Logistic function

Time bar (total: 6.3s)

start0.0ms (0%)

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

analyze64.0ms (1%)

Memory
6.8MiB live, 99.8MiB allocated; 27ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.2s (18.6%)

Memory
74.6MiB live, 1 387.8MiB allocated; 424ms collecting garbage
Samples
886.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 617.0ms
const: 192.0ms (31.1% of total)
ival-div: 141.0ms (22.9% of total)
ival-<=: 74.0ms (12% of total)
ival-add: 72.0ms (11.7% of total)
ival-exp: 63.0ms (10.2% of total)
ival-neg: 47.0ms (7.6% of total)
ival-and: 11.0ms (1.8% of total)
exact: 11.0ms (1.8% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain106.0ms (1.7%)

Memory
-5.4MiB live, 188.0MiB allocated; 35ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
12(-5.303518965549009e-24 4.563921487086725e-26)1(-1.6494515064026464e-28 4.2542043335920016e-30)(exp.f32 (/.f32 (neg.f32 x) s))
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
00-0-(neg.f32 x)
00-0-(/.f32 (neg.f32 x) s)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 x) s))sensitivity21
Confusion
Predicted +Predicted -
+00
-2254
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-21253
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0254
12
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: 22.0ms
ival-div: 11.0ms (51.2% of total)
ival-exp: 4.0ms (18.6% of total)
ival-neg: 3.0ms (14% of total)
ival-add: 2.0ms (9.3% 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)

preprocess223.0ms (3.5%)

Memory
-8.9MiB live, 288.2MiB allocated; 81ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify802.0ms (12.7%)

Memory
-97.5MiB live, 387.9MiB allocated; 948ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (neg.f32 x) s)
cost-diff0
(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff0
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
01330
12130
24330
311830
442730
5471330
0851530
Stop Event
iter limit
node limit
iter limit
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
(/.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)))
#s(literal 1 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))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s

localize22.0ms (0.4%)

Memory
7.6MiB live, 57.0MiB allocated; 2ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f32 x)
accuracy0.01953125
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy0.0390625
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy0.04999719383407002
(exp.f32 (/.f32 (neg.f32 x) s))
Samples
16.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (40.7% of total)
ival-exp: 2.0ms (20.3% of total)
ival-neg: 2.0ms (20.3% of total)
ival-add: 1.0ms (10.2% 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)

series11.0ms (0.2%)

Memory
-24.0MiB live, 23.1MiB allocated; 3ms collecting garbage
Counts
5 → 29
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(+.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)
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 (/ 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 (/ 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
3.0ms
s
@0
((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
2.0ms
x
@0
((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
2.0ms
x
@inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
2.0ms
s
@inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
1.0ms
x
@-inf
((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))

simplify165.0ms (2.6%)

Memory
1.7MiB live, 242.8MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174601
1477569
21836565
08805541
Stop Event
iter limit
node limit
Counts
29 → 29
Calls
Call 1
Inputs
#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 (/ 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 (/ 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
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#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)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
#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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 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))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#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 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 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)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#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 (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s))))
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (neg x) (neg.f32 x))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#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))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#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)) #s(hole binary32 (exp (* -1 (/ x s)))))
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
#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))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
#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 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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)))
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
#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 (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.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)))
#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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
#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))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) 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 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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)))
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) 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 (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.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)))

rewrite53.0ms (0.8%)

Memory
12.7MiB live, 66.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
14327
025427
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
5 → 46
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(+.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)
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) (-.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) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 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)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #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 (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 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #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))))
(/.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) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(-.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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.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 (-.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)))
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (*.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 s))
(neg.f32 (/.f32 x s))
(neg.f32 x)

eval6.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 145 to 260 computations (77.3% saved)

prune16.0ms (0.3%)

Memory
-21.1MiB live, 26.0MiB allocated; 1ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New571067
Fresh000
Picked011
Done000
Total571168
Accuracy
99.9%
Counts
68 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.6%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
54.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
53.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
99.2%
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
43.8%
(*.f32 (/.f32 #s(literal 1 binary32) (-.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))))
30.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
36.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 371 to 278 computations (25.1% saved)

simplify148.0ms (2.3%)

Memory
5.9MiB live, 192.8MiB allocated; 16ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
cost-diff1
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
cost-diff2
(*.f32 (/.f32 #s(literal 1 binary32) (-.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))))
cost-diff0
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
cost-diff0
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff0
(/.f32 x s)
cost-diff0
(-.f32 #s(literal 2 binary32) (/.f32 x s))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
cost-diff0
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
cost-diff0
(exp.f32 (/.f32 x s))
cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
cost-diff1
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036254
060251
197249
2223244
3743244
43938244
08899244
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
x
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (-.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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
x
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (-.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 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))

localize94.0ms (1.5%)

