Logistic distribution

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze59.0ms (0.6%)

Memory
-28.0MiB live, 97.9MiB 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 34 to 17 computations (50% saved)

sample1.5s (16.5%)

Memory
22.0MiB live, 2 081.0MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 786.0ms
ival-div: 144.0ms (18.3% of total)
ival-mult: 134.0ms (17% of total)
const: 124.0ms (15.8% of total)
ival-exp: 89.0ms (11.3% of total)
ival-fabs: 83.0ms (10.6% of total)
ival-<=: 80.0ms (10.2% of total)
ival-add: 65.0ms (8.3% of total)
ival-neg: 39.0ms (5% of total)
ival-and: 12.0ms (1.5% of total)
exact: 12.0ms (1.5% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain188.0ms (2.1%)

Memory
19.1MiB live, 327.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
00-0-#s(literal 1 binary32)
02(-7.298654556274414 0.048053767532110214)0-(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
00-0-s
00-0-(neg.f32 (fabs.f32 x))
00-0-(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
00-0-(/.f32 (neg.f32 (fabs.f32 x)) s)
00-0-(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
00-0-x
00-0-(fabs.f32 x)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))sensitivity21
/.f32(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))u/n10
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))underflow198
Confusion
Predicted +Predicted -
+10
-1254
Precision
0.5
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-11253
Precision?
0.3333333333333333
Recall?
1.0
Freqs
test
numberfreq
0254
11
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms512×0valid
Compiler

Compiled 276 to 48 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 13.0ms (40% of total)
ival-mult: 6.0ms (18.5% of total)
ival-exp: 4.0ms (12.3% of total)
ival-add: 3.0ms (9.2% of total)
ival-fabs: 3.0ms (9.2% of total)
ival-neg: 2.0ms (6.2% of total)
ival-true: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess179.0ms (2%)

Memory
-16.5MiB live, 243.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
031140
1123128
2441123
31388121
44005121
56584121
01126
01926
14526
211425
322825
438225
567419
6125118
7252518
8469418
0824418
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
Symmetry

(abs x)

Compiler

Compiled 26 to 11 computations (57.7% saved)

eval0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Compiler

Compiled 26 to 11 computations (57.7% saved)

simplify153.0ms (1.7%)

Memory
-13.8MiB live, 223.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (neg.f32 (fabs.f32 x)) s)
cost-diff0
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
cost-diff64
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
cost-diff3776
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01182
01982
14582
211479
322879
438279
567473
6125172
7252572
8469472
0824471
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(fma.f32 (/.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) s s)
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)

localize34.0ms (0.4%)

Memory
8.0MiB live, 79.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
accuracy0.023073791389095776
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy0.03125
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
accuracy0.13609860022195736
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Samples
22.0ms256×0valid
Compiler

Compiled 166 to 24 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (30.9% of total)
ival-mult: 3.0ms (23.2% of total)
ival-exp: 2.0ms (15.4% of total)
ival-fabs: 2.0ms (15.4% of total)
ival-add: 1.0ms (7.7% of total)
ival-neg: 1.0ms (7.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
16.1MiB live, 60.8MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())
#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())
Outputs
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ())
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor 0 s) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ())
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor 0 s) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ())
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor 0 s) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ())
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor 0 s) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ())
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor 0 s) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ())
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor 0 s) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ())
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor 0 s) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))
4.0ms
s
@inf
((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))
3.0ms
s
@0
((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))
2.0ms
s
@-inf
((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))
2.0ms
x
@-inf
((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))

simplify237.0ms (2.6%)

Memory
-28.6MiB live, 308.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02302016
17011879
223151724
083771675
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(* 2 s)
(* s (+ 2 (* -1 (/ (fabs x) s))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(* 2 s)
(* -1 (* s (- (/ (fabs x) s) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* 4 s)
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
Outputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/.f32 (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/24 binary32) (+.f32 (-.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) (-.f32 (*.f32 (*.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -5/3 binary32)) #s(literal 1/16 binary32)) (/.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (pow.f32 s #s(literal 3 binary32))))) #s(literal 1/4 binary32))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) (pow.f32 s #s(literal 4 binary32))) #s(literal 1/96 binary32) (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/24 binary32) #s(literal 1/4 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/16 binary32) (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 #s(literal 1/16 binary32) (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -5/3 binary32) (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) (pow.f32 s #s(literal 4 binary32)))) (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))))))) s)
(* 2 s)
(*.f32 #s(literal 2 binary32) s)
(* s (+ 2 (* -1 (/ (fabs x) s))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) s)
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(*.f32 (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32)) s)
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32))) s)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 1 binary32)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* 4 s)
(*.f32 #s(literal 4 binary32) s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(*.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(*.f32 (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))) s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(*.f32 (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -5/3 binary32) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))) s)
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32)))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(/.f32 (-.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/4 binary32)) (fma.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))) #s(literal 1/16 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (pow.f32 s #s(literal 3 binary32))))) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(/.f32 (-.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) #s(literal 1/96 binary32) (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/16 binary32) (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))))) (fma.f32 (*.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) #s(literal 3/4 binary32)) #s(literal 1/16 binary32) (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) (*.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/16 binary32) (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) s) (fabs.f32 x))))) (pow.f32 s #s(literal 3 binary32)))) (neg.f32 s))
(* 2 s)
(*.f32 #s(literal 2 binary32) s)
(* -1 (* s (- (/ (fabs x) s) 2)))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) s)
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(*.f32 (neg.f32 s) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
(*.f32 (+.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (neg.f32 s)) (fabs.f32 x)) s) #s(literal 2 binary32)) s)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* 4 s)
(*.f32 #s(literal 4 binary32) s)
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(*.f32 (neg.f32 s) (fma.f32 #s(literal 4 binary32) (/.f32 (fabs.f32 x) s) #s(literal -4 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(*.f32 (neg.f32 s) (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
(*.f32 (neg.f32 s) (-.f32 #s(literal -4 binary32) (/.f32 (-.f32 (*.f32 #s(literal -4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal -3 binary32) (*.f32 x x) (*.f32 #s(literal 5/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s))) s)) s)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))

rewrite178.0ms (2%)

Memory
-0.6MiB live, 269.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01174
01974
17460
247359
3532559
0825559
Stop Event
iter limit
node limit
iter limit
Counts
6 → 608
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
Outputs
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eval190.0ms (2.1%)

Memory
21.6MiB live, 424.0MiB allocated
Compiler

Compiled 44 656 to 3 457 computations (92.3% saved)

prune36.0ms (0.4%)

Memory
-27.5MiB live, 135.3MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1 258131 271
Fresh000
Picked101
Done000
Total1 259131 272
Accuracy
100.0%
Counts
1 272 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.6%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) s)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))))
99.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
83.8%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
97.8%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32)))))
96.2%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
97.1%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
96.0%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
99.5%
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
99.5%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
99.2%
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
98.5%
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
23.5%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s))
23.7%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
Compiler

Compiled 584 to 366 computations (37.3% saved)

simplify167.0ms (1.8%)

Memory
40.8MiB live, 226.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
cost-diff0
(+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s))
cost-diff96
(*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
cost-diff5952
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
cost-diff0
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
cost-diff0
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
cost-diff3296
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
cost-diff0
(/.f32 (neg.f32 (fabs.f32 x)) s)
cost-diff0
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
cost-diff64
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
cost-diff3552
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
cost-diff0
(/.f32 #s(literal 1/4 binary32) s)
cost-diff0
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
cost-diff0
(neg.f32 (fabs.f32 x))
cost-diff0
(/.f32 (neg.f32 (fabs.f32 x)) s)
cost-diff0
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
cost-diff3008
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037429
061419
1101418
2215415
3510409
4979402
52808402
64466402
76239402
87955402
08101401
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
s
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
#s(literal 1 binary32)
(*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
#s(literal 2 binary32)
(exp.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
(*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
(+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s))
(log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
#s(literal 2 binary32)
(/.f32 (fabs.f32 x) s)
#s(literal -1 binary32)
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
s
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s s))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))
(*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s))
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))
#s(literal 1 binary32)
(*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(*.f32 (+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
#s(literal 2 binary32)
(exp.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))
(*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
(-.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)))
(+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s))
(log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
#s(literal 2 binary32)
(/.f32 (fabs.f32 x) s)
#s(literal -1 binary32)

localize117.0ms (1.3%)

