Logistic function

Time bar (total: 9.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze40.0ms (0.4%)

Memory
-11.3MiB live, 69.9MiB allocated
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)

sample973.0ms (10.4%)

Memory
48.5MiB live, 1 331.4MiB allocated
Samples
700.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 504.0ms
const: 132.0ms (26.2% of total)
ival-div: 124.0ms (24.6% of total)
ival-exp: 77.0ms (15.3% of total)
ival-neg: 54.0ms (10.7% of total)
ival-<=: 49.0ms (9.7% of total)
ival-add: 41.0ms (8.1% of total)
ival-and: 12.0ms (2.4% of total)
exact: 12.0ms (2.4% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain96.0ms (1%)

Memory
-15.7MiB live, 142.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
02(-2.4757816791534424 0.00979513768106699)0-(exp.f32 (/.f32 (neg.f32 x) s))
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
00-0-(neg.f32 x)
00-0-(/.f32 (neg.f32 x) s)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 x) s))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
32.0ms512×0valid
Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 9.0ms (46.8% of total)
ival-exp: 4.0ms (20.8% of total)
ival-add: 3.0ms (15.6% of total)
ival-neg: 3.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess29.0ms (0.3%)

Memory
-6.3MiB live, 31.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02041
15041
211341
327141
455441
572141
679341
784241
890141
990341
089
0139
1219
2319
3449
4569
5709
6919
71129
81169
01169
Stop Event
iter limit
saturated
iter limit
saturated
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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
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)

simplify5.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Algorithm
egg-herbie
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
23130
34430
45630
57030
69130
711230
811630
011630
Stop Event
iter limit
saturated
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

localize23.0ms (0.2%)

Memory
-4.8MiB live, 33.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f32 x)
accuracy0.0234375
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy0.03707755115753779
(exp.f32 (/.f32 (neg.f32 x) s))
accuracy0.05078125
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Samples
17.0ms256×0valid
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 (39.1% of total)
ival-add: 3.0ms (29.4% of total)
ival-exp: 2.0ms (19.6% of total)
ival-neg: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())
#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())
Outputs
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 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)))))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ x s))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 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))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ x s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ x s))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
Calls

6 calls:

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

simplify245.0ms (2.6%)

Memory
19.0MiB live, 249.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140857
1378768
21150742
33902722
08435682
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 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))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 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)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 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))))))
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 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)))
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 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)))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/480 binary32) x) (/.f32 x (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)

rewrite145.0ms (1.5%)

Memory
-17.4MiB live, 174.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
14827
225527
3210127
0846526
Stop Event
iter limit
node limit
iter limit
Counts
5 → 710
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
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eval80.0ms (0.8%)

Memory
-7.3MiB live, 148.6MiB allocated
Compiler

Compiled 20 190 to 2 719 computations (86.5% saved)

prune27.0ms (0.3%)

Memory
34.1MiB live, 73.3MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New80414818
Fresh000
Picked011
Done000
Total80415819
Accuracy
100.0%
Counts
819 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
99.3%
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
44.5%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
84.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))))
84.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) 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))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
42.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
42.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
61.4%
(*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
33.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 397 to 318 computations (19.9% saved)

simplify134.0ms (1.4%)

Memory
-34.4MiB live, 124.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff32
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff3104
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
cost-diff3744
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
cost-diff0
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #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 (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
cost-diff352
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
cost-diff0
(/.f32 x s)
cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
cost-diff0
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
cost-diff0
(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff0
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
cost-diff0
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
cost-diff0
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040318
069318
1122318
2256318
3485318
4862318
51579318
63353311
75799311
08038301
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal -1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(/.f32 x s)
x
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(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 x s) s)
(/.f32 x s)
x
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(-.f32 #s(literal 1 binary32) (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
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))
(*.f32 (/.f32 x s) #s(literal -2 binary32))
(/.f32 x s)
#s(literal -2 binary32)
Outputs
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal -1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
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(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.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 1 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.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 1 binary32))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.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 1 binary32)))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(fma.f32 (/.f32 (fma.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 1 binary32))
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(fma.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 (/.f32 x s) s)
(/.f32 x s)
x
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(/.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)))
(neg.f32 (expm1.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
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal -2 binary32) s) x)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))
(*.f32 (/.f32 x s) #s(literal -2 binary32))
(*.f32 (/.f32 #s(literal -2 binary32) s) x)
(/.f32 x s)
#s(literal -2 binary32)

localize183.0ms (1.9%)

Memory
4.2MiB live, 208.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.05323967429718598
(exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))
accuracy1.3631600558504613
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
accuracy5.088452448772865
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
accuracy5.1989675215796955
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy12.587377139433167
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
accuracy16.683977160135736
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
accuracy19.267488602770015
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
accuracy19.438643657301633
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy0.05078125
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
accuracy12.212309552586479
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
accuracy18.431366357419048
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
accuracy19.625550855011216
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
accuracy10.972420847889104
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy0.01953125
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
accuracy0.0234375
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
accuracy0.03707755115753779
(exp.f32 (/.f32 (neg.f32 x) s))
accuracy0.07421875
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
Samples
111.0ms169×0valid
29.0ms87×0exit
Compiler

Compiled 246 to 40 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-div: 16.0ms (27.2% of total)
ival-mult: 10.0ms (17% of total)
ival-add: 8.0ms (13.6% of total)
ival-pow: 6.0ms (10.2% of total)
ival-exp: 4.0ms (6.8% of total)
const: 4.0ms (6.8% of total)
ival-neg: 4.0ms (6.8% of total)
ival-expm1: 3.0ms (5.1% of total)
ival-pow2: 3.0ms (5.1% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series50.0ms (0.5%)

