Logistic function

Time bar (total: 3.1s)

start0.0ms (0%)

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

analyze55.0ms (1.8%)

Memory
-34.6MiB live, 62.2MiB allocated; 30ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample733.0ms (23.9%)

Memory
55.6MiB live, 1 042.7MiB allocated; 227ms collecting garbage
Samples
528.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 299.0ms
ival-div!: 101.0ms (33.8% of total)
ival-exp: 78.0ms (26.1% of total)
ival-neg: 71.0ms (23.8% of total)
ival-add!: 45.0ms (15.1% of total)
adjust: 2.0ms (0.7% of total)
ival-<=: 1.0ms (0.3% of total)
ival-and: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain87.0ms (2.8%)

Memory
-4.7MiB live, 140.5MiB allocated; 10ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
22(9.174396860937969e-26 1.4246505836508274e-28)2(-1.6348775027652516e-19 2.935317652458867e-21)(exp.f32 (/.f32 (neg.f32 x) s))
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
00-0-(neg.f32 x)
00-0-(/.f32 (neg.f32 x) s)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 x) s))sensitivity25
Confusion
Predicted +Predicted -
+01
-2253
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-24249
Precision?
0.14285714285714285
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms512×0valid
Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div!: 5.0ms (37.1% of total)
ival-exp: 4.0ms (29.7% of total)
ival-neg: 3.0ms (22.3% of total)
ival-add!: 1.0ms (7.4% of total)
adjust: 0.0ms (0% of total)

preprocess25.0ms (0.8%)

Memory
-4.7MiB live, 42.2MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02450
15950
211850
333550
4161950
Stop Event
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)

series15.0ms (0.5%)

Memory
-22.4MiB live, 22.3MiB allocated; 5ms 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
7.0ms
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)
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)

rewrite165.0ms (5.4%)

Memory
45.9MiB live, 227.3MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181784
0188698
11084691
08359664
Stop Event
iter-limit
node-limit
iter-limit
Counts
39 → 79
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Outputs
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (*.f32 #s(literal 2 binary32) (neg.f32 x)) (*.f32 #s(literal 2 binary32) s))
(/.f32 (*.f32 x #s(literal 1 binary32)) (neg.f32 s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(neg.f32 (*.f32 (/.f32 x s) #s(literal 1 binary32)))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)))
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 (*.f32 x #s(literal 1 binary32)))
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) (neg.f32 x))
#s(approx x x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx s s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))))
#s(approx (exp (/ (neg x) s)) (-.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(approx (exp (/ (neg x) s)) (+.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))

eval11.0ms (0.4%)

Memory
-38.4MiB live, 18.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 453 to 357 computations (75.4% saved)

prune6.0ms (0.2%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New73780
Fresh000
Picked011
Done000
Total73881
Accuracy
99.8%
Counts
81 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
53.9%
(/.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))))
55.4%
(/.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))))
42.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))))
99.2%
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
25.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
32.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 247 to 190 computations (23.1% saved)

series26.0ms (0.9%)

Memory
1.3MiB live, 48.5MiB allocated; 2ms collecting garbage
Counts
26 → 94
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 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)))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
#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 #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 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
(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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x)
#s(literal -1/2 binary32)
(/.f32 (*.f32 x x) s)
(*.f32 x x)
Outputs
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ 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 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 1))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 2))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (/ x s)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 x))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s))))))
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* -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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* 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 (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
s
@inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* -1/2 (/ (* x x) s)) x) s) (+ (* -1/2 (/ (* x x) s)) x) -1/2 (/ (* x x) s) (* x x))
5.0ms
x
@-inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* -1/2 (/ (* x x) s)) x) s) (+ (* -1/2 (/ (* x x) s)) x) -1/2 (/ (* x x) s) (* x x))
4.0ms
x
@0
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* -1/2 (/ (* x x) s)) x) s) (+ (* -1/2 (/ (* x x) s)) x) -1/2 (/ (* x x) s) (* x x))
4.0ms
x
@inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* -1/2 (/ (* x x) s)) x) s) (+ (* -1/2 (/ (* x x) s)) x) -1/2 (/ (* x x) s) (* x x))
3.0ms
s
@-inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) 1 (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ x s) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* -1/2 (/ (* x x) s)) x) s) (+ (* -1/2 (/ (* x x) s)) x) -1/2 (/ (* x x) s) (* x x))

rewrite240.0ms (7.8%)

