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))
(/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x))
(*.f32 (neg.f32 s) x)
(neg.f32 s)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s)))
(/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s))
(fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x))
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))))
(neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s)))
(/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))
(-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32)))
(fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))
(*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x)
(-.f32 (*.f32 #s(literal 2 binary32) x) x)
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
(*.f32 (*.f32 x x) #s(literal 1/3 binary32))
(*.f32 x x)
#s(literal 1/3 binary32)
(*.f32 (*.f32 x x) #s(literal 4/3 binary32))
#s(literal 4/3 binary32)
Outputs
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 1/2))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (/ (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 (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (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 (- (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 (* -2 (/ x s)) #s(hole binary32 (* -2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s x))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* x (+ (* -1 s) (* 1/2 x)))))
#s(approx (* (neg s) x) #s(hole binary32 (* -1 (* s x))))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (* -1 (* s x))))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (* x (+ (* -1 s) (* 1/2 x)))))
#s(approx (* 1/2 x) #s(hole binary32 (* 1/2 x)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (neg (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s))) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s)) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) #s(hole binary32 (* -1/2 (pow x 2))))
#s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) #s(hole binary32 (* 5/6 (pow x 2))))
#s(approx (* (- (* 2 x) x) x) #s(hole binary32 (pow x 2)))
#s(approx (- (* 2 x) x) #s(hole binary32 x))
#s(approx (* 2 x) #s(hole binary32 (* 2 x)))
#s(approx (* (* x x) 1/3) #s(hole binary32 (* 1/3 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (* x x) 4/3) #s(hole binary32 (* 4/3 (pow x 2))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x))))))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2)))))
#s(approx (neg s) #s(hole binary32 (* -1 s)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* -1 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (* s (- (* 2 x) x))) (* -1 (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))))) (pow s 2))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2)))) (* s (+ (* -1 (- (* 2 x) x)) (* 2 s)))) (pow s 2))))
#s(approx (neg (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s))) #s(hole binary32 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) (pow s 2))))
#s(approx (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s)) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (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 (- (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 (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ (- (* 2 x) x) s)) (* -1 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (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 (- (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 (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #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)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (- (exp (/ (neg x) s)) 1) (/ (neg x) s) (neg x) x s (- (exp (* -2 (/ x s))) 1) (* -2 (/ x s)) -2 (/ x s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (* (neg s) x) (neg s) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (+ (* x (* 1/2 x)) (* (neg s) x)) (* 1/2 x) 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s))) (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s)) (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (- (* 2 x) x) x) (- (* 2 x) x) (* 2 x) 2 (* (* x x) 1/3) (* x x) 1/3 (* (* x x) 4/3) 4/3)
6.0ms
x
@inf
((/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (- (exp (/ (neg x) s)) 1) (/ (neg x) s) (neg x) x s (- (exp (* -2 (/ x s))) 1) (* -2 (/ x s)) -2 (/ x s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (* (neg s) x) (neg s) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (+ (* x (* 1/2 x)) (* (neg s) x)) (* 1/2 x) 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s))) (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s)) (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (- (* 2 x) x) x) (- (* 2 x) x) (* 2 x) 2 (* (* x x) 1/3) (* x x) 1/3 (* (* x x) 4/3) 4/3)
5.0ms
s
@-inf
((/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (- (exp (/ (neg x) s)) 1) (/ (neg x) s) (neg x) x s (- (exp (* -2 (/ x s))) 1) (* -2 (/ x s)) -2 (/ x s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (* (neg s) x) (neg s) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (+ (* x (* 1/2 x)) (* (neg s) x)) (* 1/2 x) 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s))) (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s)) (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (- (* 2 x) x) x) (- (* 2 x) x) (* 2 x) 2 (* (* x x) 1/3) (* x x) 1/3 (* (* x x) 4/3) 4/3)
5.0ms
x
@0
((/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (- (exp (/ (neg x) s)) 1) (/ (neg x) s) (neg x) x s (- (exp (* -2 (/ x s))) 1) (* -2 (/ x s)) -2 (/ x s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (* (neg s) x) (neg s) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (+ (* x (* 1/2 x)) (* (neg s) x)) (* 1/2 x) 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s))) (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s)) (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (- (* 2 x) x) x) (- (* 2 x) x) (* 2 x) 2 (* (* x x) 1/3) (* x x) 1/3 (* (* x x) 4/3) 4/3)
5.0ms
s
@0
((/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (- (exp (/ (neg x) s)) 1) (/ (neg x) s) (neg x) x s (- (exp (* -2 (/ x s))) 1) (* -2 (/ x s)) -2 (/ x s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (* (neg s) x) (neg s) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (+ (* x (* 1/2 x)) (* (neg s) x)) (* 1/2 x) 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s))) (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s)) (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (- (* 2 x) x) x) (- (* 2 x) x) (* 2 x) 2 (* (* x x) 1/3) (* x x) 1/3 (* (* x x) 4/3) 4/3)

rewrite194.0ms (4.6%)