Memory
26.8MiB live, 103.1MiB allocated
Counts
20 → 480
Calls
Call 1
Inputs
#s(alt (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (patch (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) #<representation binary32>) () ())
#s(alt (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())
#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (patch (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (patch (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())
#s(alt (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (patch (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #<representation binary32>) () ())
Outputs
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (patch (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (patch (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (patch (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (patch (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (+ 1 (exp (* -1 (/ x s)))) 2) (taylor 0 s) (#s(alt (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (+ 1 (exp (* -1 (/ x s)))) 2) (taylor 0 s) (#s(alt (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (+ 1 (exp (* -1 (/ x s)))) 2) (taylor 0 s) (#s(alt (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (+ 1 (exp (* -1 (/ x s)))) 2) (taylor 0 s) (#s(alt (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (pow s 2))) (taylor 0 s) (#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
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#s(alt (* -1/6 (/ (pow x 2) (pow s 3))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -2 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (patch (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (exp (* -2 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (patch (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (exp (* -2 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (patch (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (exp (* -2 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (patch (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@0
((pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (- 1 (exp (* (/ x s) -2))) (- 1 (exp (/ (neg x) s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (exp (* (/ x s) -2)))
5.0ms
s
@0
((pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (- 1 (exp (* (/ x s) -2))) (- 1 (exp (/ (neg x) s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (exp (* (/ x s) -2)))
4.0ms
x
@inf
((pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (- 1 (exp (* (/ x s) -2))) (- 1 (exp (/ (neg x) s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (exp (* (/ x s) -2)))
4.0ms
s
@inf
((pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (- 1 (exp (* (/ x s) -2))) (- 1 (exp (/ (neg x) s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (exp (* (/ x s) -2)))
4.0ms
x
@-inf
((pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (- 1 (exp (* (/ x s) -2))) (- 1 (exp (/ (neg x) s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (exp (* (/ x s) -2)))

simplify206.0ms (2.2%)

Memory
6.9MiB live, 281.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05525151
117234780
251524653
083824397
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))))) (pow s 3))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -1 (/ x s))))
(- 1 (exp (* -1 (/ x s))))
(- 1 (exp (* -1 (/ x s))))
(- 1 (exp (* -1 (/ x s))))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(* -1/6 (/ x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(exp (* -2 (/ x s)))
(exp (* -2 (/ x s)))
(exp (* -2 (/ x s)))
(exp (* -2 (/ x s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) (* 1/4 (/ x s))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 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)))))
4
(+ 4 (* -4 (/ x s)))
(+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))
(+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 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))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 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))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 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))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1/2
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 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))))))
(- (+ 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)))))))))
(* 2 (/ x s))
(/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s)
(/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s)
(/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s))))) s)
(/ x s)
(/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)
(/ (- (* 1/6 (/ (pow x 3) (pow s 2))) (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))) s)
(/ (- (* -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)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
1
(+ 1 (* -2 (/ x s)))
(+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s)))) s)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (+ (* -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))))) s)) (* -1/4 x)) s)))
4
(+ 4 (* -4 (/ x s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (* 4 x)) s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 2 (pow x 2)) (pow x 2))) s)) (* 4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 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)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 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)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 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)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 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)))
(+ 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)))
(* 2 (/ x s))
(* -1 (/ (- (* 2 (/ (pow x 2) s)) (* 2 x)) s))
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(/ x s)
(* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
1
(+ 1 (* -2 (/ x s)))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
4
(+ 4 (* -4 (/ x s)))
(+ 4 (* x (- (* 3 (/ x (pow s 2))) (* 4 (/ 1 s)))))
(+ 4 (* x (- (* x (+ (* -5/3 (/ x (pow s 3))) (* 3 (/ 1 (pow s 2))))) (* 4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* 2 (/ x s))
(* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
1
(+ 1 (* -2 (/ x s)))
(+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (/ 1 (pow x 3))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -1 (/ x s))))
(- 1 (exp (* -1 (/ x s))))
(- 1 (exp (* -1 (/ x s))))
(- 1 (exp (* -1 (/ x s))))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(exp (* -2 (/ x s)))
(exp (* -2 (/ x s)))
(exp (* -2 (/ x s)))
(exp (* -2 (/ x s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -2 (/ x s))))
(- 1 (exp (* -1 (/ x s))))
(- 1 (exp (* -1 (/ x s))))
(- 1 (exp (* -1 (/ x s))))
(- 1 (exp (* -1 (/ x s))))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1/6 (/ x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(exp (* -2 (/ x s)))
(exp (* -2 (/ x s)))
(exp (* -2 (/ x s)))
(exp (* -2 (/ x s)))
Outputs
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ x s)))) 2)
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) s) x) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) s)) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ 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))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ 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))))
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1/2
#s(literal 1/2 binary32)
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#s(literal 4 binary32)
(+ 4 (* -4 (/ x s)))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
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(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
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(- (+ 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))))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
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(- (+ 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))))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
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(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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1/2
#s(literal 1/2 binary32)
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
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(* 2 (/ x s))
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(/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s)
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(/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s)
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(/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s))))) s)
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(/ x s)
(/.f32 x s)
(/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)
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(/ (- (* -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)
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-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/ -1 s)
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(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
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(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
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1
#s(literal 1 binary32)
(+ 1 (* -2 (/ x s)))
(fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2)))))
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(+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2))))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s)))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (+ (* -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))))) s)) (* -1/4 x)) s)))
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4
#s(literal 4 binary32)
(+ 4 (* -4 (/ x s)))
(fma.f32 #s(literal -4 binary32) (/.f32 x s) #s(literal 4 binary32))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (* 4 x)) s)))
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(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 2 (pow x 2)) (pow x 2))) s)) (* 4 x)) s)))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (fma.f32 #s(literal 1/6 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 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)))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (fma.f32 #s(literal 1/6 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 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)))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (fma.f32 #s(literal 1/6 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 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)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 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)))
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(* 2 (/ x s))
(*.f32 (/.f32 #s(literal 2 binary32) s) x)
(* -1 (/ (- (* 2 (/ (pow x 2) s)) (* 2 x)) s))
(*.f32 (/.f32 (-.f32 (*.f32 x (/.f32 x s)) x) s) #s(literal -2 binary32))
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(fma.f32 #s(literal 4/3 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 x (/.f32 x s)) x) s) #s(literal -2 binary32)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
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(/ x s)
(/.f32 x s)
(* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))
(fma.f32 #s(literal 1/6 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s))
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-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
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(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
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1
#s(literal 1 binary32)
(+ 1 (* -2 (/ x s)))
(fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s)))
(fma.f32 (/.f32 (-.f32 (*.f32 x (/.f32 x s)) x) s) #s(literal 2 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
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(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
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4
#s(literal 4 binary32)
(+ 4 (* -4 (/ x s)))
(fma.f32 #s(literal -4 binary32) (/.f32 x s) #s(literal 4 binary32))
(+ 4 (* x (- (* 3 (/ x (pow s 2))) (* 4 (/ 1 s)))))
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(+ 4 (* x (- (* x (+ (* -5/3 (/ x (pow s 3))) (* 3 (/ 1 (pow s 2))))) (* 4 (/ 1 s)))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
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1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
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(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
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(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
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(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
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(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ 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))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ 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))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ 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))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ 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))))
(- 1 (exp (* -2 (/ x s))))
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)))
(- 1 (exp (* -2 (/ x s))))
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)))
(- 1 (exp (* -2 (/ x s))))
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)))
(- 1 (exp (* -2 (/ x s))))
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)))
(- 1 (exp (* -1 (/ x s))))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(- 1 (exp (* -1 (/ x s))))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(- 1 (exp (* -1 (/ x s))))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(- 1 (exp (* -1 (/ x s))))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 x))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 x))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 x))
(* -1/6 (/ (pow x 2) (pow s 3)))
(*.f32 (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x)
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.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)))) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(exp (* -2 (/ x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))
(exp (* -2 (/ x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))
(exp (* -2 (/ x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))
(exp (* -2 (/ x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))

