Logistic function

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze39.0ms (1.1%)

Memory
7.4MiB live, 53.2MiB allocated; 5ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample841.0ms (24.3%)

Memory
65.8MiB live, 1 124.2MiB allocated; 284ms collecting garbage
Samples
583.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 395.0ms
ival-div: 196.0ms (49.6% of total)
ival-exp: 75.0ms (19% of total)
ival-add: 62.0ms (15.7% of total)
ival-neg: 44.0ms (11.1% of total)
exact: 7.0ms (1.8% of total)
const: 4.0ms (1% of total)
adjust: 3.0ms (0.8% of total)
ival-assert: 3.0ms (0.8% of total)
ival-<=: 1.0ms (0.3% of total)
ival-and: 0.0ms (0% of total)
Bogosity

explain112.0ms (3.2%)

Memory
0.2MiB live, 187.7MiB allocated; 47ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
04(1.994243650754786e-16 1.3258022940654254e-18)0-(exp.f32 (/.f32 (neg.f32 x) s))
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
00-0-(neg.f32 x)
00-0-(/.f32 (neg.f32 x) s)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 x) s))sensitivity40
Confusion
Predicted +Predicted -
+00
-4252
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-40252
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0252
14
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
35.0ms512×0valid
Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 7.0ms (39.1% of total)
ival-exp: 4.0ms (22.3% of total)
ival-add: 3.0ms (16.7% of total)
ival-neg: 3.0ms (16.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess191.0ms (5.5%)

Memory
-12.0MiB live, 259.6MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

series10.0ms (0.3%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Counts
8 → 31
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
Calls

6 calls:

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

rewrite193.0ms (5.6%)

Memory
-28.1MiB live, 262.5MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval7.0ms (0.2%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 453 to 357 computations (75.4% saved)

prune7.0ms (0.2%)

Memory
18.0MiB live, 18.0MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New73780
Fresh000
Picked011
Done000
Total73881
Accuracy
100.0%
Counts
81 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f32 #s(literal 1 binary32) (/.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)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶51.3%
(/.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))))
52.9%
(/.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))))
▶39.8%
(/.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))))
▶99.9%
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
▶29.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶34.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 245 to 198 computations (19.2% saved)

series94.0ms (2.7%)

Memory
-26.7MiB live, 209.1MiB allocated; 16ms collecting garbage
Counts
28 → 96
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#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))
(/.f32 x s)
#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(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
#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 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ x s) #s(hole binary32 (/ 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 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ 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 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (/ (+ (* -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 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (/ (+ (* -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
33.0ms
x
@inf
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) 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))
28.0ms
x
@-inf
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) 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))
18.0ms
s
@0
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) 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
s
@-inf
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) 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
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) 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))

rewrite150.0ms (4.3%)