Memory
45.5MiB live, 324.3MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06775772
07305296
140895290
093395025
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
200 → 358
Calls
Call 1
Inputs
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))
(expm1.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
#s(literal -2 binary32)
(/.f32 x s)
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))
(/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x))
(*.f32 (neg.f32 s) x)
(neg.f32 s)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s)))
(/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s))
(fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x))
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))))
(neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s)))
(/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))
(-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32)))
(fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))
(*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x)
(-.f32 (*.f32 #s(literal 2 binary32) x) x)
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
(*.f32 (*.f32 x x) #s(literal 1/3 binary32))
(*.f32 x x)
#s(literal 1/3 binary32)
(*.f32 (*.f32 x x) #s(literal 4/3 binary32))
#s(literal 4/3 binary32)
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 1/2))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (/ (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 (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* -2 (/ x s))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- (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 (- (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 (* -2 (/ x s)) #s(hole binary32 (* -2 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s x))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* x (+ (* -1 s) (* 1/2 x)))))
#s(approx (* (neg s) x) #s(hole binary32 (* -1 (* s x))))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (* -1 (* s x))))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (* x (+ (* -1 s) (* 1/2 x)))))
#s(approx (* 1/2 x) #s(hole binary32 (* 1/2 x)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 2))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (neg (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s))) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s)) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) #s(hole binary32 (* -1/2 (pow x 2))))
#s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) #s(hole binary32 (* 5/6 (pow x 2))))
#s(approx (* (- (* 2 x) x) x) #s(hole binary32 (pow x 2)))
#s(approx (- (* 2 x) x) #s(hole binary32 x))
#s(approx (* 2 x) #s(hole binary32 (* 2 x)))
#s(approx (* (* x x) 1/3) #s(hole binary32 (* 1/3 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (* x x) 4/3) #s(hole binary32 (* 4/3 (pow x 2))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1)))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1)))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x))))))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2)))))
#s(approx (neg s) #s(hole binary32 (* -1 s)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (* -1 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (* s (- (* 2 x) x))) (* -1 (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))))) (pow s 2))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2)))) (* s (+ (* -1 (- (* 2 x) x)) (* 2 s)))) (pow s 2))))
#s(approx (neg (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s))) #s(hole binary32 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) (pow s 2))))
#s(approx (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s)) #s(hole binary32 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)))
#s(approx (- (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 (- (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 (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2)))))))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ (- (* 2 x) x) s)) (* -1 (/ (- (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))) (* 4/3 (pow x 2))) (pow s 2)))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))))
#s(approx (- (exp (* -2 (/ x s))) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- (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 (- (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 (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (+ (* x (* 1/2 x)) (* (neg s) x)) #s(hole binary32 (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s)))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #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)))))
Outputs
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))) (neg.f32 (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(expm1.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(expm1.f32 (/.f32 (neg.f32 x) s))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 0 binary32))))))
(/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) s)
(-.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)) (/.f32 (neg.f32 x) s))
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 2 binary32)) (*.f32 x x)) (fma.f32 #s(literal -2 binary32) x (neg.f32 x)))
(/.f32 (-.f32 (*.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (neg.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 2 binary32)) (fma.f32 x x (*.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 x)))))
(-.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 x))
(fma.f32 #s(literal -2 binary32) x (*.f32 #s(literal 1 binary32) x))
(fma.f32 x #s(literal -2 binary32) (*.f32 #s(literal 1 binary32) x))
(+.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal 1 binary32) x))
(neg.f32 x)
x
s
(expm1.f32 (*.f32 (log.f32 (exp.f32 #s(literal -2 binary32))) (/.f32 x s)))
(expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))
(/.f32 (expm1.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)) #s(literal 2 binary32))) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/.f32 (expm1.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)) #s(literal 3 binary32))) (+.f32 (exp.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 x s) #s(literal -2 binary32) #s(literal 0 binary32))))))
(-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) #s(literal 1 binary32))
(*.f32 (/.f32 x s) #s(literal -2 binary32))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
#s(literal -2 binary32)
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 (*.f32 #s(literal 1/4 binary32) x) s)