rewrite250.0ms (2.7%)

Memory
-60.3MiB live, 291.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040257
069248
1298248
22437248
08737245
Stop Event
iter limit
node limit
iter limit
Counts
20 → 549
Calls
Call 1
Inputs
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.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))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(/.f32 x s)
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))
Outputs
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eval138.0ms (1.5%)

Memory
5.0MiB live, 280.4MiB allocated
Compiler

Compiled 27 377 to 3 058 computations (88.8% saved)

prune155.0ms (1.7%)

Memory
-0.0MiB live, 242.4MiB allocated
Pruning

51 alts after pruning (46 fresh and 5 done)

PrunedKeptTotal
New1 188401 228
Fresh369
Picked145
Done011
Total1 192511 243
Accuracy
100.0%
Counts
1 243 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
26.7%
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) (-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (*.f32 x (/.f32 x s)) (*.f32 #s(literal 4 binary32) x)) s))) #s(literal -1/2 binary32))
44.5%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
5.5%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) #s(approx (exp (* (/ x s) -2)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 2 binary32) s) s) x (/.f32 #s(literal -2 binary32) s)) x #s(literal 1 binary32)))))
44.3%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.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 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
84.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))))
84.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) 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))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 x s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) (/.f32 x s)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.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))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg 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)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
42.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x) (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
42.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
58.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))))
55.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
34.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
36.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
41.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 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) s) x)) (*.f32 x x)))))
38.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
43.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x))))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
27.2%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32)) s)) s)))
33.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 1 754 to 1 298 computations (26% saved)

simplify151.0ms (1.6%)

Memory
32.3MiB live, 186.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
cost-diff128
(/.f32 (neg.f32 x) (neg.f32 s))
cost-diff160
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
cost-diff192
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))))
cost-diff64
(+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))
cost-diff480
(+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))
cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
cost-diff0
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 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 (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 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-diff288
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047417
080412
1143388
2331388
3983388
44099388
56723388
08202376
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 (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
(/.f32 x s)
x
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(literal -1 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)))
(+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))
(+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))
#s(literal 2 binary32)
(*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)
(*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))
(/.f32 (/.f32 x s) s)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 (neg.f32 x) s)
(neg.f32 x)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 x s) s)
(/.f32 x s)
x
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 (neg.f32 x) (neg.f32 s))
(neg.f32 x)
(neg.f32 s)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
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 (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))
(/.f32 x s)
x
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(literal -1 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))
(+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))
(fma.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)
(*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))
(/.f32 (/.f32 x s) s)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 (neg.f32 x) s)
(neg.f32 x)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) (/.f32 x s) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 x s) s)
(/.f32 x s)
x
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 x s)
(neg.f32 x)
(neg.f32 s)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)

localize300.0ms (3.2%)

Memory
-3.4MiB live, 277.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy12.587377139433167
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
accuracy15.639353474649306
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
accuracy19.028600739514008
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
accuracy19.273086457312026
(fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32))
accuracy0.125
(/.f32 (/.f32 x s) s)
accuracy0.45657679983707045
(*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)
accuracy1.953125029559515
(+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))
accuracy12.212309552586479
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)))
accuracy0.05078125
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
accuracy12.67372896275672
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))
accuracy16.149802441252874
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
accuracy19.01249462269755
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
accuracy0
(/.f32 x s)
accuracy12.058174282585341
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
accuracy19.162584960054936
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy0.0234375
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
accuracy0.03125
(exp.f32 (/.f32 x s))
accuracy0.05078125
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
accuracy0.06213629138909578
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
Samples
145.0ms87×0exit
122.0ms169×0valid
Compiler