Memory
38.2MiB live, 220.4MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04232641
04492307
124482296
080852224
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
124 → 263
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#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))
(/.f32 x s)
#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(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
#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 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ x s) #s(hole binary32 (/ 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 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ 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 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (/ (+ (* -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 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (/ (+ (* -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 (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)))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (log1p.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (log1p.f32 (-.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))))))
(log1p.f32 (exp.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 (/.f32 x s) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s))
(/.f32 (neg.f32 x) s)
(neg.f32 (/.f32 x s))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
x
s
#s(literal -1 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (neg.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (+.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
(/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))))
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))))
(-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) (/.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+.f32 (/.f32 (*.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))))) (/.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))) (/.f32 (*.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))))
(+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)))) #s(literal -1 binary32)))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 8 binary32))) (neg.f32 (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
(/.f32 (fma.f32 (neg.f32 (neg.f32 x)) #s(literal 2 binary32) (*.f32 (neg.f32 s) #s(literal 4 binary32))) (*.f32 (neg.f32 s) #s(literal 2 binary32)))
(/.f32 (fma.f32 (neg.f32 x) #s(literal 2 binary32) (*.f32 s #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) s))
(/.f32 (fma.f32 #s(literal 4 binary32) (neg.f32 s) (*.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 x)))) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (fma.f32 #s(literal 4 binary32) s (*.f32 #s(literal 2 binary32) (neg.f32 x))) (*.f32 #s(literal 2 binary32) s))
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))
(/.f32 (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))))
(/.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 8 binary32)) (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(-.f32 (/.f32 #s(literal 4 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) (/.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))
(-.f32 (/.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)))
(fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))
(+.f32 (/.f32 #s(literal 8 binary32) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))) (/.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))))
(+.f32 (/.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)) (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (/.f32 #s(literal 8 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #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))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #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(literal 1 binary32)))
(/.f32 #s(literal 1 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))))
(/.f32 #s(literal -1 binary32) (neg.f32 #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)))))
(pow.f32 #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(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #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(literal -1 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)))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 4 binary32) (-.f32 (pow.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 2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 8 binary32))) (neg.f32 (+.f32 (pow.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 4 binary32) (*.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))))))
(/.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) #s(literal -1 binary32)) #s(literal 2 binary32) (*.f32 s #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) s))
(/.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x)) #s(literal 2 binary32) (*.f32 s #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) s))
(/.f32 (fma.f32 #s(literal 4 binary32) s (*.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) #s(literal -1 binary32)))) (*.f32 #s(literal 2 binary32) s))
(/.f32 (fma.f32 #s(literal 4 binary32) s (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x)))) (*.f32 #s(literal 2 binary32) s))
(/.f32 (-.f32 #s(literal 4 binary32) (pow.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 2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
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#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)))
#s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (*.f32 (-.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal -1/2 binary32)))
#s(approx (/ (+ (* -1/2 (/ (* x x) s)) x) s) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x)))
#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 (pow.f32 (/.f32 (neg.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 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (+.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) (log.f32 #s(literal 1/2 binary32))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (+.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (*.f32 (/.f32 x s) #s(literal 1/2 binary32)))) (log.f32 #s(literal 1/2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32)))) (pow.f32 s #s(literal 3 binary32))))) (log.f32 #s(literal 2 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 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #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)))) (-.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 (neg.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 (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 (/.f32 x s) #s(literal -1 binary32) #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 (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (+.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 (/ (+ (* -1/2 (/ (* 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 (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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (*.f32 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 (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)))

eval27.0ms (0.8%)

Memory
-7.5MiB live, 38.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 7 294 to 1 271 computations (82.6% saved)

prune34.0ms (1%)

Memory
-28.5MiB live, 27.0MiB allocated; 6ms collecting garbage
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New26413277
Fresh022
Picked235
Done011
Total26619285
Accuracy
100.0%
Counts
285 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f32 #s(literal 1 binary32) (/.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)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓51.3%
(/.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))))
▶51.6%
(/.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))))
52.9%
(/.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))))
49.8%
(/.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))))
39.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
51.6%
(/.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))))
▶31.6%
(/.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)))))
31.7%
(/.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)))))
39.8%
(/.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))))
19.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
39.6%
(/.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))))
▶99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
59.4%
(exp.f32 #s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32)))))
✓29.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶29.0%
#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)))
▶28.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
✓34.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 845 to 645 computations (23.7% saved)

series77.0ms (2.2%)

Memory
2.6MiB live, 91.4MiB allocated; 10ms collecting garbage
Counts
42 → 143
Calls
Call 1
Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(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)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/4 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 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))
#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 (+ (* (/ (+ (* -1/2 (/ (* 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(literal -1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
Outputs
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (exp (neg (log 2)))))
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))))
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))))
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (* -1 (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ 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 (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ 1/2 x) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* (/ (+ (* -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 (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ 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 (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (/ (+ (* -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 (+ (* (/ (+ (* -1/2 (/ (* 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 (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (+ (* -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 (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))))
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* 1/4 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 (+ (* (/ (+ (* -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 (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))))
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ (* 1/4 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 (+ (* (/ (+ (* -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
22.0ms
s
@-inf
((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 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)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 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) -1/2 -1 2)
15.0ms
s
@0
((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 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)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 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) -1/2 -1 2)
12.0ms
x
@-inf
((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 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)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 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) -1/2 -1 2)
11.0ms
x
@inf
((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 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)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 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) -1/2 -1 2)
5.0ms
x
@0
((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 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)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 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) -1/2 -1 2)

rewrite231.0ms (6.7%)