Memory
-26.8MiB live, 266.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.023073791389095776
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy0.0390625
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
accuracy0.046875
(+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s))
accuracy0.4770573345149087
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
accuracy0.023073791389095776
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy0.02734375
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
accuracy0.0390625
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
accuracy0.13230585072621437
(*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
accuracy0.023073791389095776
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy0.03125
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))
accuracy0.13609860022195736
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
accuracy18.926748225097644
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
accuracy0
(/.f32 #s(literal 1/4 binary32) s)
accuracy24.417333876353002
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
accuracy0.01953125
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)
accuracy0.023073791389095776
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy0.0390625
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
accuracy0.13609860022195736
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
Samples
92.0ms256×0valid
Compiler

Compiled 800 to 58 computations (92.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-pow2: 15.0ms (28.6% of total)
ival-div: 11.0ms (21% of total)
ival-mult: 10.0ms (19.1% of total)
ival-exp: 7.0ms (13.3% of total)
ival-log: 3.0ms (5.7% of total)
ival-add: 2.0ms (3.8% of total)
ival-fabs: 2.0ms (3.8% of total)
exact: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series183.0ms (2%)

Memory
17.3MiB live, 289.5MiB allocated
Counts
19 → 432
Calls
Call 1
Inputs
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())
#s(alt (neg.f32 (fabs.f32 x)) (patch (neg.f32 (fabs.f32 x)) #<representation binary32>) () ())
#s(alt #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) (patch #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) s) (patch (/.f32 #s(literal 1/4 binary32) s) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())
#s(alt (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) (patch (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s) (patch (*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s) #<representation binary32>) () ())
#s(alt (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())
#s(alt (exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))) (patch (exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) (patch (*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) (patch (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #<representation binary32>) () ())
#s(alt (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())
#s(alt (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s) (patch (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (patch #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) #<representation binary32>) () ())
Outputs
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())) ())
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#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor -inf x) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
45.0ms
x
@-inf
((/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (* (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1) (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
37.0ms
s
@0
((/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (* (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1) (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
28.0ms
s
@-inf
((/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (* (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1) (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
22.0ms
x
@inf
((/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (* (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1) (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
20.0ms
x
@0
((/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (* (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1) (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))

simplify206.0ms (2.3%)

Memory
-21.9MiB live, 297.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05127977
116387094
261206463
088016327
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
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(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
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(* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
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(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
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(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(* -1 (/ (fabs x) s))
(/ (+ (* -1 (fabs x)) (* -1 (* s (+ (log s) (log (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) s)
(/ (+ (* -1 (fabs x)) (* -1 (* s (+ (log s) (log (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) s)
(/ (+ (* -1 (fabs x)) (* -1 (* s (+ (log s) (log (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) s)
(/ (fabs x) s)
(/ (+ (fabs x) (* s (+ (log s) (log (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) s)
(/ (+ (fabs x) (* s (+ (log s) (log (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) s)
(/ (+ (fabs x) (* s (+ (log s) (log (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) s)
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1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(* 2 s)
(* s (+ 2 (* -1 (/ (fabs x) s))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
4
(+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ (fabs x) s))))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (+ (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2))))))))))))
(* 4 s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ (fabs x) s)))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -2 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 4 (/ (fabs x) s)) (+ (* 4 (/ (pow (fabs x) 2) (pow s 2))) (+ (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))))))))))
4
(+ 4 (* -4 (/ (fabs x) s)))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(exp (* -1 (+ (log 4) (* -1 (log (/ 1 s))))))
(+ (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (* -1 (/ (* (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (fabs x) (* -1 (fabs x)))) s)))
(+ (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1 (/ (* (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (fabs x) (* -1 (fabs x)))) s)) (/ (* (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1/2 (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2)))) (pow s 2))))
(+ (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1 (/ (* (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (fabs x) (* -1 (fabs x)))) s)) (+ (/ (* (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1/2 (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2)))) (pow s 2)) (/ (* (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1/6 (+ (* -2 (pow (fabs x) 3)) (+ (* 3/2 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 3/2 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (+ (* -1/6 (pow (+ (fabs x) (* -1 (fabs x))) 3)) (* 1/2 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))))) (pow s 3)))))
(* -1 (+ (log 4) (* -1 (log (/ 1 s)))))
(+ (* -1 (+ (log 4) (* -1 (log (/ 1 s))))) (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s)))
(+ (* -1 (+ (log 4) (* -1 (log (/ 1 s))))) (+ (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))))
(+ (* -1 (+ (log 4) (* -1 (log (/ 1 s))))) (+ (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s)) (+ (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (+ (* 3/2 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 3/2 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))))) (pow s 3))))))
(+ (log 4) (* -1 (log (/ 1 s))))
(+ (log 4) (+ (* -1 (log (/ 1 s))) (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s))))
(+ (log 4) (+ (* -1 (log (/ 1 s))) (+ (* -1 (/ (fabs x) s)) (+ (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (/ (fabs x) s)))))
(+ (log 4) (+ (* -1 (log (/ 1 s))) (+ (* -1 (/ (fabs x) s)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (+ (* 3/2 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 3/2 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))))) (pow s 3))) (+ (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (/ (fabs x) s))))))
(+ (log 4) (* -1 (log (/ 1 s))))
(+ (log 4) (+ (* -1 (log (/ 1 s))) (* -1 (/ (fabs x) s))))
(+ (log 4) (+ (* -1 (log (/ 1 s))) (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))))))
(+ (log 4) (+ (* -1 (log (/ 1 s))) (+ (* -1 (/ (fabs x) s)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (+ (* 3/2 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 3/2 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))))) (pow s 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))))))
(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(* 2 s)
(* -1 (* s (- (/ (fabs x) s) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
4
(+ 4 (* -1 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s)))
(+ 4 (* -1 (/ (+ (* -4 (fabs x)) (+ (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x)))) s)))
(+ 4 (* -1 (/ (+ (* -4 (fabs x)) (+ (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (pow (fabs x) 3)) (pow (fabs x) 3))))) s)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 4 (fabs x)))) s)))
(* 4 s)
(* -1 (* s (- (+ (* -4 (/ (fabs x) s)) (* 4 (/ (fabs x) s))) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (/ (pow (fabs x) 2) s)) (+ (* -1 (+ (* -4 (fabs x)) (* 4 (fabs x)))) (+ (* 4 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s)))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (+ (* -4 (fabs x)) (* 4 (fabs x)))) (* -1 (/ (+ (* -1 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -1 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (+ (* -2/3 (/ (pow (fabs x) 3) s)) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (+ (* 2 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s)))))) s))) s)) 4)))
4
(+ 4 (* -4 (/ (fabs x) s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(exp (* -1 (+ (log -4) (* -1 (log (/ -1 s))))))
(+ (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (/ (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (fabs x) (* -1 (fabs x)))) s))
(+ (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (fabs x) (* -1 (fabs x))))) (* -1 (/ (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* -1/2 (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2)))) s))) s)))
(+ (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (fabs x) (* -1 (fabs x))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* -1/6 (+ (* -3/2 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 3/2 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* 2 (pow (fabs x) 3))))) (+ (* -1/6 (pow (+ (fabs x) (* -1 (fabs x))) 3)) (* 1/2 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))))) s)) (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* -1/2 (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))))) s))) s)))
(* -1 (+ (log -4) (* -1 (log (/ -1 s)))))
(+ (* -1 (+ (log -4) (* -1 (log (/ -1 s))))) (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s)))
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2
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Outputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
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(/.f32 #s(literal 1/4 binary32) s)
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(/ 1/4 s)
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4
#s(literal 4 binary32)
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#s(literal 4 binary32)
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(* 4 s)
(*.f32 #s(literal 4 binary32) s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ (fabs x) s)))))
(*.f32 #s(literal 4 binary32) s)
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4
#s(literal 4 binary32)
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2
#s(literal 2 binary32)
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(+.f32 (+.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (/.f32 (*.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -9/2 binary32) (*.f32 #s(literal 3/2 binary32) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 3 binary32)))) #s(literal 1/6 binary32)) (pow.f32 s #s(literal 3 binary32)))) (/.f32 (fabs.f32 x) s)) (log.f32 s)) (log.f32 #s(literal 4 binary32)))
(* 4 s)
(*.f32 #s(literal 4 binary32) s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(*.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(*.f32 (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))) s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(*.f32 (+.f32 (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (*.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -5/3 binary32))) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))) s)
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(+.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s)) #s(literal 2 binary32))
(* 4 s)
(*.f32 #s(literal 4 binary32) s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(*.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(*.f32 (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))) s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(*.f32 (+.f32 (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (*.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -5/3 binary32))) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s))) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(/.f32 (-.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/4 binary32)) (fma.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))) #s(literal 1/16 binary32) (/.f32 (*.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (fabs.f32 x)) (pow.f32 s #s(literal 3 binary32))))) (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s))) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) #s(literal 1/96 binary32)) (-.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (*.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (fabs.f32 x)))) (fma.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) s) (fma.f32 (-.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (*.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (fabs.f32 x))) (/.f32 (fabs.f32 x) s) (*.f32 (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) s) #s(literal 1/16 binary32))))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)))) (neg.f32 s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s))) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(/.f32 (-.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/4 binary32)) (fma.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))) #s(literal 1/16 binary32) (/.f32 (*.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (fabs.f32 x)) (pow.f32 s #s(literal 3 binary32))))) (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s))) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) #s(literal 1/96 binary32)) (-.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (*.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (fabs.f32 x)))) (fma.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) s) (fma.f32 (-.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (*.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (fabs.f32 x))) (/.f32 (fabs.f32 x) s) (*.f32 (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) s) #s(literal 1/16 binary32))))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)))) (neg.f32 s))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s))) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(/.f32 (-.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/4 binary32)) (fma.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))) #s(literal 1/16 binary32) (/.f32 (*.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (fabs.f32 x)) (pow.f32 s #s(literal 3 binary32))))) (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s))) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) #s(literal 1/96 binary32)) (-.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (*.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (fabs.f32 x)))) (fma.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) s) (fma.f32 (-.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (*.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (fabs.f32 x))) (/.f32 (fabs.f32 x) s) (*.f32 (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) s) #s(literal 1/16 binary32))))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)))) (neg.f32 s))
(* 2 s)
(*.f32 #s(literal 2 binary32) s)
(* -1 (* s (- (/ (fabs x) s) 2)))
(*.f32 (neg.f32 s) (-.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(*.f32 (neg.f32 s) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
(*.f32 (neg.f32 s) (-.f32 (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal 1/6 binary32))) s) (fabs.f32 x)) s) #s(literal 2 binary32)))
4
#s(literal 4 binary32)
(+ 4 (* -1 (/ (+ (* -4 (fabs x)) (* 4 (fabs x))) s)))
#s(literal 4 binary32)
(+ 4 (* -1 (/ (+ (* -4 (fabs x)) (+ (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x)))) s)))
(-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))
(+ 4 (* -1 (/ (+ (* -4 (fabs x)) (+ (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (pow (fabs x) 3)) (pow (fabs x) 3))))) s)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 4 (fabs x)))) s)))
(-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))
(* 4 s)
(*.f32 #s(literal 4 binary32) s)
(* -1 (* s (- (+ (* -4 (/ (fabs x) s)) (* 4 (/ (fabs x) s))) 4)))
(*.f32 #s(literal 4 binary32) s)
(* -1 (* s (- (* -1 (/ (+ (* -4 (/ (pow (fabs x) 2) s)) (+ (* -1 (+ (* -4 (fabs x)) (* 4 (fabs x)))) (+ (* 4 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s)))) s)) 4)))
(*.f32 (neg.f32 s) (-.f32 #s(literal -4 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) s)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (+ (* -4 (fabs x)) (* 4 (fabs x)))) (* -1 (/ (+ (* -1 (+ (* -4 (pow (fabs x) 2)) (+ (* 4 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -1 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (+ (* -2/3 (/ (pow (fabs x) 3) s)) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (+ (* 2 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s)))))) s))) s)) 4)))
(*.f32 (neg.f32 s) (-.f32 (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s) #s(literal 4 binary32)))
4
#s(literal 4 binary32)
(+ 4 (* -4 (/ (fabs x) s)))
(fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(+.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
(-.f32 #s(literal 4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3 binary32) (*.f32 x x) (/.f32 (*.f32 #s(literal -5/3 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) s)) s)) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s))
(exp (* -1 (+ (log -4) (* -1 (log (/ -1 s))))))
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(* 4 s)
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(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
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(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
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2
#s(literal 2 binary32)
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(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(*.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(*.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(*.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* s (* (exp (/ (fabs x) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(*.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) #s(literal -1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) #s(literal -1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) #s(literal -1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) #s(literal -1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)))
(* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)))
(* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)))
(* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)))
(+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))
(+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s))
(+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))
(+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s))
(+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))
(+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s))
(+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))
(+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s))
(log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s))
(log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s))
(log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s))
(log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)