Compiled 289 to 45 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 235.0ms
ival-div: 133.0ms (56.6% of total)
ival-neg: 37.0ms (15.7% of total)
ival-mult: 33.0ms (14% of total)
ival-add: 13.0ms (5.5% of total)
ival-pow: 6.0ms (2.6% of total)
ival-exp: 4.0ms (1.7% of total)
const: 4.0ms (1.7% of total)
ival-pow2: 4.0ms (1.7% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory
-3.8MiB live, 120.5MiB allocated
Counts
24 → 576
Calls
Call 1
Inputs
#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x s)) #<representation binary32>) () ())
#s(alt #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (patch #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)) (patch (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (patch (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 x) (neg.f32 s)) (patch (/.f32 (neg.f32 x) (neg.f32 s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (patch (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x) (patch (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 x s) s) (patch (/.f32 (/.f32 x s) s) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #<representation binary32>) () ())
Outputs
#s(alt (/ 1 (exp (/ x s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (exp (/ x s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (exp (/ x s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (exp (/ x s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (/ 1 (exp (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (/ 1 (exp (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (/ 1 (exp (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (/ 1 (exp (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (exp (/ x s)) (taylor 0 s) (#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (exp (/ x s)) (taylor 0 s) (#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (exp (/ x s)) (taylor 0 s) (#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (exp (/ x s)) (taylor 0 s) (#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (patch #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (patch #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (patch #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (patch #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/4 (/ x s)) (taylor 0 s) (#s(alt (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/4 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/4 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/4 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (pow s 2))) (taylor 0 s) (#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (pow s 2))) (taylor 0 s) (#s(alt (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)) (patch (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) (taylor 0 s) (#s(alt (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)) (patch (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)) (taylor 0 s) (#s(alt (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)) (patch (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
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Calls

6 calls:

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

simplify259.0ms (2.8%)

Memory
6.7MiB live, 279.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04185724
112635109
240144855
083924578
Stop Event
iter limit
node limit
Counts
576 → 576
Calls
Call 1
Inputs
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))
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(/ 1 (+ 1 (exp (* -1 (/ x s)))))
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(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
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(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))))) (pow s 3))
(/ x s)
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(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/2 (/ x s))
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(/ (+ (* -1 s) (* 1/2 x)) s)
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ x (pow s 2))
(/ x (pow s 2))
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(* -1/6 (/ x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
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(- (+ 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))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 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)))
(- (+ 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))))))
2
(+ 2 (* -1 (/ x s)))
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(- (+ 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))))
1
(+ 1 (/ x s))
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1/2
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(+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 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)))))
1/2
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(/ x s)
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1/2
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2
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1
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1
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2
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2
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1/2
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2
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(/ -1 s)
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1
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-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ (pow x 2) (pow s 2)))
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1/2
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1
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1
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1/2
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2
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1
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1/2
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1/2
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(/ x s)
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1/2
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(+ 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)))
2
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1
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1
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2
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2
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
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1/2
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2
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(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
1
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(/ x s)
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1/2
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-1
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(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ (pow x 2) (pow s 2)))
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(/ x (pow s 2))
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1/2
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1
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1
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1/2
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2
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1
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1/2
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1/2
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(/ x s)
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1/2
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2
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1
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1
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2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
2
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (/ 1 (pow x 3))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(* -1/6 (/ x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
Outputs
(/ 1 (exp (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (exp (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (exp (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (exp (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(* 1/4 (/ x s))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (*.f32 #s(literal 2 binary32) s) s)) s) s)
(/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (*.f32 #s(literal 2 binary32) s) s)) s) s)
(/ (+ (* 1/2 (pow x 2)) (* 2 (pow s 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (*.f32 #s(literal 2 binary32) s) s)) s) s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* -1/6 (/ (pow x 2) (pow s 3)))
(*.f32 (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s)) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))))) (pow s 3))
(/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) (pow.f32 s #s(literal 3 binary32)))
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s)))) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (+ (* -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))))) s)) (* -1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 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)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 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)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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))
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 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)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(/ x (pow s 2))
(/.f32 (/.f32 x s) s)
(/ x (pow s 2))
(/.f32 (/.f32 x s) s)
(/ x (pow s 2))
(/.f32 (/.f32 x s) s)
(/ x (pow s 2))
(/.f32 (/.f32 x s) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (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)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ 1 (/ x s))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 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))
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (fma.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))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (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)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (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)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (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)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
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(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* -1/6 (/ (pow x 2) (pow s 3)))
(*.f32 (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x)
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.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)))) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.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)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x)) (pow.f32 x #s(literal 3 binary32)))
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(/ x (pow s 2))
(/.f32 (/.f32 x s) s)
(/ x (pow s 2))
(/.f32 (/.f32 x s) s)
(/ x (pow s 2))
(/.f32 (/.f32 x s) s)
(/ x (pow s 2))
(/.f32 (/.f32 x s) s)
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))

rewrite205.0ms (2.2%)

Memory
-9.8MiB live, 267.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047326
080309
1370297
23132297
08585291
Stop Event
iter limit
node limit
iter limit
Counts
24 → 804
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 (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))
(+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)))
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(/.f32 (neg.f32 x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #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 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)
(/.f32 (/.f32 x s) s)
(fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
Outputs
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eval266.0ms (2.8%)

Memory
44.6MiB live, 539.4MiB allocated
Compiler

Compiled 37 024 to 5 339 computations (85.6% saved)

prune202.0ms (2.1%)

Memory
-60.4MiB live, 328.5MiB allocated
Pruning

70 alts after pruning (62 fresh and 8 done)

PrunedKeptTotal
New1 690481 738
Fresh271441
Picked145
Done145
Total1 719701 789
Accuracy
100.0%
Counts
1 789 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
44.5%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
5.5%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) #s(approx (exp (* (/ x s) -2)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 2 binary32) s) s) x (/.f32 #s(literal -2 binary32) s)) x #s(literal 1 binary32)))))
84.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))))
84.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
59.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ 1 (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)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 (*.f32 s s))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 x s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (/.f32 x s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) (*.f32 s (neg.f32 s))) (/.f32 x (*.f32 s (neg.f32 s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) (/.f32 x s)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal -1 binary32) (/.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))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg 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)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal 1/2 binary32) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (neg.f32 x)) (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
40.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))))
40.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))))
42.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32) #s(literal 2 binary32))))
42.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (/.f32 x s) s) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
42.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x #s(literal 2 binary32)) (/.f32 x s))))
55.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))))
42.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))))
55.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
35.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (+ 2 (* (* (/ (/ x s) s) 1/2) x)) (/ (neg x) s)) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
38.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (+ 2 (* (* (/ (/ x s) s) 1/2) x)) (/ (neg x) s)) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) s) #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
29.6%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
6.8%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
33.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 2 224 to 1 693 computations (23.9% saved)

simplify130.0ms (1.4%)