(-.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
#s(literal 1/4 binary32)
(/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))) #s(literal -1 binary32)))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))
(/.f32 (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) s) s)
(/.f32 (neg.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x))) (neg.f32 (*.f32 s s)))
(/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x))
(*.f32 (*.f32 s x) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 s x))
(*.f32 (neg.f32 s) x)
(*.f32 x (neg.f32 s))
(neg.f32 (*.f32 s x))
(*.f32 #s(literal -1 binary32) s)
(*.f32 s #s(literal -1 binary32))
(neg.f32 s)
(*.f32 (neg.f32 (fabs.f32 s)) (neg.f32 (fabs.f32 s)))
(*.f32 (fabs.f32 (fabs.f32 s)) (fabs.f32 (fabs.f32 s)))
(*.f32 (exp.f32 (log.f32 s)) (exp.f32 (log.f32 s)))
(*.f32 (neg.f32 (neg.f32 s)) (neg.f32 (neg.f32 s)))
(*.f32 (fabs.f32 s) (fabs.f32 s))
(*.f32 (neg.f32 s) (neg.f32 s))
(*.f32 s s)
(/.f32 #s(literal 1 binary32) (pow.f32 s #s(literal -2 binary32)))
(pow.f32 (exp.f32 (log.f32 s)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 s) #s(literal 2 binary32))
(pow.f32 (*.f32 s s) #s(literal 1 binary32))
(pow.f32 (neg.f32 s) #s(literal 2 binary32))
(pow.f32 s #s(literal 2 binary32))
(fabs.f32 (*.f32 s s))
(+.f32 (cosh.f32 (*.f32 (log.f32 s) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 s) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 s) #s(literal 2 binary32)))
(/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s)))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s)))) #s(literal -1 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))
(/.f32 (fma.f32 (*.f32 (neg.f32 s) x) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (neg.f32 s) x))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s)
(/.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x)) (neg.f32 (*.f32 s s)))
(/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s))
(fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (*.f32 (neg.f32 s) x) (*.f32 s s)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (*.f32 (neg.f32 s) x) (*.f32 s s)))
(+.f32 (/.f32 (*.f32 (neg.f32 s) x) (*.f32 s s)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s s)))
(+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s s)) (/.f32 (*.f32 (neg.f32 s) x) (*.f32 s s)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x)
(*.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)))
(/.f32 (-.f32 (pow.f32 (*.f32 (neg.f32 s) x) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) #s(literal 2 binary32))) (-.f32 (*.f32 (neg.f32 s) x) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)))
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(*.f32 (*.f32 x x) #s(literal 4/3 binary32))
(*.f32 #s(literal 4/3 binary32) (*.f32 x x))
(*.f32 x (*.f32 x #s(literal 4/3 binary32)))
#s(literal 4/3 binary32)
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) #s(literal 1/2 binary32))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (neg.f32 x) s))
#s(approx (- (exp (/ (neg x) s)) 1) (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (- (exp (/ (neg x) s)) 1) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32))) x) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (- (exp (/ (neg x) s)) 1) (*.f32 (-.f32 (*.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 4 binary32))) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal -3 binary32)))) x (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32))) x) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx x x)
#s(approx (- (exp (* -2 (/ x s))) 1) (*.f32 (/.f32 x s) #s(literal -2 binary32)))
#s(approx (- (exp (* -2 (/ x s))) 1) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 x s) #s(literal 1 binary32)) s)) x))
#s(approx (- (exp (* -2 (/ x s))) 1) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 2 binary32))) x) (/.f32 #s(literal 2 binary32) s)) x))
#s(approx (- (exp (* -2 (/ x s))) 1) (*.f32 (-.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 x (pow.f32 s #s(literal 4 binary32))) (*.f32 #s(literal -4/3 binary32) (pow.f32 s #s(literal -3 binary32)))) x (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 2 binary32))) x) (/.f32 #s(literal 2 binary32) s)) x))
#s(approx (* -2 (/ x s)) (*.f32 (/.f32 x s) #s(literal -2 binary32)))
#s(approx (/ x s) (/.f32 x s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(literal 1/2 binary32))
#s(approx (+ (* (/ x s) 1/4) 1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (* (/ x s) 1/4) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(literal 2 binary32))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (/.f32 (neg.f32 x) s))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x))
#s(approx (* (neg s) x) (*.f32 (neg.f32 s) x))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (/.f32 (neg.f32 x) s))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x))
#s(approx (* 1/2 x) (*.f32 #s(literal 1/2 binary32) x))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(literal 2 binary32))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) #s(literal 2 binary32))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (neg (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s s)))
#s(approx (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 s s)))
#s(approx (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))
#s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (*.f32 #s(literal 5/6 binary32) (*.f32 x x)))
#s(approx (* (- (* 2 x) x) x) (*.f32 x x))
#s(approx (- (* 2 x) x) x)
#s(approx (* 2 x) (*.f32 #s(literal 2 binary32) x))
#s(approx (* (* x x) 1/3) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (* (* x x) 4/3) (*.f32 (*.f32 x x) #s(literal 4/3 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
#s(approx (- (exp (/ (neg x) s)) 1) (expm1.f32 (/.f32 (neg.f32 x) s)))
#s(approx (- (exp (* -2 (/ x s))) 1) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s s)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s s)))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (*.f32 (-.f32 (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 (/.f32 s x) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 x x)))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s s)))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (*.f32 (-.f32 (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 (/.f32 s x) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 x x)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s s)))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (*.f32 (-.f32 (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (*.f32 (-.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x))) (*.f32 x x)))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (*.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x))) (*.f32 x x)))