Memory
0.7MiB live, 207.1MiB allocated; 116ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04332711
04562357
127382329
085002256
Stop Event
iter-limit
node-limit
iter-limit
Counts
120 → 231
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 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)))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
#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 #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 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
(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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x)
#s(literal -1/2 binary32)
(/.f32 (*.f32 x x) s)
(*.f32 x x)
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ 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 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 1))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 2))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (/ x s)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 x))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s))))))
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* -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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* 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 (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))))
Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
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(*.f32 (exp.f32 (log.f32 x)) (exp.f32 (log.f32 x)))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 x x)
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 x) #s(literal 2 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 x x))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
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#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
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#s(approx (exp (/ x s)) #s(literal 1 binary32))
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
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#s(approx (/ x s) (/.f32 x s))
#s(approx x x)
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#s(approx (+ (* -1/2 (/ (* x x) s)) x) x)
#s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x))
#s(approx (/ (* x x) s) (*.f32 x (/.f32 x s)))
#s(approx (* x x) (*.f32 x x))
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#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (exp (/ x s)) (exp.f32 (/.f32 x s)))
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#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))
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#s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) (*.f32 x x)))
#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 (+ (* (/ (+ (* -1/2 (/ (* 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 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s))
#s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s)))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 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 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/3 binary32) (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) #s(literal -1/4 binary32) (fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x) #s(literal -1/8 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 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 x s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/3 binary32) (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal -1/2 binary32) (/.f32 x s))))
#s(approx (/ 1 (exp (/ x s))) (-.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) (/.f32 x s)))
#s(approx (/ 1 (exp (/ x s))) (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/3 binary32) (*.f32 (neg.f32 x) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal -1/2 binary32) (/.f32 x s))))
#s(approx (exp (/ x s)) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 x s))) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 0 binary32)) #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 (pow.f32 (/.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 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 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) s) (*.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 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32))) s)) #s(literal -1/2 binary32) (fma.f32 (*.f32 x (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) #s(literal 1/8 binary32) (*.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x))) s) #s(literal -1/4 binary32)))) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 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 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/2 binary32) (*.f32 x (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))))) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s) x)) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/2 binary32) (*.f32 x (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32))))) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s) x)) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ 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) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 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 x (/.f32 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 x (/.f32 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)))

eval52.0ms (1.7%)

Memory
-1.7MiB live, 44.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 6 324 to 1 113 computations (82.4% saved)

prune15.0ms (0.5%)

Memory
-16.0MiB live, 30.0MiB allocated; 4ms collecting garbage
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New23713250
Fresh022
Picked235
Done011
Total23919258
Accuracy
99.8%
Counts
258 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
59.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
59.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) s (*.f32 s x)) (*.f32 s s)) #s(literal -1 binary32) #s(literal 2 binary32))))
54.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
55.4%
(/.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))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s))) #s(literal -1 binary32) #s(literal 2 binary32))))
42.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
54.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))))
35.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))
35.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
42.7%
(/.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))))
23.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
42.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
99.2%
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
25.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
25.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
32.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 848 to 625 computations (26.3% saved)

series77.0ms (2.5%)

Memory
-2.3MiB live, 53.1MiB allocated; 5ms collecting garbage
Counts
41 → 151
Calls
Call 1
Inputs
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(literal -1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s))
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s))
#s(literal 1/4 binary32)
(*.f32 #s(literal 1/2 binary32) 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))))
#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 (/ 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)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s))
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x)))
(*.f32 x x)
(neg.f32 (*.f32 s x))
(*.f32 s x)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32)))
(fma.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))
(/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)) s)
#s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(/.f32 x s)
Outputs
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 1/2))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (sqrt 1/2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ (+ (* 1/4 x) (* 1/2 s)) s) #s(hole binary32 1/2))
#s(approx (/ (+ (* 1/4 x) (* 1/2 s)) s) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* 1/2 s)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (+ (* 1/4 x) (* 1/2 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* -1 (* s x))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* x (- (* 1/2 x) s))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (neg (* s x)) #s(hole binary32 (* -1 (* s x))))
#s(approx (* s x) #s(hole binary32 (* s x)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (/ x s)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 x))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s))))))
#s(approx (* (+ (* (/ x s) -1/2) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (/ x s) -1/2) 1) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s))))))
#s(approx (+ (* (/ x s) -1/2) 1) #s(hole binary32 1))
#s(approx (+ (* (/ x s) -1/2) 1) #s(hole binary32 (+ 1 (* -1/2 (/ x s)))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* 1/4 x) (* 1/2 s)) s) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (/ (+ (* 1/4 x) (* 1/2 s)) s) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* 1/4 x)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* x (+ 1/4 (* 1/2 (/ s x))))))
#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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* 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 x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x))))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (* (+ (* (/ x s) -1/2) 1) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (* (+ (* (/ x s) -1/2) 1) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (+ (* (/ x s) -1/2) 1) #s(hole binary32 (* -1/2 (/ x s))))
#s(approx (+ (* (/ x s) -1/2) 1) #s(hole binary32 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))))
#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 (+ (* (/ (+ (* -1/2 (/ (* 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 (+ (* (/ x s) -1/2) 1) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (/ (+ (* 1/4 x) (* 1/2 s)) s) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* 1/2 s) #s(hole binary32 (* 1/2 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2)))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s)))
#s(approx (* (+ (* (/ x s) -1/2) 1) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s)))
#s(approx (+ (* (/ x s) -1/2) 1) #s(hole binary32 (/ (+ s (* -1/2 x)) s)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #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 (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (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 (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* s (+ 1/2 (* 1/4 (/ x s))))))
#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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* s (- (* 1/2 (/ (pow x 2) s)) x))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s)))))
#s(approx (* (+ (* (/ x s) -1/2) 1) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s)))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 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 (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))))
#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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* -1 (* s (- (* -1/2 (/ (pow x 2) s)) (* -1 x))))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))))
Calls