Memory
1.9MiB live, 198.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
cost-diff64
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s))
cost-diff64
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))
cost-diff160
(fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x))
cost-diff0
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
cost-diff64
(+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))
cost-diff0
(fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
cost-diff0
#s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 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 (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))))
cost-diff352
(/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))
cost-diff6464
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063661
097663
1170622
2379590
31137590
44359584
56473584
67614584
08062541
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)))
(exp.f32 (neg.f32 x))
(neg.f32 x)
x
(/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
s
#s(literal -2 binary32)
#s(literal 2 binary32)
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
(fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
#s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
s
x
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))
(fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))
(/.f32 x s)
x
s
(+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))
#s(literal -1 binary32)
(*.f32 (/.f32 #s(literal 1/2 binary32) s) x)
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))
(fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32))
#s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s)))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)
(fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x))
(*.f32 x (/.f32 x s))
x
(/.f32 x s)
s
#s(literal -1/6 binary32)
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(neg.f32 s)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))))
(/.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) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1/2 binary32) s))
(exp.f32 (neg.f32 x))
(neg.f32 x)
x
(/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))
(/.f32 #s(literal 1/2 binary32) s)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
s
#s(literal -2 binary32)
#s(literal 2 binary32)
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
(fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
#s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
s
x
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))))
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32)))
(fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))
(/.f32 x s)
x
s
(+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 (/.f32 #s(literal 1/2 binary32) s) x)
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #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) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32))))
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) s)) x #s(literal 1 binary32))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) s)) x #s(literal 1 binary32)))
(fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32))
(fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) s)) x #s(literal 1 binary32))
#s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s)))
#s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) s)
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) s) x #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)
(/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)
(fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(*.f32 x (/.f32 x s))
(*.f32 (/.f32 x s) x)
x
(/.f32 x s)
s
#s(literal -1/6 binary32)
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(neg.f32 s)

localize161.0ms (1.7%)

Memory
6.1MiB live, 360.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(*.f32 x (/.f32 x s))
accuracy12.963022128410785
#s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))
accuracy27.940903764266157
(fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x))
accuracy28.123069878982992
(fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32))
accuracy0.04296875
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
accuracy0.19921875
(*.f32 (/.f32 #s(literal 1/2 binary32) s) x)
accuracy13.975035907568676
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))
accuracy28.092354672664236
(fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))
accuracy0.04296875
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
accuracy12.963022128410785
#s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
accuracy21.888609826827114
#s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s))
accuracy27.77071274012841
(fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
accuracy0
(/.f32 x s)
accuracy0.08091642999717497
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
accuracy8.194574652563059
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
accuracy22.214188103780696
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
accuracy0.015625
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)))
accuracy0.04296875
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))))
accuracy0.0625
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))
accuracy4.824762120661176
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)))
Samples
98.0ms220×0valid
23.0ms30×1valid
3.0ms1exit
Compiler

Compiled 363 to 51 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-add: 24.0ms (23.6% of total)
ival-div: 21.0ms (20.7% of total)
ival-pow: 18.0ms (17.7% of total)
ival-mult: 16.0ms (15.7% of total)
ival-exp: 6.0ms (5.9% of total)
ival-pow2: 6.0ms (5.9% of total)
const: 4.0ms (3.9% of total)
adjust: 3.0ms (3% of total)
ival-neg: 3.0ms (3% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series181.0ms (1.9%)

Memory
23.0MiB live, 322.9MiB allocated
Counts
27 → 636
Calls
Call 1
Inputs
#s(alt (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)) (patch (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) (patch #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) (patch #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (patch (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #<representation binary32>) () ())
#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) (patch (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (patch (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) (patch (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s)) (patch (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (patch (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) (patch (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) (patch #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (patch (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)) (patch (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 x (/.f32 x s)) (patch (*.f32 x (/.f32 x s)) #<representation binary32>) () ())
Outputs
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor 0 s) (#s(alt (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
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#s(alt (/ 1/2 s) (taylor 0 s) (#s(alt (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)) (patch (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)) #<representation binary32>) () ())) ())
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#s(alt (/ 1/2 s) (taylor 0 s) (#s(alt (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)) (patch (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)) #<representation binary32>) () ())) ())
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#s(alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (pow (exp (* -1/2 (/ x s))) 2)) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) (patch #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) (patch #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) (patch #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) (patch #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (* 1/4 (/ x s)) (taylor 0 s) (#s(alt #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) (patch #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/4 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) (patch #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/4 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) (patch #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/4 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) (patch #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (* 1/4 (/ x s)) (taylor 0 s) (#s(alt (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (patch (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (* 1/4 (/ x s)) (taylor 0 s) (#s(alt (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (patch (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (* 1/4 (/ x s)) (taylor 0 s) (#s(alt (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (patch (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (* 1/4 (/ x s)) (taylor 0 s) (#s(alt (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (patch (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
45.0ms
x
@inf
((pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2) (/ (/ -1 s) -2) (/ 1 (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2))) (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) x) 1) (+ -1 (* (/ 1/2 s) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) (/ (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (neg s)) (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (pow (exp (neg x)) (/ (/ -1 s) -2)) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (+ (* (/ x s) (+ -1 (* (/ 1/2 s) x))) 1) (* (/ 1/2 s) x) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) x) 1) (exp (/ (neg x) s)) (* x (/ x s)))
36.0ms
x
@-inf
((pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2) (/ (/ -1 s) -2) (/ 1 (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2))) (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) x) 1) (+ -1 (* (/ 1/2 s) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) (/ (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (neg s)) (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (pow (exp (neg x)) (/ (/ -1 s) -2)) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (+ (* (/ x s) (+ -1 (* (/ 1/2 s) x))) 1) (* (/ 1/2 s) x) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) x) 1) (exp (/ (neg x) s)) (* x (/ x s)))
9.0ms
s
@0
((pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2) (/ (/ -1 s) -2) (/ 1 (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2))) (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) x) 1) (+ -1 (* (/ 1/2 s) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) (/ (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (neg s)) (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (pow (exp (neg x)) (/ (/ -1 s) -2)) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (+ (* (/ x s) (+ -1 (* (/ 1/2 s) x))) 1) (* (/ 1/2 s) x) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) x) 1) (exp (/ (neg x) s)) (* x (/ x s)))
5.0ms
x
@0
((pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2) (/ (/ -1 s) -2) (/ 1 (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2))) (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) x) 1) (+ -1 (* (/ 1/2 s) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) (/ (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (neg s)) (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (pow (exp (neg x)) (/ (/ -1 s) -2)) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (+ (* (/ x s) (+ -1 (* (/ 1/2 s) x))) 1) (* (/ 1/2 s) x) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) x) 1) (exp (/ (neg x) s)) (* x (/ x s)))
4.0ms
s
@-inf
((pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2) (/ (/ -1 s) -2) (/ 1 (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2))) (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) x) 1) (+ -1 (* (/ 1/2 s) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) (/ (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (neg s)) (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (pow (exp (neg x)) (/ (/ -1 s) -2)) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (+ (* (/ x s) (+ -1 (* (/ 1/2 s) x))) 1) (* (/ 1/2 s) x) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) x) 1) (exp (/ (neg x) s)) (* x (/ x s)))