Memory
-21.6MiB live, 171.6MiB allocated; 13ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0854306888280613
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
accuracy1.0607906185687779
(*.f32 (/.f32 #s(literal 1 binary32) (-.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))))
accuracy6.1726826793563445
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
accuracy6.223630077188822
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy0.10384750976844201
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
accuracy0.6854958125590739
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy3.1666220613541336
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
accuracy12.656777515119273
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy0.0
(/.f32 x s)
accuracy0.010097509768442016
(-.f32 #s(literal 2 binary32) (/.f32 x s))
accuracy0.0390625
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
accuracy13.568555948599387
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
accuracy10.680810635233911
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy0.01953125
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
accuracy0.03515625
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
accuracy0.0390625
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
accuracy0.06258737426964239
(exp.f32 (/.f32 x s))
Samples
52.0ms174×0valid
17.0ms82×0exit
Compiler

Compiled 213 to 33 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 19.0ms (35.3% of total)
ival-div: 16.0ms (29.7% of total)
ival-exp: 6.0ms (11.1% of total)
ival-expm1: 4.0ms (7.4% of total)
ival-add: 3.0ms (5.6% of total)
ival-neg: 3.0ms (5.6% of total)
ival-sub: 2.0ms (3.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.6%)

Memory
42.3MiB live, 88.7MiB allocated; 6ms collecting garbage
Counts
21 → 135
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 x s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (-.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 (neg.f32 x) s) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (-.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 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
Outputs
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 1))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 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 (- 2 (/ x s)) #s(hole binary32 2))
#s(approx (- 2 (/ x s)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 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) 2)))) (- 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 (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* 1/2 (/ s x))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ (+ (* 1/2 s) (* 1/2 x)) x)))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ (+ (* 1/2 s) (* x (+ 1/2 (* 1/6 (/ x s))))) x)))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ (+ (* 1/2 s) (* x (+ 1/2 (* x (+ (* -1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s))))))) x)))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* 2 (/ x s))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (* (/ 1/2 (* s s)) x) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ x s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 1))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -2 (/ x s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ 1 (- 1 (exp (* -2 (/ x s)))))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (- 1 (exp (* -2 (/ x s))))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (- 1 (exp (* -1 (/ x s))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (exp (* -2 (/ x s)))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (/ 1/2 (* s s)) #s(hole binary32 (/ 1/2 (pow s 2))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* s (+ (* -1 (/ (+ (* -1/2 x) (* 1/3 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* s (- (+ (* -1 (/ (+ (* -1/6 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (+ (* -1/2 x) (* 1/3 x))))) (pow s 3))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))) (+ (* -1/2 (/ x (pow s 2))) (* 1/3 (/ x (pow s 2))))))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s)))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* 1/6 (/ (pow x 3) (pow s 2))) (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* -1/24 (/ (pow x 4) (pow s 3))) (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))) s)))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ 1/2 (+ (* -1/3 (/ x s)) (* 1/2 (/ x s)))) s)) (* 1/2 (/ 1 x)))))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/3 x) (* 1/2 x))) s)) (+ (* -1/6 (/ (pow x 2) s)) (* 1/3 (/ (pow x 2) s)))) (+ (* -1/3 x) (* 1/2 x))) s))) s)) (* 1/2 (/ 1 x)))))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* -1 (/ (- (* 2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
s
@0
((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (* (/ (neg x) s) 2) (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (* (/ (neg x) s) 2))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (- 1 (exp (/ (neg x) s))) (exp (* (/ (neg x) s) 2)))
6.0ms
x
@0
((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (* (/ (neg x) s) 2) (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (* (/ (neg x) s) 2))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (- 1 (exp (/ (neg x) s))) (exp (* (/ (neg x) s) 2)))
6.0ms
s
@inf
((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (* (/ (neg x) s) 2) (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (* (/ (neg x) s) 2))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (- 1 (exp (/ (neg x) s))) (exp (* (/ (neg x) s) 2)))
5.0ms
x
@inf
((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (* (/ (neg x) s) 2) (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (* (/ (neg x) s) 2))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (- 1 (exp (/ (neg x) s))) (exp (* (/ (neg x) s) 2)))
5.0ms
x
@-inf
((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (* (/ (neg x) s) 2) (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (* (/ (neg x) s) 2))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (- 1 (exp (/ (neg x) s))) (exp (* (/ (neg x) s) 2)))

simplify268.0ms (4.2%)