Memory
-34.4MiB live, 253.3MiB allocated; 116ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05823840
06183495
132563420
084493287
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
185 → 356
Calls
Call 1
Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(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)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/4 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 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))
#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 (+ (* (/ (+ (* -1/2 (/ (* 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(literal -1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (exp (neg (log 2)))))
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))))
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))))
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (* -1 (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2)))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ 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 (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ 1/2 x) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* (/ (+ (* -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 (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ 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 (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (/ (+ (* -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 (+ (* (/ (+ (* -1/2 (/ (* 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 (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (* (/ (+ (* -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 (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))))
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* 1/4 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 (+ (* (/ (+ (* -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 (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))))
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ (* 1/4 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 (+ (* (/ (+ (* -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 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (log1p.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (log1p.f32 (-.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))))))
(log1p.f32 (exp.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 (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(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
(/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))) (neg.f32 s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (/.f32 (*.f32 #s(literal 1/2 binary32) s) s))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) s) s))
(+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (/.f32 (*.f32 #s(literal 1/2 binary32) s) s))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s)))
(/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 1/8 binary32) (pow.f32 s #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal 1/2 binary32) s)))))
(-.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 #s(literal -1/2 binary32) s))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))
(fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s))
(fma.f32 s #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) x))
(fma.f32 x #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) s))
(+.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 #s(literal 1/4 binary32) x))
(+.f32 (*.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)
(*.f32 s #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)
(*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (*.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (*.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) (*.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(+.f32 (*.f32 x (/.f32 #s(literal 1/4 binary32) s)) (*.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 s) (*.f32 (neg.f32 x) #s(literal -1/4 binary32))) (*.f32 (neg.f32 x) (neg.f32 s)))
(/.f32 (fma.f32 #s(literal -1/2 binary32) s (*.f32 (neg.f32 x) #s(literal 1/4 binary32))) (*.f32 (neg.f32 x) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 s) (*.f32 x #s(literal -1/4 binary32))) (*.f32 x (neg.f32 s)))
(/.f32 (fma.f32 #s(literal -1/4 binary32) (neg.f32 x) (*.f32 (neg.f32 s) #s(literal -1/2 binary32))) (*.f32 (neg.f32 s) (neg.f32 x)))
(/.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 (neg.f32 s) #s(literal 1/2 binary32))) (*.f32 s (neg.f32 x)))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (neg.f32 x) (*.f32 s #s(literal -1/2 binary32))) (*.f32 s (neg.f32 x)))
(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)))
(/.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/8 binary32) (/.f32 #s(literal 1/64 binary32) (pow.f32 s #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s x)))))
(/.f32 (fma.f32 (pow.f32 s #s(literal -3 binary32)) #s(literal 1/64 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (*.f32 s x)))))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x))
(-.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) s))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/2 binary32) x))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) #s(literal 2 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 x)))
(/.f32 #s(literal -1/2 binary32) (neg.f32 x))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x))
(pow.f32 (*.f32 x #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1/2 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) s))
(*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal -1/4 binary32) (neg.f32 s))
(/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 s) #s(literal 2 binary32)))
(/.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) s))
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 s (neg.f32 x))) s) s)))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 s (neg.f32 x))) s) 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 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 s (neg.f32 x))) s) s))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 s (neg.f32 x))) s) s))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 s (neg.f32 x))) s) s)))) #s(literal -1 binary32)))
#s(literal 1 binary32)
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#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 #s(literal -1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #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)))

eval36.0ms (1%)

Memory
18.9MiB live, 70.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 12 749 to 1 873 computations (85.3% saved)

prune27.0ms (0.8%)

Memory
10.1MiB live, 56.5MiB allocated; 3ms collecting garbage
Pruning

29 alts after pruning (20 fresh and 9 done)

PrunedKeptTotal
New37413387
Fresh3710
Picked055
Done044
Total37729406
Accuracy
100.0%
Counts
406 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f32 #s(literal 1 binary32) (/.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)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓51.3%
(/.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))))
✓51.6%
(/.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))))
51.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* -1/2 (/ (* x x) s)) x) (*.f32 #s(approx (+ (* (/ x s) -1/2) 1) (/.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
49.8%
(/.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))))
39.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
▶51.6%
(/.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))))
✓31.6%
(/.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)))))
31.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))
31.8%
(/.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)))))
22.3%
(/.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)))))
31.7%
(/.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)))))
29.9%
(/.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)))))
19.0%
(/.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)))))
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 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)))))
▶39.8%
(/.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))))
✓99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
▶59.4%
(exp.f32 #s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32)))))
✓29.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶23.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))))
✓29.0%
#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)))
34.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
19.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x)) x)))
10.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))) x)))
✓28.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
29.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) x)))
▶34.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
✓34.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 626 to 1 166 computations (28.3% saved)

series108.0ms (3.1%)