simplify221.0ms (2.4%)

Memory
24.4MiB live, 316.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03836815
111146143
233585511
084365208
Stop Event
iter limit
node limit
Counts
636 → 636
Calls
Call 1
Inputs
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))))) (pow s 3))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1/6 (/ (pow x 2) s))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(* 1/6 (/ (pow x 2) (pow s 2)))
(/ (- (* -1/2 (* s x)) (* -1/6 (pow x 2))) (pow s 2))
(/ (- (* s (- s (* 1/2 x))) (* -1/6 (pow x 2))) (pow s 2))
(/ (- (* s (- s (* 1/2 x))) (* -1/6 (pow x 2))) (pow s 2))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))))) (pow s 3))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) (* 1/4 (/ x s))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 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)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 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))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 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))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
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(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(* 1/2 x)
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
1
(+ 1 (* -1/2 (/ x s)))
(- (+ 1 (* 1/6 (/ (pow x 2) (pow s 2)))) (* 1/2 (/ x s)))
(- (+ 1 (* 1/6 (/ (pow x 2) (pow s 2)))) (* 1/2 (/ x s)))
1/2
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(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 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))))))
1
(+ 1 (* -1/2 (/ x s)))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
(/ 1/2 s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s)))) s)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (+ (* -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))))) s)) (* -1/4 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
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(+ 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)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
1/2
(+ 1/2 (* 1/4 (/ x s)))
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(+ 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)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
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(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* 1/2 x)
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
1
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(+ 1 (* -1 (/ (- (* -1/6 (/ (pow x 2) s)) (* -1/2 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 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)))
1
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) s)) (* 1/2 x)) s)))
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* 1/2 x)
(* x (+ 1/2 (* -1/6 (/ x s))))
(* x (+ 1/2 (* -1/6 (/ x s))))
(* x (+ 1/2 (* -1/6 (/ x s))))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
1
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* x (- (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (- (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
1
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (/ 1 (pow x 3))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1/6 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(* 1/6 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x)))))
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1/2 (* s x))))
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1/2 (* s x))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (/ 1 (pow x 3))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(pow (exp (* -1/2 (/ x s))) 2)
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(* 1/4 (/ x s))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1/6 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* 1/6 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x)))))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
Outputs
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 (neg.f32 x) s))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 (neg.f32 x) s))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 (neg.f32 x) s))
(pow (exp (* -1/2 (/ x s))) 2)
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1/2 s)
(/.f32 #s(literal 1/2 binary32) s)
(/ 1/2 s)
(/.f32 #s(literal 1/2 binary32) s)
(/ 1/2 s)
(/.f32 #s(literal 1/2 binary32) s)
(/ 1/2 s)
(/.f32 #s(literal 1/2 binary32) s)
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (pow (exp (* -1/2 (/ x s))) 2))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(* 1/4 (/ x s))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(* 1/4 (/ x s))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(* 1/4 (/ x s))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(* 1/4 (/ x s))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(* 1/4 (/ x s))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/.f32 (fma.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
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#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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#s(literal 1/2 binary32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) s) s) (/.f32 (/.f32 #s(literal 1/2 binary32) x) s)) (*.f32 x x))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 x (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/6 binary32) (/.f32 (/.f32 (fma.f32 x #s(literal -1/2 binary32) s) s) x)))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 x (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/6 binary32) (/.f32 (/.f32 (fma.f32 x #s(literal -1/2 binary32) s) s) x)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(*.f32 (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x)
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.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)))) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x)
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.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)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ (pow x 2) s)
(*.f32 x (/.f32 x s))
(/ (pow x 2) s)
(*.f32 x (/.f32 x s))
(/ (pow x 2) s)
(*.f32 x (/.f32 x s))
(/ (pow x 2) s)
(*.f32 x (/.f32 x s))

rewrite207.0ms (2.2%)

Memory
-8.5MiB live, 216.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063516
097498
1423465
23582465
09029434
Stop Event
iter limit
node limit
iter limit
Counts
27 → 733
Calls
Call 1
Inputs
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))
(/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
(fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)))
#s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s))
(fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) x)
(fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))
(*.f32 x (/.f32 x s))
Outputs
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eval206.0ms (2.2%)

Memory
14.8MiB live, 420.2MiB allocated
Compiler

Compiled 29 873 to 4 496 computations (84.9% saved)

prune200.0ms (2.1%)

Memory
-13.9MiB live, 332.4MiB allocated
Pruning

83 alts after pruning (74 fresh and 9 done)