rewrite215.0ms (2.4%)

Memory
19.4MiB live, 327.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036271
059262
1169261
2953254
08824245
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 284
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
(*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
(+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s))
(log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval487.0ms (5.4%)

Memory
49.5MiB live, 1 027.8MiB allocated
Compiler

Compiled 94 802 to 7 878 computations (91.7% saved)

prune69.0ms (0.8%)

Memory
-28.4MiB live, 287.1MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New3 146153 161
Fresh718
Picked325
Done000
Total3 156183 174
Accuracy
100.0%
Counts
3 174 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
83.6%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)) s))
99.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
97.2%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
97.1%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
96.0%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
99.5%
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
96.0%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
76.8%
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
99.1%
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
73.1%
(exp.f32 (*.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (log.f32 s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
95.1%
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
92.2%
(exp.f32 #s(approx (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1) (-.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))) (log.f32 #s(literal 4 binary32))) (log.f32 s))))
21.0%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
23.7%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
22.6%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp.f32 (*.f32 (log.f32 (*.f32 s #s(literal 4 binary32))) #s(literal -1 binary32))))
23.7%
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))))
78.2%
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
Compiler

Compiled 571 to 427 computations (25.2% saved)

simplify141.0ms (1.6%)

Memory
1.9MiB live, 249.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
cost-diff0
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
cost-diff0
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32))
cost-diff0
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)
cost-diff0
(fabs.f32 x)
cost-diff0
(neg.f32 (fabs.f32 x))
cost-diff0
(/.f32 (neg.f32 (fabs.f32 x)) s)
cost-diff0
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
cost-diff0
(neg.f32 (fabs.f32 x))
cost-diff0
(/.f32 (neg.f32 (fabs.f32 x)) s)
cost-diff0
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
cost-diff0
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
cost-diff0
(/.f32 #s(literal 1 binary32) s)
cost-diff0
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
cost-diff192
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))
cost-diff0
(/.f32 #s(literal -1 binary32) s)
cost-diff0
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))
cost-diff96
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
cost-diff3008
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
047369
074360
1110359
2167358
3296357
4588357
51263355
62297355
73577355
85088355
08365355
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
s
(fabs.f32 x)
x
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
#s(literal 2 binary32)
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))
(/.f32 #s(literal 1 binary32) s)
#s(literal 1 binary32)
s
#s(literal 1/4 binary32)
#s(literal 0 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)
#s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32))
#s(literal 4 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s)
(pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
#s(literal 2 binary32)
(/.f32 (fabs.f32 x) s)
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
#s(literal -2 binary32)
Outputs
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
s
(fabs.f32 x)
x
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
#s(literal 2 binary32)
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (/.f32 #s(literal 1/4 binary32) s))
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 1 binary32)
s
#s(literal 1/4 binary32)
#s(literal 0 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)
#s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32))
#s(literal 4 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s)
(pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
#s(literal 2 binary32)
(/.f32 (fabs.f32 x) s)
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)
(/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal -2 binary32)) s)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal -2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
#s(literal -2 binary32)

localize104.0ms (1.1%)