Memory
-37.0MiB live, 100.1MiB allocated; 17ms collecting garbage
Counts
42 → 145
Calls
Call 1
Inputs
(exp.f32 #s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32))))
(fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 x (*.f32 s s))
x
(*.f32 s s)
s
#s(literal -1/8 binary32)
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
(log.f32 #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))
(*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#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)
(neg.f32 x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s)))
(/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))
(fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s)))
(*.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
(*.f32 s (*.f32 #s(literal 1/2 binary32) s))
(*.f32 #s(literal 1/2 binary32) 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))))
#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 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))
(neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)
(fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x)
(*.f32 x (/.f32 x s))
(/.f32 x s)
#s(literal -1/2 binary32)
Outputs
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (log 1/2)))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (+ (log 1/2) (* 1/2 (/ x s)))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (+ (log 1/2) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (/ 1/2 s)))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (pow s 2))))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ 1/2 x) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 2))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 2))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* 2 s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) #s(hole binary32 1/2))
#s(approx (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* 1/2 (pow s 2))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (+ (* 1/4 (* s x)) (* 1/2 (pow s 2)))))
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 x)))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 2))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (/ x s)))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 x))
#s(approx (+ (* (* x (/ x s)) -1/2) 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 s) #s(hole binary32 (/ x s)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (* -1/8 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/8 (/ 1 (pow s 2)))))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/2 (* s x)) (/ (log 1/2) (pow x 2))) (* 1/8 (/ 1 (pow s 2)))))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (* -1/8 (/ x (pow s 2)))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (* s x))) (* 1/8 (/ 1 (pow s 2)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* -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 (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* 1/4 (* s x))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* x (+ (* 1/4 s) (* 1/2 (/ (pow s 2) x))))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#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 x) (* 1/2 (/ 1 s))))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (log 1/2) x)) (* 1/2 (/ 1 s))) x)) (* 1/8 (/ 1 (pow s 2)))))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (* -1 (* x (- (* 1/8 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))))
#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 (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* -1 (* x (+ (* -1/2 (/ (pow s 2) x)) (* -1/4 s))))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (/ (+ (* -1/8 (pow x 2)) (* 1/2 (* s x))) (pow s 2))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (/ (+ (* -1/8 (pow x 2)) (* s (+ (* 1/2 x) (* s (log 1/2))))) (pow s 2))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (/ (+ (* -1/8 x) (* 1/2 s)) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1/2 s) #s(hole binary32 (/ 1/2 s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (+ (* -1 (/ 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 (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* s (+ (* 1/4 x) (* 1/2 s)))))
#s(approx (* s (* 1/2 s)) #s(hole binary32 (* 1/2 (pow s 2))))
#s(approx (* 1/2 s) #s(hole binary32 (* 1/2 s)))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))))
#s(approx (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (+ (log 1/2) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (/ (+ 1/2 (* -1/8 (/ x s))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* (pow s 2) (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (/ (- (* 1/2 (/ (pow x 2) s)) x) s)))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (+ (log 1/2) (* -1 (/ (+ (* -1/2 x) (* 1/8 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (* -1 (/ (- (* 1/8 (/ x s)) 1/2) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))))
Calls

6 calls:

TimeVariablePointExpression
42.0ms
x
@0
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) (/ x (* s s)) x (* s s) s -1/8 (/ 1/2 s) 1/2 (log 1/2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1 (+ 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 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* 1/4 x) 1/4 (* s (* 1/2 s)) (* 1/2 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) (/ (+ (* (* x (/ x s)) -1/2) x) s) (+ (* (* x (/ x s)) -1/2) x) (* x (/ x s)) (/ x s) -1/2)
25.0ms
s
@0
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) (/ x (* s s)) x (* s s) s -1/8 (/ 1/2 s) 1/2 (log 1/2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1 (+ 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 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* 1/4 x) 1/4 (* s (* 1/2 s)) (* 1/2 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) (/ (+ (* (* x (/ x s)) -1/2) x) s) (+ (* (* x (/ x s)) -1/2) x) (* x (/ x s)) (/ x s) -1/2)
12.0ms
x
@-inf
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) (/ x (* s s)) x (* s s) s -1/8 (/ 1/2 s) 1/2 (log 1/2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1 (+ 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 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* 1/4 x) 1/4 (* s (* 1/2 s)) (* 1/2 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) (/ (+ (* (* x (/ x s)) -1/2) x) s) (+ (* (* x (/ x s)) -1/2) x) (* x (/ x s)) (/ x s) -1/2)
12.0ms
x
@inf
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) (/ x (* s s)) x (* s s) s -1/8 (/ 1/2 s) 1/2 (log 1/2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1 (+ 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 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* 1/4 x) 1/4 (* s (* 1/2 s)) (* 1/2 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) (/ (+ (* (* x (/ x s)) -1/2) x) s) (+ (* (* x (/ x s)) -1/2) x) (* x (/ x s)) (/ x s) -1/2)
5.0ms
s
@-inf
((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) (/ x (* s s)) x (* s s) s -1/8 (/ 1/2 s) 1/2 (log 1/2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) (/ 1 (+ 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 (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* 1/4 x) 1/4 (* s (* 1/2 s)) (* 1/2 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) (/ (+ (* (* x (/ x s)) -1/2) x) s) (+ (* (* x (/ x s)) -1/2) x) (* x (/ x s)) (/ x s) -1/2)

rewrite172.0ms (5%)

Memory
30.3MiB live, 265.8MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05503795
05883445
129253384
081923241
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
187 → 372
Calls
Call 1
Inputs
(exp.f32 #s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32))))
(fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 x (*.f32 s s))
x
(*.f32 s s)
s
#s(literal -1/8 binary32)
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
(log.f32 #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))
(*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#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)
(neg.f32 x)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s)))
(/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))
(fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s)))
(*.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
(*.f32 s (*.f32 #s(literal 1/2 binary32) s))
(*.f32 #s(literal 1/2 binary32) 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))))
#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 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))
(neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)
(fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x)
(*.f32 x (/.f32 x s))
(/.f32 x s)
#s(literal -1/2 binary32)
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 1/2))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log 2))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (log 1/2)))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (+ (log 1/2) (* 1/2 (/ x s)))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (+ (log 1/2) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (/ 1/2 s)))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (pow s 2))))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x)))
#s(approx (/ 1/2 x) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 2))
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 2))
#s(approx (/ (+ (* 2 s) (neg x)) s) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* 2 s)))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (+ (* -1 x) (* 2 s))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) #s(hole binary32 1/2))
#s(approx (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* 1/2 (pow s 2))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (+ (* 1/4 (* s x)) (* 1/2 (pow s 2)))))
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 x)))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 2))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (/ x s)))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 x))
#s(approx (+ (* (* x (/ x s)) -1/2) 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 s) #s(hole binary32 (/ x s)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s))))))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (* -1/8 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (* s x))) (* 1/8 (/ 1 (pow s 2)))))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/2 (* s x)) (/ (log 1/2) (pow x 2))) (* 1/8 (/ 1 (pow s 2)))))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (* -1/8 (/ x (pow s 2)))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (* s x))) (* 1/8 (/ 1 (pow s 2)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* -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 (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* 1/4 (* s x))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* x (+ (* 1/4 s) (* 1/2 (/ (pow s 2) x))))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#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 x) (* 1/2 (/ 1 s))))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (log 1/2) x)) (* 1/2 (/ 1 s))) x)) (* 1/8 (/ 1 (pow s 2)))))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (* -1 (* x (- (* 1/8 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))))
#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 (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* -1 (* x (+ (* -1/2 (/ (pow s 2) x)) (* -1/4 s))))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (/ (+ (* -1/8 (pow x 2)) (* 1/2 (* s x))) (pow s 2))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (/ (+ (* -1/8 (pow x 2)) (* s (+ (* 1/2 x) (* s (log 1/2))))) (pow s 2))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (/ (+ (* -1/8 x) (* 1/2 s)) (pow s 2))))
#s(approx (* s s) #s(hole binary32 (pow s 2)))
#s(approx s #s(hole binary32 s))
#s(approx (/ 1/2 s) #s(hole binary32 (/ 1/2 s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s)))
#s(approx (+ (* -1 (/ 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 (/ (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (* s s)) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* s (+ (* 1/4 x) (* 1/2 s)))))
#s(approx (* s (* 1/2 s)) #s(hole binary32 (* 1/2 (pow s 2))))
#s(approx (* 1/2 s) #s(hole binary32 (* 1/2 s)))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))))
#s(approx (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s)))))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (+ (log 1/2) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (/ (+ 1/2 (* -1/8 (/ x s))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s))))))
#s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) #s(hole binary32 (* (pow s 2) (+ 1/2 (* 1/4 (/ x s))))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (/ (- (* 1/2 (/ (pow x 2) s)) x) s)))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
#s(approx (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s)))))
#s(approx (+ (* (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) x) (log 1/2)) #s(hole binary32 (+ (log 1/2) (* -1 (/ (+ (* -1/2 x) (* 1/8 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) #s(hole binary32 (* -1 (/ (- (* 1/8 (/ x s)) 1/2) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* 2 s) (neg x)) #s(hole binary32 (* -1 (* s (- (/ x s) 2)))))
#s(approx (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))))
#s(approx (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))))
Outputs
(+.f32 (cosh.f32 #s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32))))) (sinh.f32 #s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32))))))
(exp.f32 #s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32)))))
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32))))
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#s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) s)))
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (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 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (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 (exp (/ (neg 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 (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 (+ (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) 2) (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 (neg (/ (+ (* (* x (/ x s)) -1/2) x) s)) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) (neg.f32 x)) s)))
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s)))