Memory
12.7MiB live, 241.3MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07413672
122783332
087133191
Stop Event
iter limit
node limit
Counts
135 → 135
Calls
Call 1
Inputs
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 1))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 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 (- 2 (/ x s)) #s(hole binary32 2))
#s(approx (- 2 (/ x s)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 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) 2)))) (- 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 (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* 1/2 (/ s x))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ (+ (* 1/2 s) (* 1/2 x)) x)))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ (+ (* 1/2 s) (* x (+ 1/2 (* 1/6 (/ x s))))) x)))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ (+ (* 1/2 s) (* x (+ 1/2 (* x (+ (* -1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s))))))) x)))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* 2 (/ x s))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s))))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))
#s(approx (* (/ 1/2 (* s s)) x) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ x s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 1))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -2 (/ x s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (/ x s))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ 1 (- 1 (exp (* -2 (/ x s)))))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (- 1 (exp (* -2 (/ x s))))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (- 1 (exp (* -1 (/ x s))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (exp (* -2 (/ x s)))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (/ 1/2 (* s s)) #s(hole binary32 (/ 1/2 (pow s 2))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* s (+ (* -1 (/ (+ (* -1/2 x) (* 1/3 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* s (- (+ (* -1 (/ (+ (* -1/6 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (+ (* -1/2 x) (* 1/3 x))))) (pow s 3))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))) (+ (* -1/2 (/ x (pow s 2))) (* 1/3 (/ x (pow s 2))))))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s)))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s)))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s))))) s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* 1/6 (/ (pow x 3) (pow s 2))) (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))) s)))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* -1/24 (/ (pow x 4) (pow s 3))) (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))) s)))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2)))))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2))))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ 1/2 (+ (* -1/3 (/ x s)) (* 1/2 (/ x s)))) s)) (* 1/2 (/ 1 x)))))))
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/3 x) (* 1/2 x))) s)) (+ (* -1/6 (/ (pow x 2) s)) (* 1/3 (/ (pow x 2) s)))) (+ (* -1/3 x) (* 1/2 x))) s))) s)) (* 1/2 (/ 1 x)))))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* -1 (/ (- (* 2 (/ (pow x 2) s)) (* 2 x)) s))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))))
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s)))))
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))))
Outputs
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(literal 1 binary32))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) (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 (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ 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 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (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)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(literal 2 binary32))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (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 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ 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 (/ x s)) #s(hole binary32 1))
#s(approx (exp (/ x s)) #s(literal 1 binary32))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ x s)) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#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 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (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)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 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 (/ 1 (exp (/ 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))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ 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 (- 2 (/ x s)) #s(hole binary32 2))
#s(approx (- 2 (/ x s)) #s(literal 2 binary32))
#s(approx (- 2 (/ x s)) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (- 2 (/ x s)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (/ x s) (/.f32 x s))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(literal 2 binary32))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (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 (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
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#s(approx (exp (* (/ (neg x) s) 2)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) x (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -4/3 binary32))) (neg.f32 s))) s)))

rewrite96.0ms (1.5%)

Memory
-4.5MiB live, 95.9MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036217
060204
1202201
01271201
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
21 → 279
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 x s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (-.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 (neg.f32 x) s) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (-.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 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))
Outputs
(*.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)))
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (-.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) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(+.f32 (*.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)))
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))
(exp.f32 (/.f32 (neg.f32 x) s))
(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 x s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)))) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32)))) (fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) #s(literal -1 binary32)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) #s(literal -1 binary32)) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 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)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #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 (neg.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32))) (*.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32))) (*.f32 (fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.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) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (pow.f32 (exp.f32 (/.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 (/.f32 x s)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))) (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))))))
(+.f32 (sinh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 x s))))
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(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 x s)))
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(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)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))
(*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) s))
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
(/.f32 (*.f32 #s(literal 2 binary32) x) (neg.f32 s))
(/.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32))) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)
(fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) (*.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s)))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s)) (*.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s)))
(+.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))
(+.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s))
(neg.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)))) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32)))) (fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
(pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))))
(*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)))) (neg.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32)))) (neg.f32 (fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32))) (fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32)) (fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 x (fabs.f32 s)))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s)) (neg.f32 s))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fabs.f32 s)) (fabs.f32 s))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(/.f32 (*.f32 #s(literal -1/2 binary32) x) (*.f32 (neg.f32 s) s))
(/.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) s)
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 (neg.f32 s) s))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (*.f32 (neg.f32 s) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s))
(/.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (fabs.f32 s))
(/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) s)
(/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 s) s))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))
(neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 s) s)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.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 (neg.f32 x) s))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32))) (*.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32))) (*.f32 (fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (fabs.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (fabs.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))
(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 (-.f32 (*.f32 (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 (*.f32 (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) (exp.f32 (/.f32 x s))))
(/.f32 #s(literal -1 binary32) (*.f32 (exp.f32 (/.f32 x s)) (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 x s))))
(fma.f32 (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32) (*.f32 (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 (cosh.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (*.f32 #s(literal 1 binary32) (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s))
(pow.f32 (*.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 x s))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
(+.f32 (*.f32 (cosh.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s))) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (*.f32 (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (*.f32 #s(literal 1 binary32) (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 #s(literal 1 binary32) (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(+.f32 (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(+.f32 (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))

eval57.0ms (0.9%)

Memory
-25.5MiB live, 62.8MiB allocated; 17ms collecting garbage
Compiler

Compiled 10 105 to 1 648 computations (83.7% saved)

prune43.0ms (0.7%)

Memory
-12.8MiB live, 46.7MiB allocated; 8ms collecting garbage
Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New34720367
Fresh325
Picked145
Done011
Total35127378
Accuracy
99.9%
Counts
378 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.8%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
60.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
64.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))))
63.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
54.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
52.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
53.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
19.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
32.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
34.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
43.9%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
43.8%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
9.9%
(*.f32 #s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x (*.f32 #s(literal 1/2 binary32) s)) x)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
30.0%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
36.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
43.8%
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))
Compiler

Compiled 1 239 to 901 computations (27.3% saved)

simplify116.0ms (1.8%)