Memory
4.8MiB live, 280.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.014003759768442016
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32))
accuracy0.023073791389095776
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy0.03515625
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)
accuracy0.2806188325719993
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
accuracy0.023073791389095776
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy0.0390625
(pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))
accuracy0.13609860022195736
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
accuracy25.13970278610087
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
accuracy0.01953125
(*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)
accuracy0.023073791389095776
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy0.13609860022195736
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
accuracy19.77946599155966
#s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32))
accuracy0
(/.f32 #s(literal 1 binary32) s)
accuracy24.417333876353002
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
accuracy30.587638343281025
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))
accuracy0.023073791389095776
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))
accuracy0.0390625
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
accuracy0.13609860022195736
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
accuracy0.32705194063777426
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
Samples
76.0ms256×0valid
Compiler

Compiled 617 to 70 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 16.0ms (30.7% of total)
ival-mult: 11.0ms (21.1% of total)
ival-exp: 6.0ms (11.5% of total)
ival-pow2: 5.0ms (9.6% of total)
ival-add: 4.0ms (7.7% of total)
ival-log: 4.0ms (7.7% of total)
ival-pow: 3.0ms (5.7% of total)
ival-fabs: 1.0ms (1.9% of total)
ival-sub: 1.0ms (1.9% of total)
exact: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series58.0ms (0.6%)

Memory
3.2MiB live, 162.7MiB allocated
Counts
22 → 468
Calls
Call 1
Inputs
#s(alt (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) (patch (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) #<representation binary32>) () ())
#s(alt (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (patch (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1 binary32) s) (patch (/.f32 #s(literal -1 binary32) s) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)) (patch (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) (patch #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) s) (patch (/.f32 #s(literal 1 binary32) s) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())
#s(alt (neg.f32 (fabs.f32 x)) (patch (neg.f32 (fabs.f32 x)) #<representation binary32>) () ())
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())
#s(alt (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (patch (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) #<representation binary32>) () ())
#s(alt (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (patch (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())
#s(alt (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) (patch #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s) (patch (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) (patch #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())
#s(alt (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (patch (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())
Outputs
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) (patch (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) (patch (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) (patch (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) (patch (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (patch (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (patch (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (patch (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (patch (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (/ -1 s) (taylor 0 s) (#s(alt (/.f32 #s(literal -1 binary32) s) (patch (/.f32 #s(literal -1 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1 s) (taylor 0 s) (#s(alt (/.f32 #s(literal -1 binary32) s) (patch (/.f32 #s(literal -1 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1 s) (taylor 0 s) (#s(alt (/.f32 #s(literal -1 binary32) s) (patch (/.f32 #s(literal -1 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ -1 s) (taylor 0 s) (#s(alt (/.f32 #s(literal -1 binary32) s) (patch (/.f32 #s(literal -1 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 s) (taylor 0 s) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)) (patch (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 s) (taylor 0 s) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)) (patch (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 s) (taylor 0 s) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)) (patch (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 s) (taylor 0 s) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)) (patch (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s)))) (taylor 0 s) (#s(alt #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) (patch #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s)))) (taylor 0 s) (#s(alt #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) (patch #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s)))) (taylor 0 s) (#s(alt #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) (patch #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s)))) (taylor 0 s) (#s(alt #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) (patch #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 1 s) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) s) (patch (/.f32 #s(literal 1 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ 1 s) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) s) (patch (/.f32 #s(literal 1 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ 1 s) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) s) (patch (/.f32 #s(literal 1 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ 1 s) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) s) (patch (/.f32 #s(literal 1 binary32) s) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) #<representation binary32>) () ())) ())
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ())
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#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor -inf x) (#s(alt (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@0
((/ (exp (* (/ -1 s) (fabs x))) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (* (/ -1 s) (fabs x)) (exp (* (/ -1 s) (fabs x))) (/ -1 s) (+ (* (/ 1 s) 1/4) 0) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (/ 1 s) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ 1 (exp (/ (neg (fabs x)) s))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))))
10.0ms
x
@-inf
((/ (exp (* (/ -1 s) (fabs x))) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (* (/ -1 s) (fabs x)) (exp (* (/ -1 s) (fabs x))) (/ -1 s) (+ (* (/ 1 s) 1/4) 0) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (/ 1 s) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ 1 (exp (/ (neg (fabs x)) s))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))))
9.0ms
x
@inf
((/ (exp (* (/ -1 s) (fabs x))) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (* (/ -1 s) (fabs x)) (exp (* (/ -1 s) (fabs x))) (/ -1 s) (+ (* (/ 1 s) 1/4) 0) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (/ 1 s) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ 1 (exp (/ (neg (fabs x)) s))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))))
3.0ms
s
@0
((/ (exp (* (/ -1 s) (fabs x))) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (* (/ -1 s) (fabs x)) (exp (* (/ -1 s) (fabs x))) (/ -1 s) (+ (* (/ 1 s) 1/4) 0) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (/ 1 s) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ 1 (exp (/ (neg (fabs x)) s))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))))
2.0ms
s
@inf
((/ (exp (* (/ -1 s) (fabs x))) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (* (/ -1 s) (fabs x)) (exp (* (/ -1 s) (fabs x))) (/ -1 s) (+ (* (/ 1 s) 1/4) 0) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (/ 1 s) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ 1 (exp (/ (neg (fabs x)) s))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))))

simplify187.0ms (2.1%)

Memory
-0.8MiB live, 328.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03787536
112006809
244036338
089416198
Stop Event
iter limit
node limit
Counts
468 → 468
Calls
Call 1
Inputs
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(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* -1 (/ (fabs x) s))
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(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(/ -1 s)
(/ -1 s)
(/ -1 s)
(/ -1 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
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(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
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(exp (* -1 (/ (fabs x) s)))
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(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
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(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
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(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
1
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1
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(/ (- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
1/4
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(- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))))
2
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(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
4
(+ 4 (* -4 (/ (fabs x) s)))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))
4
(+ 4 (* -4 (/ (fabs x) s)))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))
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(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
4
(+ 4 (* -4 (/ (fabs x) s)))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(/ -1 s)
(/ -1 s)
(/ -1 s)
(/ -1 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(exp (* -1 (+ (log -4) (* -1 (log (/ -1 s))))))
(+ (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (/ (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (fabs x) (* -1 (fabs x)))) s))
(+ (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (fabs x) (* -1 (fabs x))))) (* -1 (/ (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* -1/2 (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2)))) s))) s)))
(+ (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (fabs x) (* -1 (fabs x))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* -1/6 (+ (* -3/2 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 3/2 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* 2 (pow (fabs x) 3))))) (+ (* -1/6 (pow (+ (fabs x) (* -1 (fabs x))) 3)) (* 1/2 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))))) s)) (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* -1/2 (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))))) s))) s)))
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ 1/4 s)
(* -1 (/ (- (* -1/4 (/ (fabs x) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 1/4 (fabs x))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (+ (* -1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))))) s)) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)) 1/4) s))
1/4
(+ 1/4 (* 1/4 (/ (fabs x) s)))
(+ 1/4 (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs x) 2) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s))) (* 1/4 (fabs x))) s)))
(+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (+ (* -1/16 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
4
(+ 4 (* -4 (/ (fabs x) s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
4
(+ 4 (* -4 (/ (fabs x) s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
(* 4 s)
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
4
(+ 4 (* -4 (/ (fabs x) s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
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(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
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(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
Outputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) #s(literal -1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) #s(literal -1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) #s(literal -1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) #s(literal -1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
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4
#s(literal 4 binary32)
(+ 4 (* -4 (/ (fabs x) s)))
(fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))
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(fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))
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4
#s(literal 4 binary32)
(+ 4 (* -4 (/ (fabs x) s)))
(fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))
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(* 4 s)
(*.f32 #s(literal 4 binary32) s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(*.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
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(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
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(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
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(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
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4
#s(literal 4 binary32)
(+ 4 (* -4 (/ (fabs x) s)))
(fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))
(fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))
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(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
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(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
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(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
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(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
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(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
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1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (fabs x) s)))
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(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s))
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(/ -1 s)
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(/ 1/4 s)
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(/ 1/4 s)
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(/ 1/4 s)
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(/ 1/4 s)
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(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))

rewrite154.0ms (1.7%)