eval40.0ms (1.1%)

Memory
-2.4MiB live, 86.7MiB allocated; 14ms collecting garbage
Compiler

Compiled 13 455 to 1 953 computations (85.5% saved)

prune37.0ms (1.1%)

Memory
14.8MiB live, 77.6MiB allocated; 19ms collecting garbage
Pruning

28 alts after pruning (18 fresh and 10 done)

PrunedKeptTotal
New4135418
Fresh21315
Picked235
Done279
Total41928447
Accuracy
100.0%
Counts
447 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f32 #s(literal 1 binary32) (/.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)))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
39.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
51.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))))
49.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 #s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s)))) #s(literal 2 binary32))))
✓31.6%
(/.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)))))
31.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (+ (* -1/2 (/ (* x x) s)) x) s) -1) 2) (/.f32 #s(approx (+ (* (* x x) 1/2) (neg (* s x))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))
31.8%
(/.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)))))
22.3%
(/.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)))))
31.7%
(/.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)))))
29.9%
(/.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)))))
19.0%
(/.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)))))
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 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)))))
✓39.8%
(/.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))))
✓99.9%
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
59.4%
(exp.f32 #s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 #s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/8 binary32) x)) (*.f32 s s))) x (log.f32 #s(literal 1/2 binary32)))))
✓29.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓23.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))))
✓29.0%
#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)))
27.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) s) s)))
24.4%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s s))))
34.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
19.3%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x)) x)))
10.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))) x)))
✓28.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
29.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) x)))
✓34.1%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
✓34.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 2 067 to 915 computations (55.7% saved)

regimes70.0ms (2%)

Memory
-28.8MiB live, 160.0MiB allocated; 13ms collecting garbage
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) x)))
(/.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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #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 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) 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 #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 (+ (* (/ (+ (* -1/2 (/ (* 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 (*.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 #s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s)))) #s(literal 2 binary32))))
(/.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))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x 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 #s(approx (+ (* (/ x s) -1/2) 1) (/.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #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 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 #s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 #s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/8 binary32) x)) (*.f32 s s))) x (log.f32 #s(literal 1/2 binary32)))))
(exp.f32 #s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.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)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
Calls

7 calls:

13.0ms
(neg.f32 x)
11.0ms
x
10.0ms
s
9.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
99.9%1(neg.f32 x)
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1x
99.9%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes61.0ms (1.8%)