PrunedKeptTotal
New1 442351 477
Fresh183957
Picked235
Done268
Total1 464831 547
Accuracy
100.0%
Counts
1 547 → 83
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
44.5%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
5.5%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) #s(approx (exp (* (/ x s) -2)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 2 binary32) s) s) x (/.f32 #s(literal -2 binary32) s)) x #s(literal 1 binary32)))))
44.3%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #s(literal 1 binary32)))
84.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal 2 binary32))))
84.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
59.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ 1 (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)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 x s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) (/.f32 x s)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal -1 binary32) (/.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))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg 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)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal 1/2 binary32) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (neg.f32 s)) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 s)) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 s))) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (neg.f32 (*.f32 #s(literal 2 binary32) s)))) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (neg.f32 x)) (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s)) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (neg.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x #s(literal 1 binary32)) (/.f32 s x)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 (neg.f32 x) (neg.f32 s))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (neg.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 (*.f32 (/.f32 (neg.f32 x) s) x)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x))) s)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(approx (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (neg.f32 s))) (neg.f32 s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(approx (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) s) s) (/.f32 (/.f32 #s(literal 1/2 binary32) x) s)) (*.f32 x x))) (neg.f32 s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(approx (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
33.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
42.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32)))))
40.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ -1 (* (/ 1/2 s) x))) 1) (/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))))
39.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ -1 (* (/ 1/2 s) x))) 1) (*.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/2 binary32))))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
42.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
42.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))
33.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
42.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (/.f32 x s) s) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))))
33.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
42.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x #s(literal 2 binary32)) (/.f32 x s))))
52.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))))
42.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))))
50.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
35.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (+ 2 (* (* (/ (/ x s) s) 1/2) x)) (/ (neg x) s)) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
38.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (+ 2 (* (* (/ (/ x s) s) 1/2) x)) (/ (neg x) s)) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
24.6%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
20.3%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) s) #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
17.5%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
18.4%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
16.2%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
33.9%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
14.5%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
29.6%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
6.8%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
6.8%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
33.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 3 794 to 1 762 computations (53.6% saved)

regimes322.0ms (3.4%)

Memory
-7.2MiB live, 488.9MiB allocated
Counts
138 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(approx (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (fma.f32 x (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (+ 2 (* (* (/ (/ x s) s) 1/2) x)) (/ (neg x) s)) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
(/.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 (+ (+ 2 (* (* (/ (/ x s) s) 1/2) x)) (/ (neg x) s)) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (fma.f32 (/.f32 (fma.f32 #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) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ -1 (* (/ 1/2 s) x))) 1) (*.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg 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)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ 1 (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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 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 (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (neg.f32 (*.f32 #s(literal 2 binary32) s)))) #s(literal 1 binary32)))))
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(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) (*.f32 s (neg.f32 s))) (/.f32 x (*.f32 s (neg.f32 s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) (/.f32 x s)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.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)))))
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) (-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (*.f32 x (/.f32 x s)) (*.f32 #s(literal 4 binary32) x)) s))) #s(literal -1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32)) s)) s)))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) #s(approx (exp (* (/ x s) -2)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 2 binary32) s) s) x (/.f32 #s(literal -2 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))) #s(literal 2 binary32))))
(*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
Outputs
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
Calls

7 calls:

74.0ms
(neg.f32 x)
52.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
46.0ms
s
40.0ms
x
38.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (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(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(neg.f32 x)
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes298.0ms (3.2%)

Memory
9.9MiB live, 488.9MiB allocated
Counts
134 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(approx (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (fma.f32 x (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (+ 2 (* (* (/ (/ x s) s) 1/2) x)) (/ (neg x) s)) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
(/.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 (+ (+ 2 (* (* (/ (/ x s) s) 1/2) x)) (/ (neg x) s)) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (fma.f32 (/.f32 (fma.f32 #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) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ -1 (* (/ 1/2 s) x))) 1) (*.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg 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)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ 1 (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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 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 (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (neg.f32 (*.f32 #s(literal 2 binary32) s)))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 s))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ -1 (* (/ 1/2 s) x))) 1) (/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
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(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) (-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (*.f32 x (/.f32 x s)) (*.f32 #s(literal 4 binary32) x)) s))) #s(literal -1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32)) s)) s)))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) #s(approx (exp (* (/ x s) -2)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 2 binary32) s) s) x (/.f32 #s(literal -2 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

80.0ms
x
41.0ms
s
40.0ms
(neg.f32 x)
34.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
34.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (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(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(neg.f32 x)
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes264.0ms (2.8%)

Memory
12.8MiB live, 319.1MiB allocated
Counts
126 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(approx (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (fma.f32 x (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (+ 2 (* (* (/ (/ x s) s) 1/2) x)) (/ (neg x) s)) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
(/.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 (+ (+ 2 (* (* (/ (/ x s) s) 1/2) x)) (/ (neg x) s)) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (fma.f32 (/.f32 (fma.f32 #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) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ -1 (* (/ 1/2 s) x))) 1) (*.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg 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)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ 1 (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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 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 (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (neg.f32 (*.f32 #s(literal 2 binary32) s)))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 s))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ -1 (* (/ 1/2 s) x))) 1) (/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (neg.f32 x)) (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s)) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x #s(literal 2 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 s)) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (neg.f32 s)) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (/.f32 x s) s) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal 1/2 binary32) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x) (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(approx (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (neg.f32 s))) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x))) s)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (neg.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 x s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 x s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 (*.f32 (/.f32 (neg.f32 x) s) x)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (neg.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 (neg.f32 x) (neg.f32 s))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.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 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 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) s) x)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal -1 binary32) (/.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))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.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))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 (*.f32 s s))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x #s(literal 1 binary32)) (/.f32 s x)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(approx (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) s) s) (/.f32 (/.f32 #s(literal 1/2 binary32) x) s)) (*.f32 x x))) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (/.f32 x s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) (*.f32 s (neg.f32 s))) (/.f32 x (*.f32 s (neg.f32 s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) (/.f32 x s)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 1 binary32)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x))))
Calls

7 calls:

50.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
48.0ms
(/.f32 (neg.f32 x) s)
38.0ms
s
35.0ms
(neg.f32 x)
32.0ms
x
Results
AccuracySegmentsBranch
89.0%2x
63.2%2s
90.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
90.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
90.4%2(exp.f32 (/.f32 (neg.f32 x) s))
90.4%2(/.f32 (neg.f32 x) s)
89.0%2(neg.f32 x)
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes144.0ms (1.5%)

