Logistic distribution

Time bar (total: 12.9s)

analyze46.0ms (0.4%)

Memory
-1.8MiB live, 75.3MiB 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)

sample1.2s (9.4%)

Memory
55.9MiB live, 2 298.0MiB allocated
Samples
901.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 715.0ms
ival-div: 122.0ms (17.1% of total)
const: 122.0ms (17.1% of total)
ival-exp: 120.0ms (16.8% of total)
ival-mult: 98.0ms (13.7% of total)
ival-fabs: 78.0ms (10.9% of total)
ival-<=: 67.0ms (9.4% of total)
ival-add: 52.0ms (7.3% of total)
ival-neg: 31.0ms (4.3% of total)
exact: 12.0ms (1.7% of total)
ival-and: 11.0ms (1.5% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess407.0ms (3.2%)

Memory
-54.9MiB live, 458.0MiB allocated
Algorithm
egg-herbie
Rules
10 930×lower-fma.f64
10 930×lower-fma.f32
3 522×lower-*.f64
3 518×lower-*.f32
1 474×lower-/.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
031140
1123128
2442123
31364121
43823121
56461121
01126
01926
14526
211425
322825
438225
567419
6125118
7251118
8466118
0821118
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 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
Symmetry

(abs x)

explain134.0ms (1%)

Memory
18.1MiB live, 292.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
00-0-#s(literal 1 binary32)
00-0-(/.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)))))
02(7.613930997611666e-28 2.5962182642430632e-30)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))sensitivity20
Confusion
Predicted +Predicted -
+00
-2254
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-20254
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
42.0ms512×0valid
Compiler

Compiled 224 to 48 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 7.0ms (26.3% of total)
ival-mult: 6.0ms (22.5% of total)
ival-exp: 5.0ms (18.8% of total)
ival-add: 3.0ms (11.3% of total)
ival-fabs: 3.0ms (11.3% of total)
ival-neg: 2.0ms (7.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.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 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Compiler

Compiled 28 to 11 computations (60.7% saved)

simplify322.0ms (2.5%)

Memory
-6.8MiB live, 552.6MiB 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-diff3840
(/.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)))))
Rules
10 930×lower-fma.f64
10 930×lower-fma.f32
3 522×lower-*.f64
3 518×lower-*.f32
1 474×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01182
01982
14582
211479
322879
438279
567473
6125172
7251172
8466172
0821171
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 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(/.f32 (fabs.f32 x) (neg.f32 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 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 2 binary32)) s)
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
#s(literal 1 binary32)

localize34.0ms (0.3%)

Memory
4.4MiB live, 81.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.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)))))
accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
accuracy99.9%
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
accuracy99.9%
(*.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
21.0ms256×0valid
Compiler

Compiled 84 to 13 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 3.0ms (24.6% of total)
ival-mult: 3.0ms (24.6% of total)
ival-exp: 2.0ms (16.4% of total)
ival-add: 1.0ms (8.2% of total)
ival-fabs: 1.0ms (8.2% of total)
ival-neg: 1.0ms (8.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
-24.5MiB live, 63.8MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#<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)))))>
#<alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))>
#<alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))>
#<alt (/.f32 (neg.f32 (fabs.f32 x)) 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))))>
#<alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))>
Outputs
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ 1/4 s)>
#<alt (/ (- (+ 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)>
#<alt (/ (- (+ 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)>
#<alt (/ (- (+ 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)>
#<alt (/ 1/4 s)>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* 2 s)>
#<alt (* s (+ 2 (* -1 (/ (fabs x) s))))>
#<alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))>
#<alt (* 2 s)>
#<alt (* -1 (* s (- (/ (fabs x) s) 2)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* 4 s)>
#<alt (* s (+ 4 (* -4 (/ (fabs x) s))))>
#<alt (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (* 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))))))))>
#<alt (* 4 s)>
#<alt (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))>
#<alt (* -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)))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (fabs x) s)))>
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (fabs x) s)))>
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
Calls

36 calls:

TimeVariablePointExpression
16.0ms
s
@0
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
8.0ms
x
@-inf
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
3.0ms
s
@-inf
(/ (exp (/ (neg (fabs x)) s)) (* (* 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)))))
2.0ms
x
@inf
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))

simplify581.0ms (4.5%)

Memory
59.1MiB live, 1 189.0MiB allocated
Algorithm
egg-herbie
Rules
26 522×lower-fma.f64
26 522×lower-fma.f32
5 264×lower-+.f64
5 264×lower-+.f32
5 254×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02302020
17011883
222991718
090661661
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)))
(/ (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)))
(/ (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 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))
(* 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)))))
(* 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)))))))
(* 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)))
(* 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 (+ 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 (+ 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)))
(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)))
(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)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) 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
(+ 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 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -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))
(* 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))))))))
(* 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)))
(* 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))
(* 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))
(* 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 (exp (* -1 (/ (fabs x) s))))
(+ 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 (exp (* -1 (/ (fabs x) s))))
(+ 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 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) 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
(+ 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)))
Outputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
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(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
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 #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) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(fma.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) 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 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) (fabs.f32 x)) s))

rewrite333.0ms (2.6%)