Memory
21.8MiB live, 162.6MiB allocated; 4ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) x)))
(/.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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #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 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) 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 #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 (+ (* (/ (+ (* -1/2 (/ (* 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 (*.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 #s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s)))) #s(literal 2 binary32))))
(/.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))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x 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 #s(approx (+ (* (/ x s) -1/2) 1) (/.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #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 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))) x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 #s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 #s(approx (+ (* (/ x (* s s)) -1/8) (/ 1/2 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/8 binary32) x)) (*.f32 s s))) x (log.f32 #s(literal 1/2 binary32)))))
(exp.f32 #s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.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)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

10.0ms
(neg.f32 x)
10.0ms
x
9.0ms
s
8.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
99.9%1(neg.f32 x)
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1x
99.9%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes71.0ms (2.1%)

Memory
-23.0MiB live, 121.7MiB allocated; 6ms collecting garbage
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) x)))
(/.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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #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 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) 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 #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 (+ (* (/ (+ (* -1/2 (/ (* 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 (*.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 #s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s)))) #s(literal 2 binary32))))
(/.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))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x 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 #s(approx (+ (* (/ x s) -1/2) 1) (/.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #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 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s))) x)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
Calls

7 calls:

19.0ms
(neg.f32 x)
13.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
11.0ms
s
8.0ms
x
7.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
62.7%2(neg.f32 x)
62.8%2(/.f32 (neg.f32 x) s)
62.8%2(exp.f32 (/.f32 (neg.f32 x) s))
62.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
62.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
62.7%2x
52.9%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes47.0ms (1.4%)

Memory
18.4MiB live, 63.7MiB allocated; 3ms collecting garbage
Counts
30 → 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)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) x)))
(/.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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #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 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) 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 #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 (+ (* (/ (+ (* -1/2 (/ (* 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 (*.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 #s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s)))) #s(literal 2 binary32))))
(/.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))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x 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 #s(approx (+ (* (/ x s) -1/2) 1) (/.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #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
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) 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) #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

6 calls:

14.0ms
(neg.f32 x)
7.0ms
x
7.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
60.4%2x
60.4%2(neg.f32 x)
64.7%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
64.7%3(/.f32 (neg.f32 x) s)
64.7%3(exp.f32 (/.f32 (neg.f32 x) s))
64.7%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes41.0ms (1.2%)

Memory
-20.6MiB live, 71.3MiB allocated; 16ms collecting garbage
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) x)))
(/.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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #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 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) 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 #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 (+ (* (/ (+ (* -1/2 (/ (* 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 (*.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 #s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s)))) #s(literal 2 binary32))))
(/.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))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x 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 #s(approx (+ (* (/ x s) -1/2) 1) (/.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #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
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 #s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s)))) #s(literal 2 binary32))))
Calls

5 calls:

12.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms
(neg.f32 x)
7.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
6.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
60.4%2(neg.f32 x)
60.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
60.0%2(/.f32 (neg.f32 x) s)
60.0%2(exp.f32 (/.f32 (neg.f32 x) s))
60.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 27 to 27 computations (0% saved)

regimes33.0ms (0.9%)

Memory
27.8MiB live, 74.0MiB allocated; 2ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) x)))
(/.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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #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 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) 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 #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 (+ (* (/ (+ (* -1/2 (/ (* 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 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) 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 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))
Calls

6 calls:

6.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
6.0ms
(neg.f32 x)
6.0ms
x
5.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
62.1%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
62.2%3(/.f32 (neg.f32 x) s)
62.1%3(exp.f32 (/.f32 (neg.f32 x) s))
62.1%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
60.3%3x
60.3%3(neg.f32 x)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes6.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Counts
20 → 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)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) x)))
(/.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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #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 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) 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 #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))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) 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 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))
Calls

1 calls:

5.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
62.2%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 4 to 4 computations (0% saved)

regimes7.0ms (0.2%)

Memory
-29.6MiB live, 15.9MiB allocated; 3ms collecting garbage
Counts
18 → 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)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) x)))
(/.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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #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 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) s) s)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) 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

1 calls:

7.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
62.2%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 4 to 4 computations (0% saved)

regimes35.0ms (1%)

Memory
-11.8MiB live, 51.4MiB allocated; 11ms collecting garbage
Counts
16 → 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)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) x)))
(/.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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 s (*.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) 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

7 calls:

11.0ms
(neg.f32 x)
4.0ms
s
4.0ms
x
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
39.8%1s
49.1%2x
49.1%2(neg.f32 x)
53.6%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
53.6%3(exp.f32 (/.f32 (neg.f32 x) s))
53.6%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
53.6%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes23.0ms (0.7%)