Memory
-12.0MiB live, 306.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047253
074244
1228243
21286238
08460235
Stop Event
iter limit
node limit
iter limit
Counts
22 → 851
Calls
Call 1
Inputs
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))
(/.f32 #s(literal -1 binary32) s)
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))
#s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32))
(*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
(pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
Outputs
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eval237.0ms (2.6%)

Memory
5.7MiB live, 565.8MiB allocated
Compiler

Compiled 49 206 to 4 058 computations (91.8% saved)

prune68.0ms (0.8%)

Memory
-18.0MiB live, 194.9MiB allocated
Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New2 183152 198
Fresh3811
Picked235
Done022
Total2 188282 216
Accuracy
100.0%
Counts
2 216 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
96.0%
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
96.0%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
82.0%
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
78.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
83.6%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)) s))
99.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
97.2%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))) s))
80.1%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 4 binary32) (fabs.f32 x))) s))) s))
96.0%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
79.9%
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)) s))
54.8%
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
76.8%
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
97.2%
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))
99.1%
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
99.1%
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))))
97.2%
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
96.0%
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
29.6%
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
73.1%
(exp.f32 (*.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (log.f32 s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
95.1%
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
92.2%
(exp.f32 #s(approx (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1) (-.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))) (log.f32 #s(literal 4 binary32))) (log.f32 s))))
21.0%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
23.7%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
23.7%
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))))
78.2%
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
78.2%
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
23.6%
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) s)))
Compiler

Compiled 928 to 683 computations (26.4% saved)

simplify108.0ms (1.2%)

Memory
24.6MiB live, 141.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 (fabs.f32 x))
cost-diff0
(/.f32 (neg.f32 (fabs.f32 x)) s)
cost-diff0
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
cost-diff3488
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
cost-diff0
#s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s)))
cost-diff64
(-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s))
cost-diff64
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))
cost-diff352
(fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x)))
cost-diff0
(/.f32 (neg.f32 (fabs.f32 x)) s)
cost-diff0
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
cost-diff0
#s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32))
cost-diff0
(/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s)
cost-diff0
(neg.f32 s)
cost-diff0
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
cost-diff64
(/.f32 #s(literal -1 binary32) (neg.f32 s))
cost-diff192
(fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32))
cost-diff0
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32))
cost-diff0
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)
cost-diff64
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))))
cost-diff96
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057503
092454
1153450
2282449
3663443
41968443
55065438
08096432
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(literal 1 binary32)
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
#s(literal -2 binary32)
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
(fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 s))
#s(literal -1 binary32)
(neg.f32 s)
s
#s(literal 1/4 binary32)
#s(literal 0 binary32)
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s)
#s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
s
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s)))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))
(-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s))
#s(literal -1/4 binary32)
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)
(-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s))
(*.f32 #s(literal 1/4 binary32) (fabs.f32 x))
#s(literal 1/4 binary32)
(fabs.f32 x)
x
(/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)
(fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x)))
#s(literal 3/16 binary32)
(*.f32 x x)
(*.f32 #s(literal -1/4 binary32) (*.f32 x x))
s
(neg.f32 s)
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))
(fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
#s(literal 2 binary32)
Outputs
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))))
(/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)
(/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal -2 binary32)) s)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal -2 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
#s(literal -2 binary32)
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (/.f32 #s(literal 1/4 binary32) s))
(fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32))
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 #s(literal -1 binary32) (neg.f32 s))
(/.f32 #s(literal 1 binary32) s)
#s(literal -1 binary32)
(neg.f32 s)
s
#s(literal 1/4 binary32)
#s(literal 0 binary32)
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s)
#s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
s
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/16 binary32) s) x) x (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s) #s(literal -1/4 binary32)) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
#s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s)))
#s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/16 binary32) s) x) x (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s) #s(literal -1/4 binary32)) s))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))
(/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/16 binary32) s) x) x (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s) #s(literal -1/4 binary32)) s)
(-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s))
(-.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/16 binary32) s) x) x (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s))
#s(literal -1/4 binary32)
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)
(/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/16 binary32) s) x) x (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s)
(-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s))
(fma.f32 (*.f32 (/.f32 #s(literal 1/16 binary32) s) x) x (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)))
(*.f32 #s(literal 1/4 binary32) (fabs.f32 x))
#s(literal 1/4 binary32)
(fabs.f32 x)
x
(/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)
(/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)
(fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(*.f32 #s(literal -1/16 binary32) (*.f32 x x))
#s(literal 3/16 binary32)
(*.f32 x x)
(*.f32 #s(literal -1/4 binary32) (*.f32 x x))
(*.f32 (*.f32 x x) #s(literal -1/4 binary32))
s
(neg.f32 s)
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) s))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))
(*.f32 (fma.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) s)
(fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)
(fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
#s(literal 2 binary32)

localize135.0ms (1.5%)

Memory
-10.7MiB live, 260.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.03125
(*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))
accuracy0.13609860022195736
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
accuracy5.075377386745976
(fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)
accuracy18.926748225097644
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
accuracy0.2806188325719993
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
accuracy2.9376759254233926
(/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)
accuracy13.04364164509692
(fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x)))
accuracy22.172108244518085
#s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s)))
accuracy0.023073791389095776
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy0.03515625
(/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s)
accuracy0.2806188325719993
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
accuracy19.714399603200757
#s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32))
accuracy0
(/.f32 #s(literal -1 binary32) (neg.f32 s))
accuracy0
(neg.f32 s)
accuracy24.417333876353002
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
accuracy30.580294973834754
(fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32))
accuracy0.023073791389095776
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))
accuracy0.03515625
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)
accuracy0.2806188325719993
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))))
accuracy0.32705194063777426
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
Samples
93.0ms256×0valid
Compiler

Compiled 849 to 92 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-div: 19.0ms (26.2% of total)
ival-mult: 19.0ms (26.2% of total)
ival-fabs: 9.0ms (12.4% of total)
ival-add: 6.0ms (8.3% of total)
ival-exp: 6.0ms (8.3% of total)
ival-log: 3.0ms (4.1% of total)
ival-pow: 3.0ms (4.1% of total)
ival-sub: 2.0ms (2.8% of total)
ival-neg: 2.0ms (2.8% of total)
ival-pow2: 2.0ms (2.8% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series148.0ms (1.6%)