Memory
-32.9MiB live, 790.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 988×lower-*.f64
4 984×lower-*.f32
3 732×lower-fma.f64
3 732×lower-fma.f32
2 684×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01174
01974
17460
247359
3527758
0822958
Stop Event
iter limit
node limit
iter limit
Counts
6 → 607
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
(neg.f32 (*.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s)))
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(exp.f32 (*.f32 (+.f32 (/.f32 (fabs.f32 x) s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1 binary32)))
(+.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) #s(literal 1 binary32)) (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(+.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) #s(literal 1 binary32)) (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))))
(+.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))) (*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))) (*.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))))
(pow.f32 (/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s) #s(literal 1 binary32))
(pow.f32 (*.f32 s (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) (*.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))))
(fma.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)))))
(fma.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))) (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(/.f32 (/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s) #s(literal 1 binary32))
(/.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 (neg.f32 s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))))
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(fma.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) s) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) (/.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 #s(literal -1 binary32) (neg.f32 s) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) s) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32) (+.f32 s (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))))
(fma.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32) (fma.f32 s (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(fma.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(fma.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 1 binary32) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(fma.f32 (fma.f32 s (*.f32 s s) (*.f32 (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s) (*.f32 s s))) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (-.f32 (*.f32 s s) (*.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))) (*.f32 s s))) (/.f32 #s(literal 1 binary32) (-.f32 s (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) s (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(fma.f32 (*.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (*.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(fma.f32 (*.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(fma.f32 (/.f32 (*.f32 s (-.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 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (/.f32 (*.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (/.f32 (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)))) (fma.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(fma.f32 (/.f32 (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (/.f32 (pow.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 2 binary32)) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32))) (+.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 3 binary32)) (pow.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))))))
(/.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (neg.f32 s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -1 binary32))
(/.f32 (+.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 3 binary32)) (pow.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 3 binary32))) (fma.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 3 binary32)) (pow.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)) (*.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (+.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 3 binary32)) (pow.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 3 binary32))) (*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (-.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)))))
(/.f32 (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (*.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (*.f32 s (-.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 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(/.f32 (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))) s)) (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
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(*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32)))
(*.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 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))))) #s(literal 1 binary32)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)))) #s(literal 1 binary32)) (pow.f32 (fma.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32)))
(*.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 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))))) #s(literal 1 binary32)) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)))

eval121.0ms (0.9%)

Memory
14.4MiB live, 361.7MiB allocated
Compiler

Compiled 45 541 to 3 352 computations (92.6% saved)

prune164.0ms (1.3%)

Memory
-27.0MiB live, 418.8MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New1 254171 271
Fresh000
Picked101
Done000
Total1 255171 272
Accuracy
100.0%
Counts
1 272 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (neg.f32 (/.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)))))
99.8%
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.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)))))
99.8%
(/.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))))
99.8%
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
99.8%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
99.7%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
96.8%
(/.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 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
71.9%
(/.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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) (fabs.f32 x)) s)))))
95.4%
(/.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))))
95.1%
(/.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 #s(literal 4 binary32))))
99.8%
(/.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)))))
99.8%
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))))
99.8%
(/.f32 #s(literal -1 binary32) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (neg.f32 s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
99.7%
(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
21.4%
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
27.3%
#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 800 to 452 computations (43.5% saved)

simplify335.0ms (2.6%)

Memory
38.5MiB live, 669.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))
cost-diff64
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
cost-diff96
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
cost-diff3840
(/.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)))))
cost-diff0
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
cost-diff0
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
cost-diff0
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
cost-diff64
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) 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-diff3744
(/.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 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
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-diff3840
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Rules
9 178×lower-fma.f64
9 176×lower-fma.f32
4 042×lower-*.f64
4 032×lower-*.f32
1 988×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042426
071416
1140416
2228414
3441414
4842414
51676388
62513388
73672388
85421388
08136385
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s 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 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s)
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.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 (/ (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))) (-.f32 #s(literal 2 binary32) (/.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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.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)
#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 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(fabs.f32 x)
x
s
#s(literal 1 binary32)
#s(literal -2 binary32)
(/.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 (*.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 (*.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)
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (/.f32 (fabs.f32 x) s))
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(fma.f32 s (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
(fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s)
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
#s(literal 1 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))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (/.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))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))
(*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
#s(literal 1 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 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)))
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(fabs.f32 x)
x
s
#s(literal 1 binary32)
#s(literal -2 binary32)
(/.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)))))
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
s
(fabs.f32 x)
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))))
(fma.f32 s (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) s)
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
#s(literal 1 binary32)
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (/.f32 (fabs.f32 x) s))
(neg.f32 (fabs.f32 x))

localize174.0ms (1.4%)

Memory
1.0MiB live, 355.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
accuracy99.9%
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
accuracy99.9%
(*.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))))
accuracy99.5%
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
accuracy99.9%
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
accuracy99.9%
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
accuracy99.9%
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
accuracy99.9%
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
accuracy99.9%
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
accuracy99.9%
(*.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 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))
accuracy25.1%
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
accuracy100.0%
(/.f32 #s(literal 1/4 binary32) s)
accuracy27.3%
#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))
accuracy99.9%
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy99.9%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
accuracy99.9%
(*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
Samples
109.0ms256×0valid
Compiler

Compiled 406 to 34 computations (91.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-add: 47.0ms (53.2% of total)
ival-div: 19.0ms (21.5% of total)
ival-mult: 8.0ms (9% of total)
ival-exp: 6.0ms (6.8% of total)
ival-pow: 3.0ms (3.4% of total)
ival-fabs: 2.0ms (2.3% of total)
ival-neg: 2.0ms (2.3% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series49.0ms (0.4%)

Memory
-8.8MiB live, 44.7MiB allocated
Counts
21 → 480
Calls
Call 1
Inputs
#<alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))>
#<alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))>
#<alt (/.f32 (neg.f32 (fabs.f32 x)) s)>
#<alt (neg.f32 (fabs.f32 x))>
#<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))>
#<alt (/.f32 #s(literal 1/4 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))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))>
#<alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))>
#<alt (/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)>
#<alt (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))>
#<alt (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))>
#<alt (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))>
#<alt (/.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)))))>
#<alt (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))>
#<alt (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))>
#<alt (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))>
#<alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))>
#<alt (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))>
#<alt #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 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))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) 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))))>
Outputs
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s)))))))>
#<alt (/ 1/4 s)>
#<alt (/ (- (+ 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)>
#<alt (/ (- (+ 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)>
#<alt (/ (- (+ 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)>
#<alt (/ 1/4 s)>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))>
#<alt (/ 1/4 s)>
#<alt (/ (- (+ 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)>
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#<alt (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (* 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))))))))>
#<alt (* 4 s)>
#<alt (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))>
#<alt (* -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)))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))>
Calls

120 calls:

TimeVariablePointExpression
20.0ms
s
@-inf
(/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (neg (/ (fabs x) s))) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))))
2.0ms
x
@0
(/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (neg (/ (fabs x) s))) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))))
1.0ms
x
@inf
(/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (neg (/ (fabs x) s))) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))))
1.0ms
x
@-inf
(/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (neg (/ (fabs x) s))) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))))
1.0ms
s
@0
(/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (neg (/ (fabs x) s))) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))))

simplify406.0ms (3.2%)