#s(approx s s)
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (*.f32 s s)))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x))
#s(approx (neg s) (neg.f32 s))
#s(approx (* s s) (*.f32 s s))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/.f32 (-.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (neg.f32 (*.f32 s s))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s (-.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))))) (*.f32 s s)))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x))) s (neg.f32 (-.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))))) (*.f32 s s)))
#s(approx (neg (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s))) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32)))) (*.f32 s s)))
#s(approx (/ (- (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (* (* x x) 4/3)) (* s s)) (/.f32 (-.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s)))) (/.f32 (*.f32 (neg.f32 x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s))) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 (*.f32 #s(literal 1/3 binary32) x) x (*.f32 (neg.f32 x) (*.f32 #s(literal 1/4 binary32) x)))) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 x x)) (pow.f32 s #s(literal 3 binary32))) #s(literal 2/3 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s))))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s))))))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (-.f32 (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s)))) (/.f32 (*.f32 (neg.f32 x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s))) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 (*.f32 #s(literal 1/3 binary32) x) x (*.f32 (neg.f32 x) (*.f32 #s(literal 1/4 binary32) x)))) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 x x)) (pow.f32 s #s(literal 3 binary32))) #s(literal 2/3 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s))))))))
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s))
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 s s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))) (neg.f32 x)) s))
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (fma.f32 #s(literal -1 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 s s)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 s #s(literal 3 binary32))) #s(literal 1/24 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))))) s))
#s(approx (- (exp (* -2 (/ x s))) 1) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) x)) s))
#s(approx (- (exp (* -2 (/ x s))) 1) (/.f32 (fma.f32 #s(literal -2 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 s s)) #s(literal -4/3 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 2 binary32)))) s))
#s(approx (- (exp (* -2 (/ x s))) 1) (/.f32 (fma.f32 #s(literal -2 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 s s)) #s(literal -4/3 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 s #s(literal 3 binary32))) #s(literal 2/3 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 2 binary32))))) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) (*.f32 s s)) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (/.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s s)))))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (-.f32 (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (*.f32 s s))) (/.f32 (neg.f32 x) s)) (fma.f32 (/.f32 (*.f32 (neg.f32 x) x) (*.f32 s s)) #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s)))))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (-.f32 (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 #s(literal -2/3 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (*.f32 s s)))) (/.f32 (neg.f32 x) s)) (fma.f32 (/.f32 (*.f32 (neg.f32 x) x) (*.f32 s s)) #s(literal -1/2 binary32) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 (neg.f32 x) x) #s(literal -1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/12 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s))))))))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (fma.f32 #s(literal -1 binary32) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s) (/.f32 (-.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))) #s(literal 2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s)) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/12 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) x) (*.f32 x x)) #s(literal 2/3 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) x)))) s))) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s)) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ (- (exp (/ (neg x) s)) 1) (- (exp (* -2 (/ x s))) 1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/12 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) x) (*.f32 x x)) #s(literal 2/3 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) x)))) s))) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) #s(literal -1 binary32) x) s)))
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal -1/24 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) s))) s) #s(literal -1 binary32) x) s)))
#s(approx (- (exp (* -2 (/ x s))) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) x)) s)))
#s(approx (- (exp (* -2 (/ x s))) 1) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -4/3 binary32) (*.f32 (*.f32 x x) #s(literal 2 binary32))) s))) s)))
#s(approx (- (exp (* -2 (/ x s))) 1) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal -2/3 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4/3 binary32))) s))) s))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x)))
#s(approx (/ (+ (* x (* 1/2 x)) (* (neg s) x)) (* s s)) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32)))) (neg.f32 s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal 4/3 binary32) x) x (neg.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2/3 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/12 binary32) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 2 binary32) x) x) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32)))))))) s))) (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 4/3 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32)))) (neg.f32 s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))