6 calls:

TimeVariablePointExpression
51.0ms
x
@-inf
((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (+ (* (* x x) 1/2) (neg (* s x))) (* x x) (neg (* s x)) (* s x) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* -1/2 (/ (* x x) s)) x) s) (+ (* -1/2 (/ (* x x) s)) x) (* (+ (* (/ x s) -1/2) 1) x) (+ (* (/ x s) -1/2) 1) (/ x s))
5.0ms
s
@inf
((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (+ (* (* x x) 1/2) (neg (* s x))) (* x x) (neg (* s x)) (* s x) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* -1/2 (/ (* x x) s)) x) s) (+ (* -1/2 (/ (* x x) s)) x) (* (+ (* (/ x s) -1/2) 1) x) (+ (* (/ x s) -1/2) 1) (/ x s))
5.0ms
s
@-inf
((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (+ (* (* x x) 1/2) (neg (* s x))) (* x x) (neg (* s x)) (* s x) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* -1/2 (/ (* x x) s)) x) s) (+ (* -1/2 (/ (* x x) s)) x) (* (+ (* (/ x s) -1/2) 1) x) (+ (* (/ x s) -1/2) 1) (/ x s))
5.0ms
x
@inf
((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (+ (* (* x x) 1/2) (neg (* s x))) (* x x) (neg (* s x)) (* s x) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* -1/2 (/ (* x x) s)) x) s) (+ (* -1/2 (/ (* x x) s)) x) (* (+ (* (/ x s) -1/2) 1) x) (+ (* (/ x s) -1/2) 1) (/ x s))
4.0ms
s
@0
((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* 1/4 x) (* 1/2 s)) s) (+ (* 1/4 x) (* 1/2 s)) 1/4 (* 1/2 s) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ (+ (* 2 s) (neg x)) s) (+ (* 2 s) (neg x)) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (+ (* (* x x) 1/2) (neg (* s x))) (* x x) (neg (* s x)) (* s x) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* -1/2 (/ (* x x) s)) x) s) (+ (* -1/2 (/ (* x x) s)) x) (* (+ (* (/ x s) -1/2) 1) x) (+ (* (/ x s) -1/2) 1) (/ x s))

rewrite192.0ms (6.3%)