Memory
15.5MiB live, 721.9MiB allocated
Algorithm
egg-herbie
Rules
12 276×lower-fma.f64
12 276×lower-fma.f32
4 568×lower-*.f64
4 568×lower-*.f32
3 246×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03819230
112137571
241096786
084776626
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s)))))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (neg (/ (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)
(/ 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))
(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)))
(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)))
(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)))
(exp (* -1 (/ (fabs x) 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
(+ 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 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -1 (/ (fabs x) s))
(* -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))
(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
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(* -1 (fabs x))
(* -1 (fabs x))
(* -1 (fabs x))
(/ (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)))
(/ (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)))
(/ 1/4 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))
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 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)))
(/ (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)))
(/ (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 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))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
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(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)))
(exp (* -1 (/ (fabs x) s)))
(exp (* -1 (/ (fabs x) s)))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -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))))))))
(* 4 s)
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) s))) s)) 4)))
(* -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 (exp (* -1 (/ (fabs x) s))))
(+ 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 (exp (* -1 (/ (fabs x) s))))
(+ 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 (exp (* -1 (/ (fabs x) s))))
(+ 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 (exp (* -1 (/ (fabs x) 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
(+ 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 (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) 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
(+ 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 (exp (* -1 (/ (fabs x) s))))
(+ 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 (exp (* -1 (/ (fabs x) s))))
(+ 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 (exp (* -1 (/ (fabs x) s))))
(+ 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 (exp (* -1 (/ (fabs x) 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
(+ 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)))
(* 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))
(* 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))))))))
(* 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)))
(* 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))
(* 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))
(* 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))
(* 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))
(* 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))))))))
(* 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)))
(* 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))
(* 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))
(* 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))
Outputs
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s)))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ 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 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) 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 (-.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s)))) #s(literal 1/4 binary32))) (+.f32 (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal 3/16 binary32)) (*.f32 s s))) (/.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -5/48 binary32)) (*.f32 s (*.f32 s s))))) 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 (+.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s)))) #s(literal 1/4 binary32))) (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) (pow.f32 s #s(literal 4 binary32))) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s (*.f32 s s))) (fma.f32 #s(literal 1/16 binary32) (fma.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -5/3 binary32) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) (pow.f32 s #s(literal 4 binary32)))) (fma.f32 (*.f32 #s(literal 3/4 binary32) (*.f32 x x)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (pow.f32 s #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 x x) #s(literal 3/16 binary32)) (*.f32 s s))))))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) 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))
(/.f32 (+.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 s s)) #s(literal -1/4 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal 3/16 binary32)) (*.f32 s s))) (neg.f32 s))
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(+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) s) (neg.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))))))
(+.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s)))) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) s) (neg.f32 (fabs.f32 x))) 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 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) 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 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) s) (neg.f32 (fabs.f32 x))) s))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s)))) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) s) (neg.f32 (fabs.f32 x))) 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 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
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 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) s) (neg.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))))))
(+.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s)))) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) s) (neg.f32 (fabs.f32 x))) 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 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* 4 s)
(*.f32 s #s(literal 4 binary32))
(* s (+ 4 (* -4 (/ (fabs x) s))))
(*.f32 s (fma.f32 (fabs.f32 x) (/.f32 #s(literal -4 binary32) s) #s(literal 4 binary32)))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(*.f32 s (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 3 binary32) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -4 binary32) s) #s(literal 4 binary32))))
(* 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 s (+.f32 #s(literal 4 binary32) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -4 binary32) s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 3 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -5/3 binary32))) (*.f32 s (*.f32 s s)))))))
(* 4 s)
(*.f32 s #s(literal 4 binary32))
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(neg.f32 (*.f32 s (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32) #s(literal -4 binary32))))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(*.f32 (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 3 binary32)) s)) s)) (neg.f32 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 (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -4 binary32) (/.f32 (fma.f32 (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) #s(literal 5/3 binary32) (*.f32 (*.f32 x x) #s(literal -3 binary32))) (neg.f32 s))) s)) (neg.f32 s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* 4 s)
(*.f32 s #s(literal 4 binary32))
(* s (+ 4 (* -4 (/ (fabs x) s))))
(*.f32 s (fma.f32 (fabs.f32 x) (/.f32 #s(literal -4 binary32) s) #s(literal 4 binary32)))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(*.f32 s (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 3 binary32) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -4 binary32) s) #s(literal 4 binary32))))
(* 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 s (+.f32 #s(literal 4 binary32) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -4 binary32) s) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 3 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -5/3 binary32))) (*.f32 s (*.f32 s s)))))))
(* 4 s)
(*.f32 s #s(literal 4 binary32))
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(neg.f32 (*.f32 s (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32) #s(literal -4 binary32))))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(*.f32 (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 3 binary32)) s)) s)) (neg.f32 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 (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -4 binary32) (/.f32 (fma.f32 (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) #s(literal 5/3 binary32) (*.f32 (*.f32 x x) #s(literal -3 binary32))) (neg.f32 s))) s)) (neg.f32 s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))

rewrite568.0ms (4.4%)

Memory
38.1MiB live, 1 046.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 218×lower-/.f64
5 204×lower-/.f32
4 448×lower-*.f64
4 438×lower-*.f32
3 232×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042301
071298
1254261
21379257
08567252
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 755
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s 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))
#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))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(/.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)))))
(*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x)))
(*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s 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 (/.f32 (fabs.f32 x) s)))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.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 #s(literal 2 binary32) (/.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
(neg.f32 (/.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))) s))
(neg.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 s)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))) s))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (/.f32 #s(literal 1 binary32) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 (neg.f32 s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 (*.f32 (neg.f32 s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))) (neg.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)) s)
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (neg.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (neg.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (neg.f32 (neg.f32 (*.f32 (neg.f32 s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))) (neg.f32 (neg.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))) (neg.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32))) (neg.f32 s))
(*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1 binary32) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s))
(*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s))
(*.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s) #s(literal 1 binary32))
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(*.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)))
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (pow.f32 (/.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
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(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))))
(/.f32 (neg.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (*.f32 s s) (*.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (*.f32 s (*.f32 s s)))))) (neg.f32 (fma.f32 s (-.f32 s (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (*.f32 s s)))))
(/.f32 (neg.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (*.f32 s s) (*.f32 (neg.f32 s) s)))) (neg.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))))) (neg.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))))) (neg.f32 (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (neg.f32 (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))) (neg.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))) (neg.f32 (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))) (neg.f32 (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 s (*.f32 s s) (*.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (*.f32 s (*.f32 s s)))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))) (neg.f32 (fma.f32 s (-.f32 s (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (*.f32 s s)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (*.f32 s s) (*.f32 (neg.f32 s) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))) (neg.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 s))))
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #s(literal 3 binary32)) (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) #s(literal 2 binary32)) (-.f32 (pow.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)

eval695.0ms (5.4%)