eval36.0ms (0.9%)

Memory
-6.3MiB live, 93.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 22 327 to 2 241 computations (90% saved)

prune27.0ms (0.7%)

Memory
-13.2MiB live, 81.5MiB allocated; 3ms collecting garbage
Pruning

31 alts after pruning (21 fresh and 10 done)

PrunedKeptTotal
New3724376
Fresh01717
Picked145
Done066
Total37331404
Accuracy
100.0%
Counts
404 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
✓99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) #s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x))) (*.f32 #s(literal 5/6 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
30.9%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 4/3 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) s)))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
50.5%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x #s(approx (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
30.8%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 #s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/3 binary32) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) x))) (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 4/3 binary32) x))) s) #s(literal -1 binary32) #s(literal 2 binary32))))
50.9%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 #s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
32.2%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
20.0%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal 4/3 binary32) x) x)) (*.f32 s s))))))
20.0%
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 #s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (*.f32 #s(literal 5/6 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))))))
50.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
52.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
37.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
50.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
37.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
14.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (neg.f32 s) x) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))))))
✓31.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
✓31.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
30.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))))
31.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s)))))
✓23.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
18.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s)))))
✓37.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
✓27.1%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
52.0%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) #s(literal 1 binary32))))
✓67.0%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
20.2%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s))))))
✓7.4%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
26.9%
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
✓33.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 2 979 to 1 180 computations (60.4% saved)

regimes72.0ms (1.7%)

Memory
-22.8MiB live, 171.4MiB allocated; 12ms collecting garbage
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 #s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 #s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (*.f32 #s(literal 5/6 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x #s(approx (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal 4/3 binary32) x) x)) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) #s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x))) (*.f32 #s(literal 5/6 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (neg.f32 s) x) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 4/3 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) s)))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 #s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/3 binary32) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) x))) (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 4/3 binary32) x))) s) #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
Outputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
Calls

7 calls:

12.0ms
(neg.f32 x)
11.0ms
s
11.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
10.0ms
x
9.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.9%1(neg.f32 x)
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1x
99.9%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes68.0ms (1.6%)

Memory
20.1MiB live, 159.9MiB allocated; 11ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 #s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 #s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (*.f32 #s(literal 5/6 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x #s(approx (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal 4/3 binary32) x) x)) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) #s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x))) (*.f32 #s(literal 5/6 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (neg.f32 s) x) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 4/3 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) s)))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 #s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/3 binary32) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) x))) (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 4/3 binary32) x))) s) #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

13.0ms
(neg.f32 x)
11.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
10.0ms
x
10.0ms
s
9.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.7%1(neg.f32 x)
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1x
99.7%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes66.0ms (1.6%)

Memory
1.9MiB live, 146.3MiB allocated; 14ms collecting garbage
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 #s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 #s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* (* x x) 1/3)) (*.f32 #s(literal 5/6 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x #s(approx (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal 4/3 binary32) x) x)) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) #s(literal 4/3 binary32))) (*.f32 s s))))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) #s(approx (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x))) (*.f32 #s(literal 5/6 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (neg.f32 s) x) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 4/3 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/3 binary32))) s)))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 #s(approx (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) (-.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/3 binary32) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s)) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) x))) (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 4/3 binary32) x))) s) #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 s s))))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))
Calls

7 calls:

14.0ms
(neg.f32 x)
13.0ms
x
9.0ms
s
8.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
8.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
60.9%2(neg.f32 x)
60.9%2(/.f32 (neg.f32 x) s)
60.9%2(exp.f32 (/.f32 (neg.f32 x) s))
60.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
60.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
60.9%2x
52.2%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes31.0ms (0.7%)