Memory
17.7MiB live, 276.0MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05294073
05643656
127203627
081253492
Stop Event
iter-limit
node-limit
iter-limit
Counts
192 → 411
Calls
Call 1
Inputs
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(literal -1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s))
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s))
#s(literal 1/4 binary32)
(*.f32 #s(literal 1/2 binary32) 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))))
#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 (/ 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)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s))
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x)))
(*.f32 x x)
(neg.f32 (*.f32 s x))
(*.f32 s x)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32)))
(fma.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))
(/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)) s)
#s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(/.f32 x s)
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 1/2))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (sqrt 1/2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ (+ (* 1/4 x) (* 1/2 s)) s) #s(hole binary32 1/2))
#s(approx (/ (+ (* 1/4 x) (* 1/2 s)) s) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* 1/2 s)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (+ (* 1/4 x) (* 1/2 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* -1 (* s x))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* x (- (* 1/2 x) s))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (neg (* s x)) #s(hole binary32 (* -1 (* s x))))
#s(approx (* s x) #s(hole binary32 (* s x)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (/ x s)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 x))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s))))))
#s(approx (* (+ (* (/ x s) -1/2) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (/ x s) -1/2) 1) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s))))))
#s(approx (+ (* (/ x s) -1/2) 1) #s(hole binary32 1))
#s(approx (+ (* (/ x s) -1/2) 1) #s(hole binary32 (+ 1 (* -1/2 (/ x s)))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* 1/4 x) (* 1/2 s)) s) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (/ (+ (* 1/4 x) (* 1/2 s)) s) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* 1/4 x)))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* x (+ 1/4 (* 1/2 (/ s x))))))
#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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* 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 x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x))))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (* (+ (* (/ x s) -1/2) 1) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s))))
#s(approx (* (+ (* (/ x s) -1/2) 1) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (+ (* (/ x s) -1/2) 1) #s(hole binary32 (* -1/2 (/ x s))))
#s(approx (+ (* (/ x s) -1/2) 1) #s(hole binary32 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* -1 (* x (- (* -1/2 (/ s x)) 1/4)))))
#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 (+ (* (/ (+ (* -1/2 (/ (* 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 (+ (* (/ x s) -1/2) 1) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))))
#s(approx s #s(hole binary32 s))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (/ (+ (* 1/4 x) (* 1/2 s)) s) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* 1/2 s) #s(hole binary32 (* 1/2 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2)))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s)))
#s(approx (* (+ (* (/ x s) -1/2) 1) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s)))
#s(approx (+ (* (/ x s) -1/2) 1) #s(hole binary32 (/ (+ s (* -1/2 x)) s)))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #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 (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (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 (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* s (+ 1/2 (* 1/4 (/ x s))))))
#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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* s (- (* 1/2 (/ (pow x 2) s)) x))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s)))))
#s(approx (* (+ (* (/ x s) -1/2) 1) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s)))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 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 (+ (* 1/4 x) (* 1/2 s)) #s(hole binary32 (* -1 (* s (- (* -1/4 (/ x s)) 1/2)))))
#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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* -1 (* s (- (* -1/2 (/ (pow x 2) s)) (* -1 x))))))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))))
Outputs
(*.f32 (neg.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))) (neg.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))))
(*.f32 (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(fabs.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(exp.f32 (fma.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32) (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32))))
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
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(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
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(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
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#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (-.f32 (fma.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 binary32) #s(literal 1/2 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x)))) (*.f32 (*.f32 s s) (sqrt.f32 #s(literal 1/2 binary32)))) #s(literal -1/2 binary32) (*.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (+.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x) #s(literal 1/2 binary32)) #s(literal -1/8 binary32) (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)))))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x)))) (*.f32 (*.f32 s s) (sqrt.f32 #s(literal 1/2 binary32)))) #s(literal -1/2 binary32) (*.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.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 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 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.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)))) (-.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 0 binary32)) #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 (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 binary32) #s(literal 1/2 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))))
#s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (pow.f32 (/.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 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.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 (+ (* 2 s) (neg x)) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) s))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
#s(approx (+ (* -1/2 (/ (* x x) s)) x) (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x))
#s(approx (* (+ (* (/ x s) -1/2) 1) x) (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x))
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 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 (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (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 x (/.f32 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 (pow (- (exp (/ (neg x) s)) -1) -1/2) (fma.f32 (/.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x)))) s) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal 1/2 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32))) s) #s(literal -1 binary32) (sqrt.f32 #s(literal 1/2 binary32))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (fma.f32 (/.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/24 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x) #s(literal 1/2 binary32)) #s(literal 1/8 binary32))))) s) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))))) (sqrt.f32 #s(literal 1/2 binary32)))) s))) s) #s(literal -1 binary32) (sqrt.f32 #s(literal 1/2 binary32))))
#s(approx (- (exp (/ (neg x) s)) -1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (- (exp (/ (neg x) s)) -1) (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 (*.f32 x (/.f32 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 x (/.f32 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 x (/.f32 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 (+ (* 1/4 x) (* 1/2 s)) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#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)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s)))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) (neg.f32 (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) (neg.f32 x)) s)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)))

eval123.0ms (4%)

Memory
-9.3MiB live, 140.3MiB allocated; 49ms collecting garbage
Compiler

Compiled 18 026 to 2 150 computations (88.1% saved)

prune43.0ms (1.4%)

Memory
-5.8MiB live, 40.6MiB allocated; 5ms collecting garbage
Pruning

27 alts after pruning (19 fresh and 8 done)

PrunedKeptTotal
New50813521
Fresh4610
Picked145
Done044
Total51327540
Accuracy
99.8%
Counts
540 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
99.6%
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
59.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
59.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
54.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s))) #s(literal -1 binary32) #s(literal 2 binary32))))
42.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
54.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))))
16.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s (neg.f32 x)))) (*.f32 (*.f32 s s) (*.f32 s s))))))
35.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))
35.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
35.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)) (*.f32 s s)))))
35.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))
36.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
28.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
35.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)))))
23.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s)))))
37.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (*.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)))))
42.7%
(/.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))))
42.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s))) s))))
99.2%
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
25.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
25.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
32.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 507 to 1 067 computations (29.2% saved)

series33.0ms (1.1%)