Memory
-7.5MiB live, 183.3MiB allocated; 32ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff1
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
cost-diff0
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
cost-diff1
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
cost-diff0
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)))
cost-diff0
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
cost-diff0
(/.f32 x s)
cost-diff0
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
cost-diff0
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))
cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))))
cost-diff1
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059571
094570
1159570
2372570
31097570
43921554
08080529
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))
#s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)
(-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x)
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32))
(/.f32 (*.f32 x x) s)
(*.f32 x x)
x
s
#s(literal -1/2 binary32)
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)))
(*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))
(/.f32 x (*.f32 s s))
x
(*.f32 s s)
s
#s(literal 1/2 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
#s(literal -1/2 binary32)
(/.f32 x s)
x
s
(neg.f32 s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
#s(literal 1/2 binary32)
(/.f32 (*.f32 #s(literal -1/6 binary32) x) s)
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
x
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x x) s) #s(literal 1 binary32)))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))
(-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x x) s) #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x x) s) #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))
#s(approx (exp (/ x s)) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x x) s) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))
(+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x x) s) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)
(-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x)
(-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x)
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32))
(*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s))
(/.f32 (*.f32 x x) s)
(*.f32 x x)
x
s
#s(literal -1/2 binary32)
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)))
(*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))
(/.f32 x (*.f32 s s))
(/.f32 (/.f32 x s) s)
x
(*.f32 s s)
s
#s(literal 1/2 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
#s(literal -1/2 binary32)
(/.f32 x s)
x
s
(neg.f32 s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s))
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s)
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 (*.f32 #s(literal -1/6 binary32) x) s)
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
x
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)

localize195.0ms (3.1%)

Memory
46.2MiB live, 326.6MiB allocated; 33ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1953125
(*.f32 #s(literal -1/6 binary32) x)
accuracy0.6636682310734308
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy2.815916562328791
(*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
accuracy13.392124181701176
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy0.046875
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
accuracy0.17861789579652726
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
accuracy0.6854958125590739
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))
accuracy12.656777515119273
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))
accuracy0.6854958125590739
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))
accuracy2.703664370058948
(/.f32 x (*.f32 s s))
accuracy8.74046980684206
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)))
accuracy12.656777515119273
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))
accuracy0.0
(/.f32 x s)
accuracy0.1953807182068752
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy12.523086620175805
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
accuracy0.0390625
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))))
accuracy0.0703125
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)
accuracy2.708747130515046
(/.f32 (*.f32 x x) s)
accuracy4.94726034889757
#s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))
Samples
68.0ms174×0valid
50.0ms82×0exit
Compiler

Compiled 342 to 49 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-div: 48.0ms (48.7% of total)
ival-mult: 27.0ms (27.4% of total)
ival-add: 8.0ms (8.1% of total)
ival-sub: 5.0ms (5.1% of total)
ival-exp: 4.0ms (4.1% of total)
const: 4.0ms (4.1% of total)
ival-neg: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series74.0ms (1.2%)

Memory
-36.6MiB live, 111.6MiB allocated; 12ms collecting garbage
Counts
26 → 143
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
#s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))
(/.f32 (*.f32 x x) s)
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)
(/.f32 x (*.f32 s s))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
(*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
(*.f32 #s(literal -1/6 binary32) x)
Outputs
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 1))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (/ -1 s)))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 1/2))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (+ 1/2 (* -1/6 (/ x s)))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 1))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s)))
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ 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 (* s s)) #s(hole binary32 (/ x (pow s 2))))
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 1))
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (+ 1 (* -1/2 (/ x s)))))
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (* -1/6 x) #s(hole binary32 (* -1/6 x)))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* -1/6 (/ x s))))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1/6 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#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 (* -1 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (* -1/2 (/ x s))))
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* -1/6 (/ (pow x 2) (pow s 3)))))
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))))
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s x) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s (+ s x)) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (/ (+ (* -1/6 x) (* 1/2 s)) s)))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))))
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ (+ (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (/ (+ s (* -1/2 x)) s)))
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 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 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) x) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 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 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ x (* 1/2 (/ (pow x 2) s))) s))))
Calls

6 calls:

TimeVariablePointExpression
36.0ms
s
@-inf
((- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (exp (/ x s)) (/ (* x x) s) (/ (- (* (/ (* x x) s) -1/2) x) s) (/ x (* s s)) (+ (* -1/2 (/ x s)) 1) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
10.0ms
s
@0
((- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (exp (/ x s)) (/ (* x x) s) (/ (- (* (/ (* x x) s) -1/2) x) s) (/ x (* s s)) (+ (* -1/2 (/ x s)) 1) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
9.0ms
x
@-inf
((- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (exp (/ x s)) (/ (* x x) s) (/ (- (* (/ (* x x) s) -1/2) x) s) (/ x (* s s)) (+ (* -1/2 (/ x s)) 1) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
7.0ms
x
@0
((- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (exp (/ x s)) (/ (* x x) s) (/ (- (* (/ (* x x) s) -1/2) x) s) (/ x (* s s)) (+ (* -1/2 (/ x s)) 1) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
6.0ms
x
@inf
((- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (exp (/ x s)) (/ (* x x) s) (/ (- (* (/ (* x x) s) -1/2) x) s) (/ x (* s s)) (+ (* -1/2 (/ x s)) 1) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))

simplify195.0ms (3.1%)