Memory
-210.9MiB live, 857.4MiB allocated
Compiler

Compiled 171 211 to 6 483 computations (96.2% saved)

prune459.0ms (3.6%)

Memory
7.3MiB live, 1 033.2MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New3 570143 584
Fresh11112
Picked235
Done000
Total3 583183 601
Accuracy
100.0%
Counts
3 601 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))))
82.1%
(/.f32 (*.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
99.8%
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
99.8%
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
69.6%
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
39.5%
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
95.1%
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(literal 1/4 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
99.8%
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
99.8%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
71.8%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)))))
96.8%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
95.4%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
99.8%
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
16.4%
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 7/192 binary32))) (fma.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x))))) s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
21.4%
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
99.8%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s))))
96.8%
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
27.3%
#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 1 140 to 520 computations (54.4% saved)

simplify377.0ms (2.9%)

Memory
12.7MiB live, 645.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
cost-diff0
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
cost-diff0
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
cost-diff0
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
cost-diff320
(fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))))
cost-diff352
(fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))
cost-diff768
(fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))
cost-diff768
(fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))))))
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-diff3680
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
cost-diff0
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))
cost-diff0
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))))
cost-diff0
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
cost-diff64
(+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))
cost-diff0
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
cost-diff0
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
cost-diff96
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))
cost-diff3168
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
Rules
14 546×lower-fma.f64
14 532×lower-fma.f32
3 004×lower-*.f64
2 988×lower-*.f32
2 340×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066999
01191004
1206874
2419830
3920761
42661687
57073682
08089668
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(fabs.f32 x)
x
s
#s(literal 1 binary32)
#s(literal -2 binary32)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))))
(+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))
#s(literal 1/4 binary32)
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))
(*.f32 (*.f32 x x) #s(literal -1/16 binary32))
(*.f32 x x)
x
#s(literal -1/16 binary32)
(*.f32 s s)
s
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 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 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))
(fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s)
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s))
#s(literal 1/4 binary32)
(/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s)
(neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s)))
(fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))
(fabs.f32 x)
x
(/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s)
(fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s)
(fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))
(*.f32 x x)
(*.f32 (*.f32 x x) #s(literal -3/16 binary32))
#s(literal -3/16 binary32)
s
(fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))
#s(literal 5/48 binary32)
(*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s))
(/.f32 (*.f32 x x) s)
(fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))))
(/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s)
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
#s(literal -2 binary32)
(log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(fabs.f32 x)
x
s
Outputs
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(fabs.f32 x)
x
s
#s(literal 1 binary32)
#s(literal -2 binary32)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (*.f32 #s(literal -1/16 binary32) (/.f32 x (*.f32 s s))) #s(literal 1/4 binary32))) s)
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (*.f32 #s(literal -1/16 binary32) (/.f32 x (*.f32 s s))) #s(literal 1/4 binary32)))
(+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))
(fma.f32 x (*.f32 #s(literal -1/16 binary32) (/.f32 x (*.f32 s s))) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))
(*.f32 x (*.f32 #s(literal -1/16 binary32) (/.f32 x (*.f32 s s))))
(*.f32 (*.f32 x x) #s(literal -1/16 binary32))
(*.f32 x x)
x
#s(literal -1/16 binary32)
(*.f32 s s)
s
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (/.f32 (fabs.f32 x) s))
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))
(*.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s)
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32)))) s)) s))) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32)))) s)) s))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s)))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32)))) s)) s)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s))
(+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32)))) s)) s))
#s(literal 1/4 binary32)
(/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s)
(/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32)))) s)) (neg.f32 s))
(neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s)))
(fma.f32 (fabs.f32 x) #s(literal -1/4 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32)))) (neg.f32 s)))
(fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))
(fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32)))) s))
(fabs.f32 x)
x
(/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s)
(/.f32 (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32)))) s)
(fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))))))
(fma.f32 x (*.f32 x #s(literal 1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/48 binary32))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s)
(/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) s)
(fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))
(*.f32 (*.f32 x x) #s(literal 1/16 binary32))
(*.f32 x x)
(*.f32 (*.f32 x x) #s(literal -3/16 binary32))
#s(literal -3/16 binary32)
s
(fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))
(*.f32 x (fma.f32 x #s(literal 1/16 binary32) (*.f32 (/.f32 (*.f32 x (fabs.f32 x)) s) #s(literal -1/12 binary32))))
#s(literal 5/48 binary32)
(*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s))
(*.f32 x (/.f32 (*.f32 x (fabs.f32 x)) s))
(/.f32 (*.f32 x x) s)
(fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))))
(*.f32 (*.f32 x x) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -3/16 binary32) s) #s(literal 1/16 binary32)))
(/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s)
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
#s(literal -2 binary32)
(log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(fabs.f32 x)
x
s

localize317.0ms (2.5%)

Memory
14.6MiB live, 415.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
accuracy99.9%
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy99.9%
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
accuracy99.8%
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
accuracy76.0%
(fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))))
accuracy56.8%
(fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))))))
accuracy50.8%
(fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))
accuracy26.1%
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s)))
accuracy99.9%
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy99.9%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
accuracy99.9%
(*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))
accuracy42.7%
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
accuracy99.9%
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
accuracy98.9%
(*.f32 (*.f32 x x) #s(literal -1/16 binary32))
accuracy77.7%
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))
accuracy27.4%
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))))
accuracy99.9%
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
accuracy99.9%
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
accuracy99.9%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
accuracy99.9%
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))
Samples
136.0ms256×0valid
Compiler