Memory
-12.4MiB live, 144.7MiB allocated
Counts
96 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
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(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x))) s)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (neg.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
Calls

4 calls:

53.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
33.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
30.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
24.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
90.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
90.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
90.4%2(exp.f32 (/.f32 (neg.f32 x) s))
90.4%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 25 to 24 computations (4% saved)

regimes99.0ms (1%)

Memory
-2.0MiB live, 85.9MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(approx (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (fma.f32 x (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (+ 2 (* (* (/ (/ x s) s) 1/2) x)) (/ (neg x) s)) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.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 (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
Calls

6 calls:

49.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
16.0ms
(neg.f32 x)
9.0ms
x
8.0ms
(/.f32 (neg.f32 x) s)
7.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
80.8%3x
80.8%3(neg.f32 x)
88.2%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
88.2%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
88.2%3(exp.f32 (/.f32 (neg.f32 x) s))
88.2%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes54.0ms (0.6%)

Memory
8.3MiB live, 80.7MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(approx (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (fma.f32 x (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32)))))
Calls

6 calls:

13.0ms
(/.f32 (neg.f32 x) s)
10.0ms
x
8.0ms
(neg.f32 x)
7.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
67.8%2x
67.8%2(neg.f32 x)
70.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
70.5%2(/.f32 (neg.f32 x) s)
70.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
70.5%2(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes61.0ms (0.6%)

Memory
-17.6MiB live, 106.8MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(approx (- 1 (/ (+ (* (* x (/ x s)) -1/6) (* 1/2 x)) s)) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 1 binary32)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32)))))
Calls

7 calls:

11.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
8.0ms
(neg.f32 x)
8.0ms
s
8.0ms
x
Results
AccuracySegmentsBranch
42.1%1s
51.1%2x
51.1%2(neg.f32 x)
52.5%2(/.f32 (neg.f32 x) s)
52.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
52.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
52.5%2(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes35.0ms (0.4%)

Memory
6.7MiB live, 44.8MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #s(literal 1 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
Calls

4 calls:

15.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
7.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
52.5%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
52.5%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
52.5%2(exp.f32 (/.f32 (neg.f32 x) s))
52.5%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 25 to 24 computations (4% saved)

regimes28.0ms (0.3%)

Memory
17.7MiB live, 54.3MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
Calls

4 calls:

9.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
6.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (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(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
51.5%2(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes43.0ms (0.5%)

Memory
5.2MiB live, 83.6MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
Calls

6 calls:

10.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
8.0ms
(neg.f32 x)
7.0ms
(/.f32 (neg.f32 x) s)
6.0ms
x
5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
49.4%2x
49.4%2(neg.f32 x)
50.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
50.3%2(exp.f32 (/.f32 (neg.f32 x) s))
50.3%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes26.0ms (0.3%)

Memory
-6.6MiB live, 67.1MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
Calls

4 calls:

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)))
6.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
50.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.1%2(/.f32 (neg.f32 x) s)
50.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
50.1%2(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes27.0ms (0.3%)

Memory
16.1MiB live, 57.7MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (pow (exp (neg x)) (/ (/ -1 s) -2)) 2)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #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:

11.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
6.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
50.1%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
50.1%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
50.1%2(exp.f32 (/.f32 (neg.f32 x) s))
50.1%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 25 to 24 computations (4% saved)

regimes36.0ms (0.4%)

Memory
-23.5MiB live, 91.9MiB allocated
Accuracy

Total -8.9b remaining (-42.1%)

Threshold costs -8.9b (-42.1%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 #s(literal 1/4 binary32) (/.f32 s x))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 0 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (neg.f32 x) (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (/.f32 #s(literal -1 binary32) s) #s(literal 1/2 binary32)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Calls

7 calls:

6.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(neg.f32 x)
5.0ms
x
5.0ms
s
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
33.9%1s
33.9%1x
33.9%1(neg.f32 x)
33.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
33.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
33.9%1(exp.f32 (/.f32 (neg.f32 x) s))
33.9%1(/.f32 (neg.f32 x) s)
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.496809184551239
11.011794090270996
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.496809184551239
11.011794090270996
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6434688568115234
60584.484375
0.0ms
0.0004303280438762158
0.42403319478034973
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0004303280438762158
0.42403319478034973
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0004303280438762158
0.42403319478034973
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0004303280438762158
0.42403319478034973
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0004303280438762158
0.42403319478034973
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0004303280438762158
0.42403319478034973
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0004303280438762158
0.42403319478034973
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.750962734222412
-0.8579435348510742
Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify56.0ms (0.6%)

Memory
-10.4MiB live, 76.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120639
1150639
2170639
3187639
4219639
5259639
6314639
7434639
8556639
9652639
10728639
11764639
12782639
13783639
Stop Event
saturated
Calls
Call 1
Inputs
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) 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)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)))))
(if (<=.f32 (/.f32 (neg.f32 x) 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)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) (if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.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 (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Outputs
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) 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)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)))))
(if (<=.f32 (/.f32 (neg.f32 x) 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)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) (if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (+.f32 (*.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 (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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 (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #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(approx (exp (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32))) #s(literal 1 binary32))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32))) #s(literal 1 binary32))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 x #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ (neg x) (neg s))) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/17179869184 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

soundness2.3s (24.6%)

Memory
38.4MiB live, 1 307.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05525151
117234780
251524653
083824397
040257
069248
1298248
22437248
08737245
063516
097498
1423465
23582465
09029434
0827
01327
14827
225527
3210127
0846526
04185724
112635109
240144855
083924578
047326
080309
1370297
23132297
08585291
0140857
1378768
21150742
33902722
08435682
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 722 to 391 computations (45.8% saved)

preprocess56.0ms (0.6%)

Memory
-7.6MiB live, 111.0MiB allocated
Compiler

Compiled 698 to 198 computations (71.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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