Memory
-7.2MiB live, 38.1MiB allocated; 3ms 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)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) x)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
(/.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:

6.0ms
x
4.0ms
(neg.f32 x)
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
48.2%2x
48.2%2(neg.f32 x)
48.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.6%2(exp.f32 (/.f32 (neg.f32 x) s))
48.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
48.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes14.0ms (0.4%)

Memory
29.5MiB live, 29.5MiB allocated; 0ms collecting garbage
Counts
8 → 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)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* (* 1/4 x) s) (* s (* 1/2 s))) (*.f32 (*.f32 s s) #s(literal 1/2 binary32))) (*.f32 s s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) 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 (/ x s)) 2) (/.f32 (neg.f32 x) s))))
Calls

6 calls:

3.0ms
(neg.f32 x)
3.0ms
x
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
46.5%2x
46.5%2(neg.f32 x)
49.8%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.8%3(/.f32 (neg.f32 x) s)
49.8%3(exp.f32 (/.f32 (neg.f32 x) s))
49.8%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes44.0ms (1.3%)

Memory
-18.8MiB live, 27.2MiB allocated; 3ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#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(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
Calls

7 calls:

33.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms
(neg.f32 x)
2.0ms
x
2.0ms
s
2.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
34.2%1s
34.2%1x
34.2%1(neg.f32 x)
34.2%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.2%1(/.f32 (neg.f32 x) s)
34.2%1(exp.f32 (/.f32 (neg.f32 x) s))
34.2%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes8.0ms (0.2%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

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

7 calls:

1.0ms
x
1.0ms
s
1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(neg.f32 x)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
34.2%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
34.2%1x
34.2%1s
34.2%1(neg.f32 x)
34.2%1(/.f32 (neg.f32 x) s)
34.2%1(exp.f32 (/.f32 (neg.f32 x) s))
34.2%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
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.0000343322753906
2.00008225440979
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.6471729278564453
+inf
0.0ms
1.0002565383911133
1.2199230194091797
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.035229205244824e-25
1.5046223302040806e-23
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
452.191162109375
1471.5302734375
0.0ms
-8.268132209777832
-1.5144778490066528
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
452.191162109375
1471.5302734375
0.0ms
-8.268132209777832
-1.5144778490066528
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
452.191162109375
1471.5302734375
0.0ms
-8.268132209777832
-1.5144778490066528
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
452.191162109375
1471.5302734375
0.0ms
-8.268132209777832
-1.5144778490066528
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2199230194091797
1.7221510410308838
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.6471729278564453
+inf
0.0ms
1.0002565383911133
1.2199230194091797
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify73.0ms (2.1%)

Memory
-6.8MiB live, 86.5MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0138885
1217876
2456867
31605862
45682862
Stop Event
1×node limit
Calls
Call 1
Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4194409/2097152 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5033165/4194304 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #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) #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)))))))
(if (<=.f32 (neg.f32 x) #s(literal 10141205/10141204801825835211973625643008 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 #s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 binary32)) #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 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 binary32)) #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 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 binary32)) #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)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 binary32)) #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)))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5033165/4194304 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #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 (/ x s)) 2) (/.f32 (neg.f32 x) s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4194409/2097152 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5033165/4194304 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #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) #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)))))))
(if (<=.f32 (neg.f32 x) #s(literal 10141205/10141204801825835211973625643008 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (neg.f32 #s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) (*.f32 s x)) (*.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 binary32)) #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 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (*.f32 s x))) (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 binary32)) #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 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 s (neg.f32 x))) (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 binary32)) #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 (*.f32 #s(literal 1/2 binary32) x) s) x)) (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 binary32)) #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)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 binary32)) #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)))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5033165/4194304 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s))) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #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 (/ x s)) 2) (/.f32 (neg.f32 x) s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/4 x) (* 1/2 s)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

derivations442.0ms (12.7%)

Memory
6.6MiB live, 335.5MiB allocated; 27ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 886 to 142 computations (84% saved)

preprocess55.0ms (1.6%)

Memory
8.0MiB live, 52.4MiB allocated; 15ms collecting garbage
Compiler

Compiled 1 790 to 300 computations (83.2% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...