Compiled 855 to 61 computations (92.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-mult: 46.0ms (40.5% of total)
ival-div: 21.0ms (18.5% of total)
ival-exp: 11.0ms (9.7% of total)
ival-add: 11.0ms (9.7% of total)
const: 8.0ms (7% of total)
ival-pow: 7.0ms (6.2% of total)
ival-fabs: 3.0ms (2.6% of total)
ival-neg: 3.0ms (2.6% of total)
ival-log1p: 2.0ms (1.8% of total)
ival-sub: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series199.0ms (1.5%)

Memory
-13.2MiB live, 298.6MiB allocated
Counts
26 → 588
Calls
Call 1
Inputs
#<alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))>
#<alt (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))>
#<alt (/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)>
#<alt (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))>
#<alt (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))>
#<alt (/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)>
#<alt #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))))>
#<alt (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))>
#<alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))>
#<alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))>
#<alt (/.f32 (neg.f32 (fabs.f32 x)) s)>
#<alt (neg.f32 (fabs.f32 x))>
#<alt (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))))))>
#<alt (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))>
#<alt (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))>
#<alt (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))))>
#<alt (/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)>
#<alt (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))>
#<alt (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))>
#<alt (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))>
#<alt (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))>
#<alt (*.f32 (*.f32 x x) #s(literal -1/16 binary32))>
#<alt #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))>
#<alt (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))>
#<alt (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))>
#<alt #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s)))>
Outputs
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt 1/4>
#<alt (- (+ 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))))>
#<alt (- (+ 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))))))>
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#<alt 1/4>
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#<alt 1/4>
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#<alt 1/4>
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#<alt 1/4>
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#<alt 1/4>
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#<alt (/ 1/4 s)>
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#<alt (* -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))>
#<alt (* -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))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
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#<alt 1/4>
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#<alt 1/4>
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#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/4 (/ (fabs x) s)))>
#<alt (- (+ 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)))>
#<alt (- (+ 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))))))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/4 (/ (fabs x) s)))>
#<alt (+ 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)))>
#<alt (+ 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)))>
Calls

147 calls:

TimeVariablePointExpression
46.0ms
x
@inf
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))) s)
42.0ms
x
@0
(pow (exp -1) (/ (fabs x) s))
18.0ms
x
@0
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))) s)
17.0ms
x
@-inf
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s)))) s)
5.0ms
s
@0
(log (+ 1 (exp (neg (/ (fabs x) s)))))

simplify693.0ms (5.4%)

Memory
15.6MiB live, 668.2MiB allocated
Algorithm
egg-herbie
Rules
16 984×lower-fma.f64
16 984×lower-fma.f32
4 432×lower-*.f64
4 432×lower-*.f32
3 564×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054310310
116659031
260897943
087177601
Stop Event
iter limit
node limit
Counts
588 → 588
Calls
Call 1
Inputs
(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)))
(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)))
(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)))
(exp (* -1 (/ (fabs x) 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
(+ 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)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
1/4
(- (+ 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))))
(- (+ 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))))))
(- (+ 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)))))))))
1/4
(- (+ 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))))
(- (+ 1/4 (+ (* -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))))))) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))
(- (+ 1/4 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/96 (pow (fabs x) 4)) (+ (* 1/16 (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4))))) (+ (* 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)))))) (* (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)) (* 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))))))) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) 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 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
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
(+ 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
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(* -1/16 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))
(* -1/16 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))
(* -1/16 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
1/4
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
1/4
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) 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)
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(/ 1/4 s)
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(exp (* -1 (/ (fabs x) s)))
1
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1
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(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -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))))))))
(* 4 s)
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) s))) s)) 4)))
(* -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)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) s)))
(exp (neg (/ (fabs x) 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
(+ 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 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
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
(+ 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)))
Outputs
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) 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)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))
(+ 1 (+ (* -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) (/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (*.f32 s (*.f32 s s))) (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 1 binary32)))
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 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
1/4
#s(literal 1/4 binary32)
(- (+ 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))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
(- (+ 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))))))
(-.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/8 binary32) (fma.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/4 binary32))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 3/16 binary32)) (*.f32 s s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -5/48 binary32))) (*.f32 s (*.f32 s 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)))))))))
(+.f32 (fma.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s s))) #s(literal 1/4 binary32)) (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 0 binary32) (pow.f32 s #s(literal 4 binary32))) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 s (*.f32 s s))) (fma.f32 #s(literal 1/16 binary32) (fma.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (/.f32 #s(literal -5/3 binary32) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 3/4 binary32)) (pow.f32 s #s(literal 4 binary32)))) (fma.f32 (*.f32 #s(literal 3/4 binary32) (*.f32 x x)) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 x x) #s(literal 3/16 binary32)) (*.f32 s s))))))))
1/4
#s(literal 1/4 binary32)
(- (+ 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))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
(- (+ 1/4 (+ (* -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))))))) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))
(+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s))))
(- (+ 1/4 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/96 (pow (fabs x) 4)) (+ (* 1/16 (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4))))) (+ (* 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)))))) (* (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)) (* 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))))))) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))))
(+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/192 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) #s(literal 0 binary32)))) (neg.f32 s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))
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#s(literal 2 binary32)
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2
#s(literal 2 binary32)
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(* -1/16 (pow x 2))
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#s(literal 2 binary32)
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2
#s(literal 2 binary32)
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(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* 4 s)
(*.f32 s #s(literal 4 binary32))
(* s (+ 4 (* -4 (/ (fabs x) s))))
(*.f32 s (fma.f32 (fabs.f32 x) (/.f32 #s(literal -4 binary32) s) #s(literal 4 binary32)))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(*.f32 s (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 3 binary32) (fma.f32 (fabs.f32 x) (/.f32 #s(literal -4 binary32) s) #s(literal 4 binary32))))
(* 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 s (+.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -4 binary32) s) #s(literal 4 binary32)) (fma.f32 (/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (*.f32 s (*.f32 s s))) #s(literal -5/3 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) (*.f32 s s)))))
(* 4 s)
(*.f32 s #s(literal 4 binary32))
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(neg.f32 (*.f32 s (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32) #s(literal -4 binary32))))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) s))) s)) 4)))
(*.f32 (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 (fabs.f32 x) #s(literal -4 binary32))) s)) (neg.f32 s))
(* -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)))
(*.f32 s (neg.f32 (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -4 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s) #s(literal 5/3 binary32) (*.f32 (*.f32 x x) #s(literal -3 binary32))) (neg.f32 s))) s))))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp (neg (/ (fabs x) s)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) 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)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)))
(+ 1 (+ (* -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) (/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) (*.f32 s (*.f32 s s))) (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 1 binary32)))
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 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (fabs.f32 x))) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/ 1 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
1/4
#s(literal 1/4 binary32)
(+ 1/4 (* 1/4 (/ (fabs x) s)))
(fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))
(- (+ 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)))
(+.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 s s)) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32)))
(- (+ 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))))))
(+.f32 (/.f32 (fma.f32 (fabs.f32 x) (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/12 binary32)))) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal -1/4 binary32) (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 (*.f32 x x) #s(literal 3/16 binary32)) (*.f32 s s)))))
1/4
#s(literal 1/4 binary32)
(+ 1/4 (* 1/4 (/ (fabs x) s)))
(fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))
(+ 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)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -1/4 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) s) (/.f32 (*.f32 (*.f32 x x) #s(literal 3/16 binary32)) s))) 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)))
(+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/12 binary32) #s(literal 1/16 binary32)))) s) (*.f32 (fabs.f32 x) #s(literal 1/4 binary32))) s))