Memory
3.8MiB live, 118.3MiB allocated
Counts
25 → 540
Calls
Call 1
Inputs
#s(alt (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) (patch (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))) (patch (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))) #<representation binary32>) () ())
#s(alt (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (patch (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) #<representation binary32>) () ())
#s(alt (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (patch (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1 binary32) (neg.f32 s)) (patch (/.f32 #s(literal -1 binary32) (neg.f32 s)) #<representation binary32>) () ())
#s(alt #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32))) (patch #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32))) #<representation binary32>) () ())
#s(alt (neg.f32 s) (patch (neg.f32 s) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (patch (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) #<representation binary32>) () ())
#s(alt #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) (patch #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) (patch (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s)) (patch (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s)) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) (patch (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) #<representation binary32>) () ())
#s(alt #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))) (patch #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (neg.f32 (fabs.f32 x)) (patch (neg.f32 (fabs.f32 x)) #<representation binary32>) () ())
#s(alt (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (patch (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s) (patch (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (patch #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (patch (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (patch (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) #<representation binary32>) () ())
Outputs
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) (patch (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) (patch (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
72.0ms
x
@inf
((* (/ -1 s) (fabs x)) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (* (/ -1 s) (fabs x)))) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ (* (/ -1 (neg s)) 1/4) 0) (/ -1 (neg s)) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (neg s) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (+ (* 3/16 (* x x)) (* -1/4 (* x x))) (/ (- -1/4 (/ (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) s)) (neg s)) (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* s (exp (/ (neg (fabs x)) s))) s) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg (fabs x)) (exp (* (/ -1 s) (fabs x))) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* s (exp (/ (neg (fabs x)) s))) s) (* (+ (* s (exp (/ (neg (fabs x)) s))) s) (+ 1 (exp (/ (neg (fabs x)) s)))))
17.0ms
x
@-inf
((* (/ -1 s) (fabs x)) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (* (/ -1 s) (fabs x)))) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ (* (/ -1 (neg s)) 1/4) 0) (/ -1 (neg s)) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (neg s) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (+ (* 3/16 (* x x)) (* -1/4 (* x x))) (/ (- -1/4 (/ (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) s)) (neg s)) (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* s (exp (/ (neg (fabs x)) s))) s) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg (fabs x)) (exp (* (/ -1 s) (fabs x))) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* s (exp (/ (neg (fabs x)) s))) s) (* (+ (* s (exp (/ (neg (fabs x)) s))) s) (+ 1 (exp (/ (neg (fabs x)) s)))))
12.0ms
x
@0
((* (/ -1 s) (fabs x)) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (* (/ -1 s) (fabs x)))) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ (* (/ -1 (neg s)) 1/4) 0) (/ -1 (neg s)) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (neg s) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (+ (* 3/16 (* x x)) (* -1/4 (* x x))) (/ (- -1/4 (/ (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) s)) (neg s)) (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* s (exp (/ (neg (fabs x)) s))) s) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg (fabs x)) (exp (* (/ -1 s) (fabs x))) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* s (exp (/ (neg (fabs x)) s))) s) (* (+ (* s (exp (/ (neg (fabs x)) s))) s) (+ 1 (exp (/ (neg (fabs x)) s)))))
5.0ms
s
@0
((* (/ -1 s) (fabs x)) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (* (/ -1 s) (fabs x)))) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ (* (/ -1 (neg s)) 1/4) 0) (/ -1 (neg s)) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (neg s) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (+ (* 3/16 (* x x)) (* -1/4 (* x x))) (/ (- -1/4 (/ (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) s)) (neg s)) (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* s (exp (/ (neg (fabs x)) s))) s) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg (fabs x)) (exp (* (/ -1 s) (fabs x))) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* s (exp (/ (neg (fabs x)) s))) s) (* (+ (* s (exp (/ (neg (fabs x)) s))) s) (+ 1 (exp (/ (neg (fabs x)) s)))))
4.0ms
s
@-inf
((* (/ -1 s) (fabs x)) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (* (/ -1 s) (fabs x)))) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ (* (/ -1 (neg s)) 1/4) 0) (/ -1 (neg s)) (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (neg s) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (+ (* 3/16 (* x x)) (* -1/4 (* x x))) (/ (- -1/4 (/ (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) s)) (neg s)) (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* s (exp (/ (neg (fabs x)) s))) s) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg (fabs x)) (exp (* (/ -1 s) (fabs x))) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s) (* (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* s (exp (/ (neg (fabs x)) s))) s) (* (+ (* s (exp (/ (neg (fabs x)) s))) s) (+ 1 (exp (/ (neg (fabs x)) s)))))

simplify232.0ms (2.6%)