Memory
12.3MiB live, 244.1MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05683668
116043355
266803337
088643139
Stop Event
iter limit
node limit
Counts
143 → 143
Calls
Call 1
Inputs
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 1))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (/ -1 s)))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 1/2))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (+ 1/2 (* -1/6 (/ x s)))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 1))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s)))
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ 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 (* s s)) #s(hole binary32 (/ x (pow s 2))))
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 1))
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (+ 1 (* -1/2 (/ x s)))))
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (* -1/6 x) #s(hole binary32 (* -1/6 x)))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* -1/6 (/ x s))))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1/6 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#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 (* -1 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (* -1/2 (/ x s))))
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))))
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* -1/6 (/ (pow x 2) (pow s 3)))))
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))))
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s x) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s (+ s x)) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2))))
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (/ (+ (* -1/6 x) (* 1/2 s)) s)))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))))
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ (+ (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (/ (+ s (* -1/2 x)) s)))
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 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 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) x) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 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 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ x (* 1/2 (/ (pow x 2) s))) s))))
Outputs
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 1))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(literal 1 binary32))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+.f32 #s(literal 1 binary32) (/.f32 x s)))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 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)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(literal 1 binary32))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
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#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) 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 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s)))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s)))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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)))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ x s)) (/.f32 (fma.f32 #s(literal 1 binary32) (+.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) x) s) s))
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ x (* 1/2 (/ (pow x 2) s))) s))))
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x s) x) (neg.f32 s)))

rewrite104.0ms (1.6%)

Memory
28.1MiB live, 129.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059453
094452
1353452
02514447
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
26 → 275
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
#s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))
(/.f32 (*.f32 x x) s)
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)
(/.f32 x (*.f32 s s))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
(*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
(*.f32 #s(literal -1/6 binary32) x)
Outputs
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 3 binary32))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32))) (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 2 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 3 binary32)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) s)) (/.f32 x s))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -3 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))))))
(*.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))))) #s(literal -1 binary32))))
(/.f32 (-.f32 (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -2 binary32)) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -3 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))))))
(/.f32 (+.f32 (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))))))
(/.f32 (+.f32 (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -3 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))))) (/.f32 (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))))))
(-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32))
(fma.f32 (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -1/2 binary32)) #s(literal 1 binary32))
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(fma.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(fma.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(*.f32 #s(literal -1/6 binary32) x)
(*.f32 x #s(literal -1/6 binary32))

eval43.0ms (0.7%)

Memory
-25.5MiB live, 65.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 14 674 to 2 042 computations (86.1% saved)

prune29.0ms (0.5%)

Memory
4.6MiB live, 50.7MiB allocated; 4ms collecting garbage
Pruning

37 alts after pruning (29 fresh and 8 done)

PrunedKeptTotal
New37115386
Fresh31417
Picked235
Done055
Total37637413
Accuracy
99.9%
Counts
413 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.8%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
61.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
60.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
64.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
63.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
41.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x))))))
42.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
54.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
58.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
54.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
54.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
55.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
52.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
55.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
19.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
30.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s))))
32.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
34.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
43.9%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
43.8%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
9.9%
(*.f32 #s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x (*.f32 #s(literal 1/2 binary32) s)) x)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
30.0%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
7.3%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
36.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
43.8%
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))
Compiler

Compiled 1 852 to 1 319 computations (28.8% saved)

simplify150.0ms (2.4%)

Memory
6.9MiB live, 145.6MiB allocated; 41ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s))
cost-diff0
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff0
#s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))
cost-diff0
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
cost-diff0
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
cost-diff0
(/.f32 x s)
cost-diff0
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
cost-diff0
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
cost-diff0
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
cost-diff0
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))
cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062578
089577
1153577
2333577
31118567
44196567
08598562
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s)
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
x
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
#s(literal 1/4 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(*.f32 x (/.f32 (/.f32 x s) s))
x
(/.f32 (/.f32 x s) s)
(/.f32 x s)
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
#s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(*.f32 x (/.f32 (/.f32 x s) s))
x
(/.f32 (/.f32 x s) s)
(/.f32 x s)
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 (/.f32 x s) s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s)
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
x
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)
(*.f32 x (/.f32 (/.f32 x s) s))
(*.f32 (/.f32 (/.f32 x s) s) x)
x
(/.f32 (/.f32 x s) s)
(/.f32 x s)
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
(-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))))
#s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
#s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)
(*.f32 x (/.f32 (/.f32 x s) s))
(*.f32 (/.f32 (/.f32 x s) s) x)
x
(/.f32 (/.f32 x s) s)
(/.f32 x s)
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s))
(-.f32 (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s))
(*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 (/.f32 x s) s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)

localize175.0ms (2.8%)

Memory
29.5MiB live, 222.5MiB allocated; 26ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(/.f32 (/.f32 x s) s)
accuracy0.32428399199296976
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy0.6636682310734308
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy13.392124181701176
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy0.08984375
(/.f32 (/.f32 x s) s)
accuracy0.7386944158641007
(*.f32 x (/.f32 (/.f32 x s) s))
accuracy4.94726034889757
#s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
accuracy8.589653398412942
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
accuracy0.08984375
(/.f32 (/.f32 x s) s)
accuracy0.7386944158641007
(*.f32 x (/.f32 (/.f32 x s) s))
accuracy8.58294705930731
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
accuracy12.656777515119273
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
accuracy0.0
(/.f32 x s)
accuracy0.1836619682068752
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
accuracy8.646646246876829
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
accuracy12.523086620175805
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
accuracy0.04296875
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s)
accuracy0.09375
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))
accuracy0.6933083124227578
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))
accuracy4.94726034889757
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
Samples
79.0ms174×0valid
65.0ms82×0exit
Compiler