Memory
7.6MiB live, 52.2MiB allocated; 5ms collecting garbage
Counts
40 → 163
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)))
#s(literal 1 binary32)
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(literal -1/2 binary32)
#s(literal -2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s)))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)
(fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x))
(*.f32 x (/.f32 x s))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)) (*.f32 s s))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)) (*.f32 s s)))
(/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)) (*.f32 s s))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s))
(*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)
(-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x)
(*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32))
(*.f32 s s)
Outputs
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 1/2))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 2))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (sqrt 1/2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ 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 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 1))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ 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) 1) #s(hole binary32 1))
#s(approx (+ (/ x s) 1) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) #s(hole binary32 (* -1 x)))
#s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) #s(hole binary32 (* x (- (* 1/2 (/ x s)) 1))))
#s(approx (* x (/ x s)) #s(hole binary32 (/ (pow x 2) s)))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* -1 (* s x))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* x (- (* 1/2 x) s))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (* -1 (* s x))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (* x (+ (* -1 s) (* 1/2 x)))))
#s(approx (- (* (* x (/ x s)) 1/2) x) #s(hole binary32 (* -1 x)))
#s(approx (- (* (* x (/ x s)) 1/2) x) #s(hole binary32 (* x (- (* 1/2 (/ x s)) 1))))
#s(approx (* (* x (/ x s)) 1/2) #s(hole binary32 (* 1/2 (/ (pow x 2) s))))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* 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 x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (+ (/ x s) 1) #s(hole binary32 (/ x s)))
#s(approx (+ (/ x s) 1) #s(hole binary32 (* x (+ (/ 1 s) (/ 1 x)))))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) #s(hole binary32 (* 1/2 (/ (pow x 2) s))))
#s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x))))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x))))))
#s(approx (- (* (* x (/ x s)) 1/2) x) #s(hole binary32 (* 1/2 (/ (pow x 2) s))))
#s(approx (- (* (* x (/ x s)) 1/2) x) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (/ x s) 1) #s(hole binary32 (/ (+ s x) s)))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2)))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2)))))
#s(approx (- (* (* x (/ x s)) 1/2) x) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #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 (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) #s(hole binary32 (- (* 1/2 (/ (pow x 2) s)) x)))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* s (- (* 1/2 (/ (pow x 2) s)) x))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))))
#s(approx (- (* (* x (/ x s)) 1/2) x) #s(hole binary32 (- (* 1/2 (/ (pow x 2) s)) x)))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* -1 (* s (- (* -1/2 (/ (pow x 2) s)) (* -1 x))))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 -2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) (+ (* (* x (/ x s)) 1/2) (neg x)) (* x (/ x s)) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (+ (* (* x x) 1/2) (neg (* s x))) (* (- (* (* x (/ x s)) 1/2) x) s) (- (* (* x (/ x s)) 1/2) x) (* (* x (/ x s)) 1/2) (* s s))
7.0ms
s
@-inf
((/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 -2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) (+ (* (* x (/ x s)) 1/2) (neg x)) (* x (/ x s)) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (+ (* (* x x) 1/2) (neg (* s x))) (* (- (* (* x (/ x s)) 1/2) x) s) (- (* (* x (/ x s)) 1/2) x) (* (* x (/ x s)) 1/2) (* s s))
4.0ms
x
@-inf
((/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 -2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) (+ (* (* x (/ x s)) 1/2) (neg x)) (* x (/ x s)) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (+ (* (* x x) 1/2) (neg (* s x))) (* (- (* (* x (/ x s)) 1/2) x) s) (- (* (* x (/ x s)) 1/2) x) (* (* x (/ x s)) 1/2) (* s s))
3.0ms
s
@0
((/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 -2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) (+ (* (* x (/ x s)) 1/2) (neg x)) (* x (/ x s)) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (+ (* (* x x) 1/2) (neg (* s x))) (* (- (* (* x (/ x s)) 1/2) x) s) (- (* (* x (/ x s)) 1/2) x) (* (* x (/ x s)) 1/2) (* s s))
3.0ms
s
@inf
((/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 -2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (+ (/ x s) 1) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) (+ (* (* x (/ x s)) 1/2) (neg x)) (* x (/ x s)) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (+ (* (* x x) 1/2) (neg (* s x))) (* (- (* (* x (/ x s)) 1/2) x) s) (- (* (* x (/ x s)) 1/2) x) (* (* x (/ x s)) 1/2) (* s s))

rewrite246.0ms (8%)