rewrite956.0ms (7.4%)

Memory
-17.9MiB live, 418.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 066×lower-*.f64
4 052×lower-*.f32
3 944×lower-/.f64
3 922×lower-/.f32
3 728×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064450
0115439
1426403
23280389
08736382
Stop Event
iter limit
node limit
iter limit
Counts
26 → 832
Calls
Call 1
Inputs
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)))
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))
(+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))))
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 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))
(fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))))))
(fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))
(fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))
(fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) #s(literal -1/16 binary32))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
(*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s)))
Outputs
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))))
(exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -2 binary32))) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s))))
(exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s))) #s(literal 2 binary32)))
(exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)) (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 1/2 binary32))
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(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))
(pow.f32 (exp.f32 (fabs.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (exp.f32 (fabs.f32 x)) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
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(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))))
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(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (exp.f32 (/.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)))))
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(/.f32 (neg.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32))) (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)))) (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))))
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(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(*.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s))))))
(*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
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(neg.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 s)))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))) s))
(exp.f32 (*.f32 (log.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal -1 binary32)))
(pow.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))))))
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(/.f32 #s(literal 1 binary32) (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 s (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))))))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s))
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(/.f32 (*.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (neg.f32 (neg.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32))) (neg.f32 s))
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(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)))
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(exp.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -1 binary32)))
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(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32) (*.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32))))
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(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) (neg.f32 (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (neg.f32 (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (log1p.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) (exp.f32 (log1p.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (exp.f32 (log1p.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))))) (exp.f32 (log.f32 (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 (exp.f32 (log1p.f32 (neg.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) (exp.f32 (log1p.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (exp.f32 (log.f32 (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (exp.f32 (log.f32 (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(*.f32 (expm1.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
(*.f32 x (*.f32 x #s(literal -1/16 binary32)))
(*.f32 (*.f32 x x) #s(literal -1/16 binary32))
(*.f32 #s(literal -1/16 binary32) (*.f32 x x))
(*.f32 (*.f32 x #s(literal -1/16 binary32)) x)
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
(+.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) s) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(+.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) s))
(+.f32 (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(+.f32 (*.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(fma.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (*.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(fma.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) s (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) s))
(fma.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (fma.f32 s (*.f32 s s) (*.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (*.f32 s (*.f32 s s))))) (fma.f32 s (-.f32 s (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))))
(/.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (fma.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (*.f32 s (neg.f32 s)))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 s)))
(/.f32 (*.f32 (fma.f32 s (*.f32 s s) (*.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (*.f32 s (*.f32 s s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (fma.f32 s (-.f32 s (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))))
(/.f32 (*.f32 (fma.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (*.f32 s (neg.f32 s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (fma.f32 s (*.f32 s s) (*.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (*.f32 s (*.f32 s s)))))) (neg.f32 (fma.f32 s (-.f32 s (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))))
(/.f32 (neg.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (fma.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (*.f32 s (neg.f32 s))))) (neg.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (fma.f32 s (*.f32 s s) (*.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (*.f32 s (*.f32 s s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 s (-.f32 s (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (*.f32 s (neg.f32 s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 s))))
(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 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 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(*.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) s)
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(exp.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))))
(exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -2 binary32))) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s))))
(exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s))) #s(literal 2 binary32)))
(exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)) (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (neg.f32 (fabs.f32 x))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))
(pow.f32 (exp.f32 (fabs.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (exp.f32 (fabs.f32 x)) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (fabs.f32 x)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (neg.f32 (/.f32 (fabs.f32 x) s)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) (fabs.f32 x))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 (fabs.f32 x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (neg.f32 (/.f32 (fabs.f32 x) s)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (fabs.f32 x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 (fabs.f32 x) s)))
(*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s))))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) (*.f32 #s(literal 2 binary32) s)))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) s) (fma.f32 (fabs.f32 x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 5/48 binary32)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))))) s)) s)))

eval247.0ms (1.9%)

Memory
21.5MiB live, 366.3MiB allocated
Compiler

Compiled 64 523 to 5 666 computations (91.2% saved)

prune229.0ms (1.8%)

Memory
-0.0MiB live, 513.9MiB allocated
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New1 663111 674
Fresh6410
Picked325
Done123
Total1 673191 692
Accuracy
100.0%
Counts
1 692 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))))
99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (fabs.f32 x) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))) s)
99.8%
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
99.8%
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
69.6%
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
69.6%
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
39.5%
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
99.8%
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
99.8%
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
96.8%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
88.7%
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))))) s)
16.4%
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 13/8 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -7/4 binary32))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))) s)
80.4%
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
16.4%
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (pow (exp -1) (/ (fabs x) s))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/192 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) #s(literal 0 binary32)))) (neg.f32 s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)))) s)
27.2%
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32))) s)
21.5%
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))) s)
12.6%
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/256 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/16 binary32)) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))) s)
99.8%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s))))
27.3%
#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 848 to 480 computations (43.4% saved)

simplify310.0ms (2.4%)