Compiled 313 to 50 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-div: 36.0ms (35.2% of total)
ival-sub: 25.0ms (24.4% of total)
ival-mult: 19.0ms (18.6% of total)
ival-add: 12.0ms (11.7% of total)
ival-exp: 4.0ms (3.9% of total)
const: 4.0ms (3.9% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory
-11.6MiB live, 87.4MiB allocated; 9ms collecting garbage
Counts
27 → 144
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
#s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s)
(*.f32 x (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 x s) s)
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
Outputs
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 1))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* 1/4 (/ x s)) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (* (* x (/ (/ x s) s)) 1/2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 1))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 1))
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (+ 1 (* 1/2 (/ x s)))))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ 1 s)))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (* x (/ (/ x s) s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (/ (/ x s) s) #s(hole binary32 (/ x (pow s 2))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 1))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* -1/6 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1/6 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1/6 (/ (pow x 2) (pow s 3)))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (* x (+ (* 1/2 (/ 1 s)) (/ 1 x)))))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* x (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (* -1/6 (/ x s))))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ s x))) (pow s 2))))
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (/ (+ s (* 1/2 x)) s)))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ (+ s (* 1/2 x)) (pow s 2))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s x) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s (+ s x)) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* -1/6 x) (* 1/2 s)) s)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 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 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ (+ 1 (* 1/2 (/ x s))) s)))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* -1 (/ (- (* -1/2 (/ x s)) 1) s))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) x) s)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
s
@0
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (* x (/ (/ x s) s)) (/ (/ x s) s) (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+ (* -1/6 (/ x s)) 1/2))
4.0ms
x
@inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (* x (/ (/ x s) s)) (/ (/ x s) s) (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+ (* -1/6 (/ x s)) 1/2))
4.0ms
x
@-inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (* x (/ (/ x s) s)) (/ (/ x s) s) (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+ (* -1/6 (/ x s)) 1/2))
3.0ms
s
@-inf
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (* x (/ (/ x s) s)) (/ (/ x s) s) (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+ (* -1/6 (/ x s)) 1/2))
3.0ms
x
@0
((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (* x (/ (/ x s) s)) (/ (/ x s) s) (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+ (* -1/6 (/ x s)) 1/2))

simplify185.0ms (2.9%)

Memory
0.1MiB live, 278.0MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05813833
116523534
268153520
089203283
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 1))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (* 1/4 (/ x s)) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (* (* x (/ (/ x s) s)) 1/2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 1))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 1))
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (+ 1 (* 1/2 (/ x s)))))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ 1 s)))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (* x (/ (/ x s) s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (/ (/ x s) s) #s(hole binary32 (/ x (pow s 2))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 1))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* -1/6 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1/6 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1/6 (/ (pow x 2) (pow s 3)))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (* 1/2 (/ x s))))
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (* x (+ (* 1/2 (/ 1 s)) (/ 1 x)))))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* 1/2 (/ x (pow s 2)))))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* x (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (* -1/6 (/ x s))))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ s x))) (pow s 2))))
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (/ (+ s (* 1/2 x)) s)))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ (+ s (* 1/2 x)) (pow s 2))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s x) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s (+ s x)) (* -1/2 (pow x 2))) (pow s 2))))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* -1/6 x) (* 1/2 s)) s)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))))
#s(approx (/ 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 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ (+ 1 (* 1/2 (/ x s))) s)))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (* -1 (/ x s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* -1 (/ (- (* -1/2 (/ x s)) 1) s))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) x) s)))))
Outputs
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 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)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1))
#s(approx (/ 1 (exp (/ x s))) #s(literal 1 binary32))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ x s)) #s(hole binary32 1))
#s(approx (exp (/ x s)) #s(literal 1 binary32))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s)))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(literal 1/2 binary32))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s)))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (* 1/4 (/ x s)) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (* 1/4 (/ x s)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
#s(approx (/ x s) #s(hole binary32 (/ x s)))
#s(approx (/ x s) (/.f32 x s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#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)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#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)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 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)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 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))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))
#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 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(literal 2 binary32))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))
#s(approx (* (* x (/ (/ x s) s)) 1/2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (* (* x (/ (/ x s) s)) 1/2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32)))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 2))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(literal 2 binary32))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ -1 s)))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 1))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(literal 1 binary32))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+.f32 #s(literal 1 binary32) (/.f32 x s)))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 1))
#s(approx (+ (* (/ 1/2 s) x) 1) #s(literal 1 binary32))
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (+ 1 (* 1/2 (/ x s)))))
#s(approx (+ (* (/ 1/2 s) x) 1) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ 1 s)))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) (/.f32 #s(literal 1 binary32) s))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))
#s(approx (* x (/ (/ x s) s)) #s(hole binary32 (/ (pow x 2) (pow s 2))))
#s(approx (* x (/ (/ x s) s)) (*.f32 (/.f32 (/.f32 x s) s) x))
#s(approx (/ (/ x s) s) #s(hole binary32 (/ x (pow s 2))))
#s(approx (/ (/ x s) s) (/.f32 (/.f32 x s) s))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 1))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(literal 1 binary32))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (/ x s))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+.f32 #s(literal 1 binary32) (/.f32 x s)))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(literal 1/2 binary32))
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* -1/6 (/ x s)))))
#s(approx (+ (* -1/6 (/ x s)) 1/2) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s)))))))
#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 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s)))))
#s(approx (/ 1 (exp (/ x s))) (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s))))
#s(approx (exp (/ x s)) (exp.f32 (/.f32 x s)))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* 1/4 (/ x s))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s)))))))
#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))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1/6 (/ (pow x 3) (pow s 3)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))))
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#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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)))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s)))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ (+ 1 (* 1/2 (/ x s))) s)))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (* -1 (/ x s)))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) #s(literal -1/4 binary32)))) s) #s(literal 0 binary32)) (neg.f32 s))) s)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)))
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) s) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s) #s(literal -1 binary32) x) s)))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)))
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))))
#s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) s) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s) #s(literal -1 binary32) x) s)))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (exp (/ x s)) (/.f32 (fma.f32 #s(literal 1 binary32) (+.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) x) 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)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#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 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32))) (neg.f32 s))) 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))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) 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 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))))
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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)))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))))
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s)))
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* -1 (/ (- (* -1/2 (/ x s)) 1) s))))
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) (neg.f32 s)))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) x) s)))))
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))