Memory
29.1MiB live, 217.5MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06175285
06534729
136074668
085134479
Stop Event
iter-limit
node-limit
iter-limit
Counts
203 → 357
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)))
#s(literal 1 binary32)
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(literal -1/2 binary32)
#s(literal -2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s)))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)
(fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x))
(*.f32 x (/.f32 x s))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)) (*.f32 s s))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)) (*.f32 s s)))
(/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)) (*.f32 s s))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s))
(*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)
(-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x)
(*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32))
(*.f32 s s)
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 1/2))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 2))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (sqrt 1/2)))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 2))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ 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 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 1))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ 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) 1) #s(hole binary32 1))
#s(approx (+ (/ x s) 1) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) #s(hole binary32 (* -1 x)))
#s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) #s(hole binary32 (* x (- (* 1/2 (/ x s)) 1))))
#s(approx (* x (/ x s)) #s(hole binary32 (/ (pow x 2) s)))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* -1 (* s x))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* x (- (* 1/2 x) s))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (* -1 (* s x))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (* x (+ (* -1 s) (* 1/2 x)))))
#s(approx (- (* (* x (/ x s)) 1/2) x) #s(hole binary32 (* -1 x)))
#s(approx (- (* (* x (/ x s)) 1/2) x) #s(hole binary32 (* x (- (* 1/2 (/ x s)) 1))))
#s(approx (* (* x (/ x s)) 1/2) #s(hole binary32 (* 1/2 (/ (pow x 2) s))))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* 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 x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (+ (/ x s) 1) #s(hole binary32 (/ x s)))
#s(approx (+ (/ x s) 1) #s(hole binary32 (* x (+ (/ 1 s) (/ 1 x)))))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) #s(hole binary32 (* 1/2 (/ (pow x 2) s))))
#s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x))))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (* 1/2 (pow x 2))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x))))))
#s(approx (- (* (* x (/ x s)) 1/2) x) #s(hole binary32 (* 1/2 (/ (pow x 2) s))))
#s(approx (- (* (* x (/ x s)) 1/2) x) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (/ x s) 1) #s(hole binary32 (/ (+ s x) s)))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2)))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2)))))
#s(approx (- (* (* x (/ x s)) 1/2) x) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #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 (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) #s(hole binary32 (- (* 1/2 (/ (pow x 2) s)) x)))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* s (- (* 1/2 (/ (pow x 2) s)) x))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))))
#s(approx (- (* (* x (/ x s)) 1/2) x) #s(hole binary32 (- (* 1/2 (/ (pow x 2) s)) x)))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) #s(hole binary32 (* -1 (* s (- (* -1/2 (/ (pow x 2) s)) (* -1 x))))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) #s(hole binary32 (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))))
Outputs
(*.f32 (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) #s(literal -2 binary32))))
(exp.f32 (neg.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) #s(literal -2 binary32))))
(exp.f32 (*.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) #s(literal -2 binary32)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(*.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal -2 binary32)) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal -2 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal -2 binary32) (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) #s(literal -2 binary32))) (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (*.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (exp.f32 (/.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) #s(literal -2 binary32))) (sinh.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) #s(literal -2 binary32))))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) #s(literal -2 binary32)))
(*.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32))) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32))) (fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32))))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(*.f32 (/.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 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(pow.f32 (exp.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/4 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))))
(exp.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal -2 binary32)) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal -2 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal -2 binary32) (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) #s(literal -2 binary32))) (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (*.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (exp.f32 (/.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) #s(literal -2 binary32))) (sinh.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) #s(literal -2 binary32))))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) #s(literal -2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 1 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 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) s)
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(literal -1/2 binary32)
#s(literal -2 binary32)
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s)))))
(pow.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s))))) #s(literal -1 binary32)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s))))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s)))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 binary32)))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) #s(literal -1 binary32)))
(/.f32 (+.f32 #s(literal -2 binary32) (*.f32 (neg.f32 #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 2 binary32))) (*.f32 (neg.f32 #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 2 binary32)))
(/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) #s(literal 2 binary32))) (*.f32 #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 (fma.f32 #s(literal 2 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) #s(literal -3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))))
(+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))
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#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2)) (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 s) x) #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 (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) (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 (pow (- (exp (/ (neg x) s)) -1) -1/2) (fma.f32 (/.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x)))) s) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal 1/2 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32))) s) #s(literal -1 binary32) (sqrt.f32 #s(literal 1/2 binary32))))
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (fma.f32 (/.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/24 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x) #s(literal 1/2 binary32)) #s(literal 1/8 binary32))))) s) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) (fma.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))))) (sqrt.f32 #s(literal 1/2 binary32)))) s))) s) #s(literal -1 binary32) (sqrt.f32 #s(literal 1/2 binary32))))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (pow (pow (- (exp (/ (neg x) s)) -1) -1/2) -2) (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 (/ 1 (exp (/ x s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ 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 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #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 (/ 1 (exp (/ 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 s) x) #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 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ 1 (/ 1 (exp (/ 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) s) (*.f32 #s(literal 1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) s)) #s(literal -1/2 binary32) (fma.f32 (*.f32 x (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) #s(literal 1/8 binary32) (*.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32)))) s) #s(literal -1/4 binary32)))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 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 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/2 binary32) (*.f32 x (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s) x)) s) #s(literal -1 binary32) #s(literal 2 binary32)))
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/2 binary32) (*.f32 x (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s) x)) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ 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) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (/ (+ (* (* x (/ x s)) 1/2) (neg x)) s) (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)))
#s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (neg.f32 s) (-.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) (neg.f32 x))))
#s(approx (* (- (* (* x (/ x s)) 1/2) x) s) (*.f32 (neg.f32 s) (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x)))

eval49.0ms (1.6%)