Memory
-5.8MiB live, 593.1MiB 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-diff3680
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
cost-diff0
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s)))
cost-diff0
(*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
cost-diff64
(-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))
cost-diff64
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
cost-diff0
(neg.f32 (/.f32 (fabs.f32 x) s))
cost-diff0
#s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))
cost-diff0
(exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s))))
cost-diff0
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
cost-diff0
(/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s))
cost-diff0
(fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))
cost-diff0
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))
cost-diff0
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))) s)
cost-diff0
(/.f32 #s(literal 1 binary32) s)
cost-diff0
(exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
cost-diff0
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
cost-diff160
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
Rules
9 994×lower-fma.f64
9 984×lower-fma.f32
4 244×lower-*.f64
4 230×lower-*.f32
2 094×lower-neg.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0791099
01261135
12341001
2508929
31126849
42868729
55242724
08197724
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
(exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 #s(literal 1 binary32) s)
#s(literal 1 binary32)
s
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
(*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
#s(literal -2 binary32)
(log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))) s)
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))
(fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))
x
(/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s))
(*.f32 x #s(literal -1/16 binary32))
#s(literal -1/16 binary32)
(*.f32 s s)
s
#s(literal 1/4 binary32)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s))))
#s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(fabs.f32 x)
x
s
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))
#s(literal 1/4 binary32)
(/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s)
(neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s)))
(fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))
(fabs.f32 x)
x
(/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s)
#s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))
(*.f32 x x)
(fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))
(/.f32 (fabs.f32 x) s)
s
#s(literal -1/48 binary32)
#s(literal 1/16 binary32)
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.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 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))
(fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s)
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
#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)
Outputs
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal 1 binary32) s)
#s(literal 1 binary32)
s
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
(*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))
#s(literal -2 binary32)
(log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (*.f32 x (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) #s(literal 1/4 binary32))) s)
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (*.f32 x (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) #s(literal 1/4 binary32)))
(fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))
(fma.f32 x (*.f32 x (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) #s(literal 1/4 binary32))
x
(/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s))
(*.f32 x (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))
(*.f32 x #s(literal -1/16 binary32))
#s(literal -1/16 binary32)
(*.f32 s s)
s
#s(literal 1/4 binary32)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s))))
#s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
(fabs.f32 x)
x
s
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))))) s)) s))) (*.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))))) s)) s))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s)))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))))) s)) s)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))
(+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))))) s)) s))
#s(literal 1/4 binary32)
(/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s)
(/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))))) s)) (neg.f32 s))
(neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s)))
(fma.f32 (fabs.f32 x) #s(literal -1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))))) (neg.f32 s)))
(fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))
(fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))))) s))
(fabs.f32 x)
x
(/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s)
(/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))))) s)
#s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))))
#s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))))
(*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))
(*.f32 x (*.f32 x (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))))
(*.f32 x x)
(fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))
(/.f32 (fabs.f32 x) s)
s
#s(literal -1/48 binary32)
#s(literal 1/16 binary32)
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (/.f32 (fabs.f32 x) s))
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
(*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))
(*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))
(fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s)
(fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (fabs.f32 x) s)
#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)

localize313.0ms (2.4%)

Memory
5.8MiB live, 611.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy99.9%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
accuracy99.9%
(*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))
accuracy25.1%
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
accuracy98.7%
(fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))
accuracy98.7%
(*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))
accuracy90.5%
(/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s)
accuracy26.1%
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s)))
accuracy100.0%
(fabs.f32 x)
accuracy99.9%
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
accuracy99.8%
(exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s))))
accuracy77.6%
#s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy99.9%
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))) s)
accuracy93.7%
(fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))
accuracy90.0%
(/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s))
accuracy27.4%
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))
accuracy99.9%
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
accuracy99.9%
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
accuracy99.8%
(exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
accuracy99.6%
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
Samples
200.0ms256×0valid
Compiler

Compiled 775 to 68 computations (91.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-mult: 75.0ms (42.4% of total)
ival-div: 58.0ms (32.8% of total)
ival-add: 14.0ms (7.9% of total)
ival-exp: 10.0ms (5.7% of total)
const: 7.0ms (4% of total)
ival-neg: 3.0ms (1.7% of total)
ival-pow: 3.0ms (1.7% of total)
ival-sub: 2.0ms (1.1% of total)
ival-log1p: 2.0ms (1.1% of total)
ival-fabs: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.3%)