Memory
-12.1MiB live, 151.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05019055
115958049
260817338
084417143
Stop Event
iter limit
node limit
Counts
540 → 540
Calls
Call 1
Inputs
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) (pow s 3)))
(/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2)))) (* 1/4 (* s (fabs x)))) (pow s 3))
(/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2)))) (* s (+ (* 1/4 s) (* 1/4 (fabs x))))) (pow s 3))
(/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2)))) (* s (+ (* 1/4 s) (* 1/4 (fabs x))))) (pow s 3))
(* -1 (/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s))
(/ (- (* 1/4 (* s (fabs x))) (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2)))) s)
(/ (- (* 1/4 (* s (fabs x))) (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2)))) s)
(/ (- (* 1/4 (* s (fabs x))) (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2)))) s)
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)
(/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)
(/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)
(/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
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(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/ 1/4 s)
(/ (+ 1/4 (* 1/4 (/ (fabs x) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
1/4
(+ 1/4 (* 1/4 (/ (fabs x) s)))
(- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s)))
(- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))))
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(exp (* -1 (+ (log 4) (* -1 (log (/ 1 s))))))
(+ (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (* -1 (/ (* (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (fabs x) (* -1 (fabs x)))) s)))
(+ (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1 (/ (* (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (fabs x) (* -1 (fabs x)))) s)) (/ (* (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1/2 (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2)))) (pow s 2))))
(+ (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1 (/ (* (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (fabs x) (* -1 (fabs x)))) s)) (+ (/ (* (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1/2 (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2)))) (pow s 2)) (/ (* (exp (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))) (+ (* -1/6 (+ (* -2 (pow (fabs x) 3)) (+ (* 3/2 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 3/2 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (+ (* -1/6 (pow (+ (fabs x) (* -1 (fabs x))) 3)) (* 1/2 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))))) (pow s 3)))))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(/ 1/4 s)
(/ (+ 1/4 (* 1/4 (/ (fabs x) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
1/4
(+ 1/4 (* 1/4 (/ (fabs x) s)))
(- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s)))
(- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ 1/4 s)
(/ (+ 1/4 (* 1/4 (/ (fabs x) s))) s)
(/ (+ 1/4 (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) (pow s 2))) (* 1/4 (/ (fabs x) s)))) s)
(/ (+ 1/4 (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) (pow s 2))) (* 1/4 (/ (fabs x) s)))) s)
(* 1/4 (fabs x))
(+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)) (* 1/4 (fabs x)))
(+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)) (* 1/4 (fabs x)))
(+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)) (* 1/4 (fabs x)))
(/ 1/4 s)
(/ (+ 1/4 (* 1/4 (/ (fabs x) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)
(/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)
(/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)
(/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* 2 s)
(* s (+ 2 (* -1 (/ (fabs x) s))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(/ 1/4 s)
(* -1 (/ (- (* -1/4 (/ (fabs x) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 1/4 (fabs x))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (+ (* -1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))))) s)) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)) 1/4) s))
1/4
(+ 1/4 (* 1/4 (/ (fabs x) s)))
(+ 1/4 (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs x) 2) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s))) (* 1/4 (fabs x))) s)))
(+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (+ (* -1/16 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)))
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(exp (* -1 (+ (log -4) (* -1 (log (/ -1 s))))))
(+ (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (/ (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (fabs x) (* -1 (fabs x)))) s))
(+ (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (fabs x) (* -1 (fabs x))))) (* -1 (/ (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* -1/2 (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2)))) s))) s)))
(+ (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (fabs x) (* -1 (fabs x))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* -1/6 (+ (* -3/2 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 3/2 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* 2 (pow (fabs x) 3))))) (+ (* -1/6 (pow (+ (fabs x) (* -1 (fabs x))) 3)) (* 1/2 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))))) s)) (* (exp (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))) (+ (* -1/2 (+ (* -1 (pow (fabs x) 2)) (* 1/2 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))))) s))) s)))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(/ 1/4 s)
(* -1 (/ (- (* -1/4 (/ (fabs x) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 1/4 (fabs x))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (+ (* -1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))))) s)) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)) 1/4) s))
1/4
(+ 1/4 (* 1/4 (/ (fabs x) s)))
(+ 1/4 (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs x) 2) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s))) (* 1/4 (fabs x))) s)))
(+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (+ (* -1/16 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ 1/4 s)
(* -1 (/ (- (* -1/4 (/ (fabs x) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)) (* 1/4 (fabs x))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)) (* 1/4 (fabs x))) s)) 1/4) s))
(* 1/4 (fabs x))
(+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)) (* 1/4 (fabs x)))
(+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)) (* 1/4 (fabs x)))
(+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)) (* 1/4 (fabs x)))
(/ 1/4 s)
(* -1 (/ (- (* -1/4 (/ (fabs x) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 1/4 (fabs x))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (+ (* -1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))))) s)) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s)) 1/4) s))
(/ 1/4 s)
(* -1 (/ (- (* -1/8 (/ (pow (fabs x) 2) (pow s 2))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/8 (/ (pow (fabs x) 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/96 (pow (fabs x) 4)) (+ (* -1/4 (* (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))))))) (+ (* 1/16 (+ (* -1/3 (pow (fabs x) 4)) (+ (* -1/4 (pow (fabs x) 4)) (* -1/6 (pow (fabs x) 4))))) (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))))))) s)) (* -1/24 (pow (fabs x) 3))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (- (* -1/8 (pow (fabs x) 2)) (* 1/16 (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2)))))))) (pow s 3))) (* -1/8 (/ (pow (fabs x) 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) (pow s 2))))) s))
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)
(/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)
(/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)
(/ (+ (* -1/4 (pow x 2)) (* 3/16 (pow x 2))) s)
(/ 1/4 s)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
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(* 2 s)
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(* 4 s)
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
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(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (+ (* -1 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) s)) (* -1 (pow (fabs x) 2)))) s))) s)) 4)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(/ (+ 1/4 (* 1/4 (/ (fabs x) s))) s)
(+ (* 1/16 (/ (pow x 2) (pow s 3))) (+ (* 1/4 (/ (fabs x) (pow s 2))) (* 1/4 (/ 1 s))))
(+ (* 1/16 (/ (pow x 2) (pow s 3))) (+ (* 1/4 (/ (fabs x) (pow s 2))) (* 1/4 (/ 1 s))))
(+ (* 1/16 (/ (pow x 2) (pow s 3))) (+ (* 1/4 (/ (fabs x) (pow s 2))) (* 1/4 (/ 1 s))))
(* 1/4 (fabs x))
(+ (* 1/16 (/ (pow x 2) s)) (* 1/4 (fabs x)))
(+ (* 1/16 (/ (pow x 2) s)) (* 1/4 (fabs x)))
(+ (* 1/16 (/ (pow x 2) s)) (* 1/4 (fabs x)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
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(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* -1/16 (/ (pow x 2) s))
(* -1/16 (/ (pow x 2) s))
(* -1/16 (/ (pow x 2) s))
(* -1/16 (/ (pow x 2) s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
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(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* 1/16 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (* (pow s 2) (pow x 2)))) (+ (/ 1/4 (* s (pow x 2))) (* 1/16 (/ 1 (pow s 3))))))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (* (pow s 2) (pow x 2)))) (+ (/ 1/4 (* s (pow x 2))) (* 1/16 (/ 1 (pow s 3))))))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (* (pow s 2) (pow x 2)))) (+ (/ 1/4 (* s (pow x 2))) (* 1/16 (/ 1 (pow s 3))))))
(* 1/16 (/ (pow x 2) s))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (pow x 2))) (* 1/16 (/ 1 s))))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (pow x 2))) (* 1/16 (/ 1 s))))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (pow x 2))) (* 1/16 (/ 1 s))))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* -1/16 (/ (pow x 2) s))
(* -1/16 (/ (pow x 2) s))
(* -1/16 (/ (pow x 2) s))
(* -1/16 (/ (pow x 2) s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* 1/16 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (* (pow s 2) (pow x 2)))) (+ (/ 1/4 (* s (pow x 2))) (* 1/16 (/ 1 (pow s 3))))))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (* (pow s 2) (pow x 2)))) (+ (/ 1/4 (* s (pow x 2))) (* 1/16 (/ 1 (pow s 3))))))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (* (pow s 2) (pow x 2)))) (+ (/ 1/4 (* s (pow x 2))) (* 1/16 (/ 1 (pow s 3))))))
(* 1/16 (/ (pow x 2) s))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (pow x 2))) (* 1/16 (/ 1 s))))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (pow x 2))) (* 1/16 (/ 1 s))))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (pow x 2))) (* 1/16 (/ 1 s))))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* -1/16 (/ (pow x 2) s))
(* -1/16 (/ (pow x 2) s))
(* -1/16 (/ (pow x 2) s))
(* -1/16 (/ (pow x 2) s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
Outputs
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
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1/4
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(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) #s(literal -1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) #s(literal -1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) #s(literal -1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (+ (log (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (/ (fabs x) s))))
(/.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) #s(literal -1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1/16 (pow x 2))
(*.f32 #s(literal -1/16 binary32) (*.f32 x x))
(* -1/16 (pow x 2))
(*.f32 #s(literal -1/16 binary32) (*.f32 x x))
(* -1/16 (pow x 2))
(*.f32 #s(literal -1/16 binary32) (*.f32 x x))
(* -1/16 (pow x 2))
(*.f32 #s(literal -1/16 binary32) (*.f32 x x))
(* 1/16 (/ (pow x 2) (pow s 3)))
(/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal 3 binary32)))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (* (pow s 2) (pow x 2)))) (+ (/ 1/4 (* s (pow x 2))) (* 1/16 (/ 1 (pow s 3))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 (/.f32 (fabs.f32 x) s) s) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s)))) (*.f32 x x))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (* (pow s 2) (pow x 2)))) (+ (/ 1/4 (* s (pow x 2))) (* 1/16 (/ 1 (pow s 3))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 (/.f32 (fabs.f32 x) s) s) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s)))) (*.f32 x x))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (* (pow s 2) (pow x 2)))) (+ (/ 1/4 (* s (pow x 2))) (* 1/16 (/ 1 (pow s 3))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 (/.f32 (fabs.f32 x) s) s) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s)))) (*.f32 x x))
(* 1/16 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s)
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (pow x 2))) (* 1/16 (/ 1 s))))
(*.f32 (fma.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (pow x 2))) (* 1/16 (/ 1 s))))
(*.f32 (fma.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))
(* (pow x 2) (+ (* 1/4 (/ (fabs x) (pow x 2))) (* 1/16 (/ 1 s))))
(*.f32 (fma.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/16 binary32) s)) (*.f32 x x))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s)))))))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(* -1/16 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)
(* -1/16 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)
(* -1/16 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)
(* -1/16 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(+ s (* s (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ (fabs x) s))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)

rewrite264.0ms (2.9%)

Memory
35.0MiB live, 185.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057368
092329
1309322
22156321
08374313
Stop Event
iter limit
node limit
iter limit
Counts
25 → 699
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
(neg.f32 s)
(/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s)
#s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))
(-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s))
#s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(neg.f32 (fabs.f32 x))
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
(fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)
(*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))
Outputs
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eval252.0ms (2.8%)

Memory
-17.6MiB live, 216.1MiB allocated
Compiler

Compiled 47 978 to 4 317 computations (91% saved)

prune125.0ms (1.4%)

Memory
25.7MiB live, 104.6MiB allocated
Pruning

27 alts after pruning (18 fresh and 9 done)

PrunedKeptTotal
New1 84351 848
Fresh51318
Picked145
Done055
Total1 849271 876
Accuracy
100.0%
Counts
1 876 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
96.0%
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
96.0%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
82.0%
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
82.0%
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
78.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
83.6%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)) s))
99.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
96.0%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
79.7%
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)) s))
54.8%
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
76.8%
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
99.1%
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
99.1%
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))))
97.2%
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
96.0%
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
29.4%
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (*.f32 x (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 3/16 binary32) x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
44.7%
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 #s(approx (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
95.1%
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
22.9%
(exp.f32 (neg.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32) (+.f32 (log.f32 s) (/.f32 (fabs.f32 x) s)))))
92.2%
(exp.f32 #s(approx (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1) (-.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))) (log.f32 #s(literal 4 binary32))) (log.f32 s))))
21.0%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
23.7%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
44.6%
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
78.2%
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
39.3%
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
23.6%
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) s)))
Compiler

Compiled 1 388 to 570 computations (58.9% saved)

regimes429.0ms (4.7%)