Memory
-39.8MiB live, 61.2MiB allocated; 12ms collecting garbage
Compiler

Compiled 14 556 to 1 746 computations (88% saved)

prune30.0ms (1%)

Memory
12.6MiB live, 57.4MiB allocated; 3ms collecting garbage
Pruning

28 alts after pruning (18 fresh and 10 done)

PrunedKeptTotal
New3707377
Fresh31114
Picked235
Done178
Total37628404
Accuracy
99.8%
Counts
404 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
99.6%
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
59.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
55.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32))))))
59.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
41.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s))) #s(literal -1 binary32) #s(literal 2 binary32))))
42.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
54.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))))
16.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s (neg.f32 x)))) (*.f32 (*.f32 s s) (*.f32 s s))))))
35.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))
35.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
36.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
35.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))
36.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32))) s)) (*.f32 s s)))))
28.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (neg.f32 x)) s)) (*.f32 s s)))))
35.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
34.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 x)) s)))))
23.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (neg.f32 x) s)))))
35.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 #s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32))) s)))))
37.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (*.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)))))
42.7%
(/.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))))
99.2%
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
25.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
25.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
32.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 2 189 to 888 computations (59.4% saved)

regimes69.0ms (2.2%)

Memory
27.0MiB live, 127.0MiB allocated; 9ms collecting garbage
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* 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))) #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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (neg.f32 x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* 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 (+ (* (/ (+ (* -1/2 (/ (* 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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 #s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32))) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 x)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s))) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #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 (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))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (*.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32))) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) s (*.f32 s x)) (*.f32 s s)) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s (neg.f32 x)))) (*.f32 (*.f32 s s) (*.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) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

12.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
11.0ms
x
10.0ms
s
10.0ms
(neg.f32 x)
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)

regimes105.0ms (3.4%)

Memory
-15.6MiB live, 77.7MiB allocated; 4ms collecting garbage
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* 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))) #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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (neg.f32 x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* 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 (+ (* (/ (+ (* -1/2 (/ (* 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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 #s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32))) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 x)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s))) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #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 (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))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (*.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32))) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) s (*.f32 s x)) (*.f32 s s)) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s (neg.f32 x)))) (*.f32 (*.f32 s s) (*.f32 s s))))))
Outputs
(/.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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
Calls

7 calls:

55.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
10.0ms
s
9.0ms
(neg.f32 x)
8.0ms
x
8.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
90.7%2(neg.f32 x)
90.8%2(/.f32 (neg.f32 x) s)
90.8%2(exp.f32 (/.f32 (neg.f32 x) s))
90.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
90.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
90.7%2x
67.0%3s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes28.0ms (0.9%)

Memory
-14.9MiB live, 32.1MiB allocated; 1ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* 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))) #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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (neg.f32 x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* 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 (+ (* (/ (+ (* -1/2 (/ (* 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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 #s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32))) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 x)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s))) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #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 (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))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (*.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (*.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)))))
Calls

4 calls:

11.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
90.8%2(/.f32 (neg.f32 x) s)
90.8%2(exp.f32 (/.f32 (neg.f32 x) s))
90.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
90.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes40.0ms (1.3%)

Memory
14.8MiB live, 62.3MiB allocated; 7ms collecting garbage
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* 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))) #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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (neg.f32 x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* 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 (+ (* (/ (+ (* -1/2 (/ (* 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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 #s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32))) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 x)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s))) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s))) #s(literal -1 binary32) #s(literal 2 binary32))))
Calls

6 calls:

11.0ms
(neg.f32 x)
7.0ms
x
6.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
88.9%2x
88.9%2(neg.f32 x)
88.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
88.8%2(/.f32 (neg.f32 x) s)
88.8%2(exp.f32 (/.f32 (neg.f32 x) s))
88.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes22.0ms (0.7%)

Memory
-6.4MiB live, 37.4MiB allocated; 4ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* 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))) #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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (neg.f32 x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* 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 (+ (* (/ (+ (* -1/2 (/ (* 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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 #s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32))) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 x)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (fma.f32 x (*.f32 #s(literal 1/2 binary32) x) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
Calls

3 calls:

8.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(neg.f32 x)
6.0ms
x
Results
AccuracySegmentsBranch
88.8%2(/.f32 (neg.f32 x) s)
87.7%2x
87.7%2(neg.f32 x)
Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes5.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* 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))) #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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (neg.f32 x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* 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 (+ (* (/ (+ (* -1/2 (/ (* 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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 #s(approx (+ (* 2 s) (neg x)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* s s)) (/.f32 #s(approx (+ (* (* x (/ x s)) 1/2) (neg x)) (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32))) s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))
Calls

1 calls:

4.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
88.8%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 4 to 4 computations (0% saved)

regimes4.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB 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 (+ 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)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* 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))) #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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (neg.f32 x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* 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 (+ (* (/ (+ (* -1/2 (/ (* 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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
Calls

1 calls:

4.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
88.8%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 4 to 4 computations (0% saved)

regimes21.0ms (0.7%)

Memory
-4.5MiB live, 42.3MiB allocated; 1ms collecting garbage
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* 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))) #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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (neg.f32 x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* 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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
Calls

6 calls:

4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms
(neg.f32 x)
4.0ms
x
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
83.9%3x
83.9%3(neg.f32 x)
89.2%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
89.2%3(exp.f32 (/.f32 (neg.f32 x) s))
89.2%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
89.2%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes21.0ms (0.7%)

Memory
-7.2MiB live, 38.6MiB allocated; 4ms collecting garbage
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* 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))) #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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (neg.f32 x)) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
Calls

6 calls:

5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms
x
3.0ms
(neg.f32 x)
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
77.8%3(neg.f32 x)
77.8%3x
82.3%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
82.3%3(exp.f32 (/.f32 (neg.f32 x) s))
82.3%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
82.3%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes33.0ms (1.1%)

Memory
-10.8MiB live, 43.5MiB allocated; 25ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* 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))) #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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 #s(approx (- (* (* x (/ x s)) 1/2) x) (neg.f32 x)) s)) (*.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 s (neg.f32 x))) (*.f32 s s)))))
Calls

7 calls:

17.0ms
x
3.0ms
(neg.f32 x)
3.0ms
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))))
Results
AccuracySegmentsBranch
42.7%1s
53.9%2(neg.f32 x)
53.9%2x
54.5%2(/.f32 (neg.f32 x) s)
54.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
54.4%2(exp.f32 (/.f32 (neg.f32 x) s))
54.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes14.0ms (0.5%)

Memory
30.0MiB live, 30.0MiB allocated; 0ms 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 (+ 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)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* 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))) #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))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
Calls

6 calls:

3.0ms
x
3.0ms
(neg.f32 x)
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
50.3%2x
50.3%2(neg.f32 x)
51.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
51.2%2(exp.f32 (/.f32 (neg.f32 x) s))
51.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
51.2%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes12.0ms (0.4%)

Memory
-28.3MiB live, 20.7MiB allocated; 2ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) #s(approx (/ (+ (* (* x x) 1/2) (neg (* s x))) (* 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:

3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
2.0ms
x
2.0ms
(neg.f32 x)
2.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
49.6%2x
49.6%2(neg.f32 x)
49.7%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.7%2(/.f32 (neg.f32 x) s)
49.7%2(exp.f32 (/.f32 (neg.f32 x) s))
49.7%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes10.0ms (0.3%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Accuracy

Total -2.7b remaining (-12.6%)

Threshold costs -2.7b (-12.6%)

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

7 calls:

1.0ms
(neg.f32 x)
1.0ms
x
1.0ms
s
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
32.2%1s
32.2%1x
32.2%1(neg.f32 x)
32.2%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
32.2%1(/.f32 (neg.f32 x) s)
32.2%1(exp.f32 (/.f32 (neg.f32 x) s))
32.2%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.008249983191490173
0.036411214619874954
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
27.464065551757813
121.21236419677734
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.6651840804611605e-24
5.07698761696739e-23
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3067283.25
6319787.0
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3067283.25
6319787.0
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3067283.25
6319787.0
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.275787830352783
4.789259910583496
0.0ms
-150.98721313476563
-0.05982678756117821
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
27.464065551757813
121.21236419677734
0.0ms
1.0
1.9419276714324951
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3067283.25
6319787.0
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-150.98721313476563
-0.05982678756117821
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.000857353210449
27.464065551757813
Compiler

Compiled 12 to 14 computations (-16.7% saved)

derivations390.0ms (12.7%)

Memory
3.7MiB live, 333.8MiB allocated; 27ms collecting garbage
Stop Event
fuel
Compiler

Compiled 749 to 135 computations (82% saved)

preprocess69.0ms (2.3%)

Memory
-28.1MiB live, 63.6MiB allocated; 11ms collecting garbage
Compiler

Compiled 1 516 to 286 computations (81.1% saved)

end0.0ms (0%)

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

Profiling

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