Memory
-7.3MiB live, 84.0MiB allocated; 5ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
Calls

6 calls:

7.0ms
x
6.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
5.0ms
(neg.f32 x)
5.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
60.9%2x
60.9%2(neg.f32 x)
60.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
60.7%2(/.f32 (neg.f32 x) s)
60.7%2(exp.f32 (/.f32 (neg.f32 x) s))
60.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes24.0ms (0.6%)

Memory
19.8MiB live, 65.3MiB allocated; 2ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s)))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s)))))
Calls

6 calls:

5.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms
x
4.0ms
(neg.f32 x)
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
58.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
58.7%2(/.f32 (neg.f32 x) s)
58.7%2(exp.f32 (/.f32 (neg.f32 x) s))
58.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
57.0%2x
57.0%2(neg.f32 x)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes4.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(approx (+ (* (/ (- (+ (* 2 x) (neg (/ (- (* 4/3 (* x x)) (+ (* (* (- (* 2 x) x) x) 1/2) (* 1/3 (* x x)))) s))) x) s) -1) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
Calls

1 calls:

4.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
58.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 4 to 4 computations (0% saved)

regimes32.0ms (0.8%)

Memory
-15.4MiB live, 69.9MiB allocated; 15ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))
Calls

7 calls:

8.0ms
x
4.0ms
s
3.0ms
(neg.f32 x)
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
41.0%2s
50.7%2x
50.7%2(neg.f32 x)
51.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
51.6%2(exp.f32 (/.f32 (neg.f32 x) s))
51.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
51.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes30.0ms (0.7%)

Memory
35.8MiB live, 68.8MiB allocated; 15ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
Calls

6 calls:

15.0ms
(exp.f32 (/.f32 (neg.f32 x) 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
46.6%2x
46.6%2(neg.f32 x)
47.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
47.0%2(exp.f32 (/.f32 (neg.f32 x) s))
47.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
47.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes20.0ms (0.5%)

Memory
8.1MiB live, 49.9MiB allocated; 13ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
Calls

4 calls:

12.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
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))))
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
47.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
47.0%2(/.f32 (neg.f32 x) s)
47.0%2(exp.f32 (/.f32 (neg.f32 x) s))
47.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes35.0ms (0.8%)

Memory
-27.4MiB live, 36.6MiB allocated; 46ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
Calls

4 calls:

29.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
47.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
47.0%2(exp.f32 (/.f32 (neg.f32 x) s))
47.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
47.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 25 to 24 computations (4% saved)

regimes19.0ms (0.5%)

Memory
-16.4MiB live, 29.4MiB allocated; 11ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s)))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
Calls

6 calls:

10.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(neg.f32 x)
2.0ms
x
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
45.5%2x
45.5%2(neg.f32 x)
45.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
45.6%2(/.f32 (neg.f32 x) s)
45.6%2(exp.f32 (/.f32 (neg.f32 x) s))
45.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes10.0ms (0.2%)

Memory
28.9MiB live, 28.9MiB allocated; 0ms collecting garbage
Accuracy

Total -8.4b remaining (-39.6%)

Threshold costs -8.4b (-39.6%)

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

7 calls:

2.0ms
(neg.f32 x)
2.0ms
s
2.0ms
x
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
33.7%1s
33.7%1x
33.7%1(neg.f32 x)
33.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
33.7%1(/.f32 (neg.f32 x) s)
33.7%1(exp.f32 (/.f32 (neg.f32 x) s))
33.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0538241863250732
1.3629292249679565
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
9.588264629564432e-35
7.699315806330687e-34
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
151.64260864257813
225.65602111816406
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
151.64260864257813
225.65602111816406
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
151.64260864257813
225.65602111816406
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0135475397109985
-0.04412711784243584
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch3.0ms (0.1%)

Memory
-45.0MiB live, 1.1MiB allocated; 3ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0135475397109985
-0.04412711784243584
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0135475397109985
-0.04412711784243584
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.561641216278076
3853.344970703125
Compiler

Compiled 12 to 14 computations (-16.7% saved)

derivations334.0ms (8%)

Memory
18.1MiB live, 337.9MiB allocated; 48ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 471 to 106 computations (77.5% saved)

preprocess35.0ms (0.8%)

Memory
38.9MiB live, 83.5MiB allocated; 7ms collecting garbage
Compiler

Compiled 960 to 228 computations (76.3% saved)

end0.0ms (0%)

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

Profiling

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