Memory
-1.6MiB live, 87.2MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))))
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 #s(approx (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 4 binary32) (fabs.f32 x))) s))) s))
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (*.f32 x (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 3/16 binary32) x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp.f32 (*.f32 (log.f32 (*.f32 s #s(literal 4 binary32))) #s(literal -1 binary32))))
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32)))))
(exp.f32 #s(approx (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1) (-.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))) (log.f32 #s(literal 4 binary32))) (log.f32 s))))
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(exp.f32 (neg.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32) (+.f32 (log.f32 s) (/.f32 (fabs.f32 x) s)))))
(exp.f32 (*.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (log.f32 s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) s)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
Calls

5 calls:

219.0ms
(neg.f32 (fabs.f32 x))
173.0ms
(fabs.f32 x)
13.0ms
s
13.0ms
x
10.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1s
99.5%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
99.5%1(neg.f32 (fabs.f32 x))
99.5%1(fabs.f32 x)
Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes159.0ms (1.8%)

Memory
-15.2MiB live, 62.4MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))))
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 #s(approx (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 4 binary32) (fabs.f32 x))) s))) s))
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (*.f32 x (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 3/16 binary32) x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp.f32 (*.f32 (log.f32 (*.f32 s #s(literal 4 binary32))) #s(literal -1 binary32))))
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32)))))
(exp.f32 #s(approx (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1) (-.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))) (log.f32 #s(literal 4 binary32))) (log.f32 s))))
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
Outputs
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
Calls

5 calls:

119.0ms
(fabs.f32 x)
11.0ms
x
10.0ms
s
10.0ms
(neg.f32 (fabs.f32 x))
7.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
99.1%1x
99.1%1s
99.1%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
99.1%1(neg.f32 (fabs.f32 x))
99.1%1(fabs.f32 x)
Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes350.0ms (3.9%)

Memory
12.4MiB live, 91.4MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))))
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 #s(approx (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 4 binary32) (fabs.f32 x))) s))) s))
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (*.f32 x (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 3/16 binary32) x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp.f32 (*.f32 (log.f32 (*.f32 s #s(literal 4 binary32))) #s(literal -1 binary32))))
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32)))))
(exp.f32 #s(approx (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1) (-.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))) (log.f32 #s(literal 4 binary32))) (log.f32 s))))
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s)
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32)))))
Calls

5 calls:

170.0ms
(neg.f32 (fabs.f32 x))
152.0ms
s
10.0ms
(fabs.f32 x)
9.0ms
x
7.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
97.8%1x
97.8%1s
97.8%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
97.8%1(neg.f32 (fabs.f32 x))
97.8%1(fabs.f32 x)
Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes47.0ms (0.5%)

Memory
-8.7MiB live, 29.6MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))))
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 #s(approx (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 4 binary32) (fabs.f32 x))) s))) s))
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (*.f32 x (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 3/16 binary32) x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp.f32 (*.f32 (log.f32 (*.f32 s #s(literal 4 binary32))) #s(literal -1 binary32))))
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (*.f32 x x) s) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)) s))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))) s))
Calls

5 calls:

13.0ms
(neg.f32 (fabs.f32 x))
9.0ms
s
8.0ms
x
8.0ms
(fabs.f32 x)
7.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
97.2%1x
97.2%1s
97.2%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
97.2%1(neg.f32 (fabs.f32 x))
97.2%1(fabs.f32 x)
Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes39.0ms (0.4%)

Memory
-19.6MiB live, 19.7MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))))
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s))
(*.f32 #s(approx (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s) (/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 #s(approx (- (* 1/4 (fabs x)) (/ (+ (* 3/16 (* x x)) (* -1/4 (* x x))) s)) (*.f32 #s(literal 1/4 binary32) (fabs.f32 x))) s)) (neg.f32 s))) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
Outputs
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
Calls

5 calls:

5.0ms
(fabs.f32 x)
5.0ms
s
5.0ms
(neg.f32 (fabs.f32 x))
5.0ms
x
4.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
96.0%1x
96.0%1s
96.0%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
96.0%1(neg.f32 (fabs.f32 x))
96.0%1(fabs.f32 x)
Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))))
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
Calls

5 calls:

4.0ms
(fabs.f32 x)
4.0ms
s
4.0ms
(neg.f32 (fabs.f32 x))
4.0ms
x
3.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
96.0%1x
96.0%1s
96.0%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
96.0%1(neg.f32 (fabs.f32 x))
96.0%1(fabs.f32 x)
Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes39.0ms (0.4%)

Memory
-4.0MiB live, 34.6MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))))
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
Calls

5 calls:

23.0ms
x
4.0ms
s
4.0ms
(fabs.f32 x)
4.0ms
(neg.f32 (fabs.f32 x))
3.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
96.0%1x
96.0%1s
96.0%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
96.0%1(neg.f32 (fabs.f32 x))
96.0%1(fabs.f32 x)
Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes53.0ms (0.6%)

Memory
-0.5MiB live, 40.5MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))))
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
Outputs
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
Calls

5 calls:

4.0ms
(neg.f32 (fabs.f32 x))
4.0ms
(fabs.f32 x)
4.0ms
s
4.0ms
x
3.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
96.0%1x
96.0%1s
96.0%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
96.0%1(neg.f32 (fabs.f32 x))
96.0%1(fabs.f32 x)
Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory
-8.5MiB live, 30.8MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s) (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
Calls

5 calls:

4.0ms
x
3.0ms
(fabs.f32 x)
3.0ms
(neg.f32 (fabs.f32 x))
3.0ms
s
3.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
76.8%1x
76.8%1s
76.8%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
76.8%1(neg.f32 (fabs.f32 x))
76.8%1(fabs.f32 x)
Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory
29.1MiB live, 29.1MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s))
Outputs
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s))
Calls

5 calls:

3.0ms
(neg.f32 (fabs.f32 x))
3.0ms
(fabs.f32 x)
3.0ms
s
3.0ms
x
2.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
72.8%2(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
66.5%2(neg.f32 (fabs.f32 x))
66.5%2x
66.5%2(fabs.f32 x)
53.8%1s
Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes3.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) s)) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)) (*.f32 (/.f32 #s(literal 1/4 binary32) s) s)))
Outputs
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
Calls

1 calls:

2.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
72.1%2(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes8.0ms (0.1%)

Memory
-24.1MiB live, 14.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

2.0ms
(neg.f32 (fabs.f32 x))
1.0ms
(fabs.f32 x)
1.0ms
x
1.0ms
s
1.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Results
AccuracySegmentsBranch
23.7%1s
23.7%1x
23.7%1(fabs.f32 x)
23.7%1(neg.f32 (fabs.f32 x))
23.7%1(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.261652410030365
Compiler

Compiled 29 to 16 computations (44.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.261652410030365
Compiler

Compiled 29 to 16 computations (44.8% saved)

simplify58.0ms (0.6%)

Memory
11.4MiB live, 49.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093431
1160429
2277426
3513426
4910426
52184426
65906426
Stop Event
node limit
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))) s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 0 binary32)) #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)))
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 0 binary32)) #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s))
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))) s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))) s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32))) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(*.f32 (/.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) s) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (neg.f32 (*.f32 x x)) s) s))) s))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (exp (/ (fabs x) s))) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s))
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 0 binary32)) #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)))
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 0 binary32)) #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)))
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 0 binary32)) #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)))
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 0 binary32)) #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) #s(literal 0 binary32))) #s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (exp (* (+ (log (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/ (fabs x) s)) -1)) (/.f32 #s(literal 1/4 binary32) s))

soundness1.3s (14%)

Memory
3.3MiB live, 1 051.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05127977
116387094
261206463
088016327
02302016
17011879
223151724
083771675
036271
059262
1169261
2953254
08824245
01174
01974
17460
247359
3532559
0825559
047253
074244
1228243
21286238
08460235
03787536
112006809
244036338
089416198
Stop Event
fuel
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
iter limit
node limit
Compiler

Compiled 733 to 306 computations (58.3% saved)

preprocess116.0ms (1.3%)

Memory
-18.4MiB live, 139.1MiB allocated
Remove

(abs x)

Compiler

Compiled 740 to 286 computations (61.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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