rewrite158.0ms (2.5%)

Memory
-27.2MiB live, 132.9MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062504
089503
1356495
02649490
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
27 → 242
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
#s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s)
(*.f32 x (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 x s) s)
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -3 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(*.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32))))
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(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s)))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (/.f32 #s(literal 1/8 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))

eval41.0ms (0.7%)

Memory
-7.1MiB live, 81.5MiB allocated; 10ms collecting garbage
Compiler

Compiled 14 378 to 1 943 computations (86.5% saved)

prune36.0ms (0.6%)

Memory
8.7MiB live, 61.3MiB allocated; 10ms collecting garbage
Pruning

35 alts after pruning (24 fresh and 11 done)

PrunedKeptTotal
New3886394
Fresh61824
Picked235
Done088
Total39635431
Accuracy
99.9%
Counts
431 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.8%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
61.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
64.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
63.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
41.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x))))))
42.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
58.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
48.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
58.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
54.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
54.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
56.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))))
53.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
52.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
55.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32))))
53.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
42.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
19.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
30.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s))))
31.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
32.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
35.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))
34.5%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
43.9%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
43.8%
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
9.9%
(*.f32 #s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x (*.f32 #s(literal 1/2 binary32) s)) x)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
30.0%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
7.3%
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
36.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
43.8%
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))
Compiler

Compiled 2 348 to 1 018 computations (56.6% saved)

regimes88.0ms (1.4%)

Memory
17.0MiB live, 155.1MiB allocated; 7ms collecting garbage
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(*.f32 #s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x (*.f32 #s(literal 1/2 binary32) s)) x)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.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 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

15.0ms
x
15.0ms
(neg.f32 x)
13.0ms
s
11.0ms
(/.f32 (neg.f32 x) s)
11.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
99.8%1(neg.f32 x)
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1x
99.8%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes80.0ms (1.3%)

Memory
-0.5MiB live, 90.2MiB allocated; 22ms collecting garbage
Counts
42 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
Calls

7 calls:

18.0ms
x
14.0ms
(/.f32 (neg.f32 x) s)
11.0ms
s
10.0ms
(neg.f32 x)
8.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
94.1%2(neg.f32 x)
94.4%2(/.f32 (neg.f32 x) s)
94.4%2(exp.f32 (/.f32 (neg.f32 x) s))
94.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
94.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
94.1%2x
64.5%1s
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes37.0ms (0.6%)

Memory
1.2MiB live, 46.3MiB allocated; 5ms collecting garbage
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
Calls

4 calls:

11.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
9.0ms
(/.f32 (neg.f32 x) s)
7.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
7.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
94.4%2(/.f32 (neg.f32 x) s)
94.4%2(exp.f32 (/.f32 (neg.f32 x) s))
94.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
94.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes58.0ms (0.9%)

Memory
-3.3MiB live, 40.5MiB allocated; 10ms collecting garbage
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
Calls

4 calls:

34.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
9.0ms
(/.f32 (neg.f32 x) s)
7.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
7.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
94.4%2(/.f32 (neg.f32 x) s)
94.4%2(exp.f32 (/.f32 (neg.f32 x) s))
94.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
94.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes53.0ms (0.8%)

Memory
-6.1MiB live, 47.8MiB allocated; 13ms collecting garbage
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32))))
Calls

6 calls:

18.0ms
(neg.f32 x)
8.0ms
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
92.5%2(neg.f32 x)
92.5%2x
93.1%2(/.f32 (neg.f32 x) s)
93.1%2(exp.f32 (/.f32 (neg.f32 x) s))
93.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
93.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes40.0ms (0.6%)

Memory
12.0MiB live, 55.4MiB allocated; 8ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
Calls

6 calls:

11.0ms
x
6.0ms
(neg.f32 x)
6.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
90.9%2(neg.f32 x)
90.9%2x
91.3%2(exp.f32 (/.f32 (neg.f32 x) s))
91.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
91.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
91.3%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes25.0ms (0.4%)

Memory
-1.6MiB live, 39.8MiB allocated; 10ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))
Calls

4 calls:

10.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
91.2%2(/.f32 (neg.f32 x) s)
91.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
91.2%2(exp.f32 (/.f32 (neg.f32 x) s))
91.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes24.0ms (0.4%)

Memory
19.0MiB live, 65.2MiB allocated; 2ms 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 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
Calls

6 calls:

4.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
4.0ms
(neg.f32 x)
4.0ms
x
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
90.2%2x
90.2%2(neg.f32 x)
90.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
90.5%2(exp.f32 (/.f32 (neg.f32 x) s))
90.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
90.5%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes63.0ms (1%)

Memory
-26.3MiB live, 35.4MiB allocated; 24ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
Calls

4 calls:

53.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms
(/.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
90.5%2(/.f32 (neg.f32 x) s)
90.5%2(exp.f32 (/.f32 (neg.f32 x) s))
90.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
90.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes51.0ms (0.8%)

Memory
-4.4MiB live, 42.6MiB allocated; 1ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
Calls

7 calls:

33.0ms
s
3.0ms
(neg.f32 x)
3.0ms
x
3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
52.4%1s
63.5%2x
63.5%2(neg.f32 x)
63.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
63.9%2(/.f32 (neg.f32 x) s)
63.9%2(exp.f32 (/.f32 (neg.f32 x) s))
63.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes11.0ms (0.2%)

Memory
29.6MiB live, 29.6MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))
Calls

4 calls:

3.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
63.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
63.9%2(/.f32 (neg.f32 x) s)
63.9%2(exp.f32 (/.f32 (neg.f32 x) s))
63.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes46.0ms (0.7%)

Memory
-13.3MiB live, 33.2MiB allocated; 2ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
Calls

7 calls:

31.0ms
(/.f32 (neg.f32 x) s)
3.0ms
s
3.0ms
(neg.f32 x)
2.0ms
x
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
42.6%1s
50.9%2x
50.9%2(neg.f32 x)
51.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
51.5%2(/.f32 (neg.f32 x) s)
51.5%2(exp.f32 (/.f32 (neg.f32 x) s))
51.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes8.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
Calls

4 calls:

2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
51.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
51.5%2(/.f32 (neg.f32 x) s)
51.5%2(exp.f32 (/.f32 (neg.f32 x) s))
51.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes13.0ms (0.2%)

Memory
-20.2MiB live, 25.3MiB allocated; 3ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
Calls

6 calls:

4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
2.0ms
x
2.0ms
(neg.f32 x)
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
50.4%2x
50.4%2(neg.f32 x)
50.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.4%2(/.f32 (neg.f32 x) s)
50.4%2(exp.f32 (/.f32 (neg.f32 x) s))
50.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes11.0ms (0.2%)

Memory
27.4MiB live, 27.4MiB allocated; 0ms collecting garbage
Accuracy

Total -9.4b remaining (-46.4%)

Threshold costs -9.4b (-46.4%)

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

7 calls:

2.0ms
x
2.0ms
(neg.f32 x)
2.0ms
s
2.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
36.6%1s
36.6%1x
36.6%1(neg.f32 x)
36.6%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
36.6%1(/.f32 (neg.f32 x) s)
36.6%1(exp.f32 (/.f32 (neg.f32 x) s))
36.6%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch4.0ms (0.1%)

Memory
-46.4MiB live, 1.2MiB allocated; 6ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
4.0ms
0.49031779170036316
0.49519842863082886
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.49031779170036316
0.49519842863082886
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.4501692093555028e-17
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
38.77226638793945
116.20530700683594
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0704292058944702
1.9626045227050781
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
38.77226638793945
116.20530700683594
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.019392490386963
2.0394935607910156
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
68957473758773250.0
+inf
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
68957473758773250.0
+inf
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
68957473758773250.0
+inf
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0704292058944702
1.9626045227050781
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0704292058944702
1.9626045227050781
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0394935607910156
18.838106155395508
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify54.0ms (0.9%)

Memory
24.2MiB live, 70.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154774
1207774
2354774
3926774
43249774
Stop Event
node limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4152361/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4152361/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4236247/2097152 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 99999998430674944 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 99999998430674944 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 99999998430674944 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4152361/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4152361/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4236247/2097152 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 99999998430674944 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 99999998430674944 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 99999998430674944 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

derivations664.0ms (10.5%)

Memory
7.9MiB live, 432.2MiB allocated; 26ms collecting garbage
Stop Event
fuel
Compiler

Compiled 774 to 159 computations (79.5% saved)

preprocess62.0ms (1%)

Memory
2.2MiB live, 47.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 566 to 334 computations (78.7% saved)

end0.0ms (0%)

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

Profiling

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