Memory
26.7MiB live, 102.2MiB allocated
Counts
27 → 612
Calls
Call 1
Inputs
#<alt (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))>
#<alt (/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)>
#<alt (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))>
#<alt (/.f32 #s(literal 1 binary32) s)>
#<alt (/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))) s)>
#<alt #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))>
#<alt (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))>
#<alt (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s))>
#<alt (/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)>
#<alt (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s))))>
#<alt #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))>
#<alt (neg.f32 (/.f32 (fabs.f32 x) s))>
#<alt (/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)>
#<alt (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))>
#<alt (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))>
#<alt #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s)))>
#<alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))>
#<alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))>
#<alt (/.f32 (neg.f32 (fabs.f32 x)) s)>
#<alt (neg.f32 (fabs.f32 x))>
#<alt (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))>
#<alt (fabs.f32 x)>
#<alt (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s)>
#<alt (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))>
#<alt (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))>
#<alt #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))>
#<alt (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))>
Outputs
#<alt (* -1 (/ (fabs x) s))>
#<alt (/ (+ (* -2 (* s (log (+ 1 (exp (neg (/ (fabs x) s))))))) (* -1 (fabs x))) s)>
#<alt (/ (+ (* -2 (* s (log (+ 1 (exp (neg (/ (fabs x) s))))))) (* -1 (fabs x))) s)>
#<alt (/ (+ (* -2 (* s (log (+ 1 (exp (neg (/ (fabs x) s))))))) (* -1 (fabs x))) s)>
#<alt (* -2 (log 2))>
#<alt (+ (* -2 (log 2)) (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s)))>
#<alt (+ (* -2 (log 2)) (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (/ (fabs x) s))))>
#<alt (+ (* -2 (log 2)) (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (+ (* -1/3 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3))) (/ (fabs x) s)))))>
#<alt (* -2 (log 2))>
#<alt (+ (* -2 (log 2)) (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s)))>
#<alt (+ (* -2 (log 2)) (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (+ (* -1/4 (/ (pow (fabs x) 2) s)) (* 1/2 (/ (pow (fabs x) 2) s))))) s)))>
#<alt (+ (* -2 (log 2)) (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/3 (/ (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3)))) s))) s)))) s)))>
#<alt (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))>
#<alt (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))>
#<alt (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))>
#<alt (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))>
#<alt (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))>
#<alt (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))>
#<alt (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))>
#<alt (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))>
#<alt (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))>
#<alt (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))>
#<alt (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))>
#<alt (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s))) s)>
#<alt (/ (+ 1/4 (+ (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))) (pow s 2))))) s)>
#<alt (/ (+ 1/4 (+ (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)) (+ (* 1/4 (/ (+ (* -1 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/3 (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3))))) (* 1/6 (pow (+ (fabs x) (* -1 (fabs x))) 3)))) (pow s 3))) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))) (pow s 2)))))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)) 1/4) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (fabs x) (* -1 (fabs x)))) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))) s))) s)) 1/4) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2)))) (* 1/4 (/ (+ (* -1 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/3 (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3))))) (* 1/6 (pow (+ (fabs x) (* -1 (fabs x))) 3)))) s))) s)) (* -1/4 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s))>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)))>
#<alt (+ 1/4 (+ (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))) (pow s 2)))))>
#<alt (+ 1/4 (+ (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)) (+ (* 1/4 (/ (+ (* -1 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/3 (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3))))) (* 1/6 (pow (+ (fabs x) (* -1 (fabs x))) 3)))) (pow s 3))) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))) (pow s 2))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))) s)) (* 1/4 (+ (fabs x) (* -1 (fabs x))))) s)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/3 (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3))))) (* 1/6 (pow (+ (fabs x) (* -1 (fabs x))) 3)))) s)) (* 1/4 (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))))) s)) (* 1/4 (+ (fabs x) (* -1 (fabs x))))) s)))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ 1 s)>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))>
#<alt (/ 1/4 s)>
#<alt (/ (- (+ 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)>
#<alt (/ (- (+ 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)>
#<alt (/ (- (+ 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)>
#<alt (/ 1/4 s)>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt (/ (exp (neg (/ (fabs x) s))) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))>
#<alt 1/4>
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#<alt (- (+ 1/4 (* (pow x 2) (- (+ (* -3/16 (/ (fabs x) (pow s 3))) (+ (* 1/16 (/ (fabs x) (pow s 3))) (+ (* 5/48 (/ (fabs x) (pow s 3))) (* 1/4 (/ 1 (pow s 2)))))) (* 3/16 (/ 1 (pow s 2)))))) (* -1/4 (/ (fabs x) s)))>
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#<alt 1/4>
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#<alt 1/4>
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#<alt 1/4>
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#<alt 1/4>
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#<alt (/ 1/4 s)>
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#<alt (/ (- (+ 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)>
#<alt (/ 1/4 s)>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt (exp (* -1 (/ (fabs x) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (/ (fabs x) s))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (* -1 (fabs x))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt (exp (neg (/ (fabs x) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (fabs x) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (/ (* (pow x 2) (+ 1/16 (+ (* -3/16 (/ (fabs x) s)) (+ (* 1/16 (/ (fabs x) s)) (* 5/48 (/ (fabs x) s)))))) s)>
#<alt (/ (* (pow x 2) (+ 1/16 (+ (* -3/16 (/ (fabs x) s)) (+ (* 1/16 (/ (fabs x) s)) (* 5/48 (/ (fabs x) s)))))) s)>
#<alt (/ (* (pow x 2) (+ 1/16 (+ (* -3/16 (/ (fabs x) s)) (+ (* 1/16 (/ (fabs x) s)) (* 5/48 (/ (fabs x) s)))))) s)>
#<alt (/ (* (pow x 2) (+ 1/16 (+ (* -3/16 (/ (fabs x) s)) (+ (* 1/16 (/ (fabs x) s)) (* 5/48 (/ (fabs x) s)))))) s)>
#<alt (/ (* (pow x 2) (+ 1/16 (+ (* -3/16 (/ (fabs x) s)) (+ (* 1/16 (/ (fabs x) s)) (* 5/48 (/ (fabs x) s)))))) s)>
#<alt (/ (* (pow x 2) (+ 1/16 (+ (* -3/16 (/ (fabs x) s)) (+ (* 1/16 (/ (fabs x) s)) (* 5/48 (/ (fabs x) s)))))) s)>
#<alt (/ (* (pow x 2) (+ 1/16 (+ (* -3/16 (/ (fabs x) s)) (+ (* 1/16 (/ (fabs x) s)) (* 5/48 (/ (fabs x) s)))))) s)>
#<alt (/ (* (pow x 2) (+ 1/16 (+ (* -3/16 (/ (fabs x) s)) (+ (* 1/16 (/ (fabs x) s)) (* 5/48 (/ (fabs x) s)))))) s)>
#<alt (/ (* (pow x 2) (+ 1/16 (+ (* -3/16 (/ (fabs x) s)) (+ (* 1/16 (/ (fabs x) s)) (* 5/48 (/ (fabs x) s)))))) s)>
#<alt (/ (* (pow x 2) (+ 1/16 (+ (* -3/16 (/ (fabs x) s)) (+ (* 1/16 (/ (fabs x) s)) (* 5/48 (/ (fabs x) s)))))) s)>
#<alt (/ (* (pow x 2) (+ 1/16 (+ (* -3/16 (/ (fabs x) s)) (+ (* 1/16 (/ (fabs x) s)) (* 5/48 (/ (fabs x) s)))))) s)>
#<alt (/ (* (pow x 2) (+ 1/16 (+ (* -3/16 (/ (fabs x) s)) (+ (* 1/16 (/ (fabs x) s)) (* 5/48 (/ (fabs x) s)))))) s)>
#<alt (/ (+ (* -3/16 (* (pow x 2) (fabs x))) (+ (* 5/48 (* (pow x 2) (fabs x))) (* (fabs x) (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))))) (pow s 2))>
#<alt (/ (+ (* -3/16 (* (pow x 2) (fabs x))) (+ (* 5/48 (* (pow x 2) (fabs x))) (+ (* s (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))) (* (fabs x) (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2))))))) (pow s 2))>
#<alt (/ (+ (* -3/16 (* (pow x 2) (fabs x))) (+ (* 5/48 (* (pow x 2) (fabs x))) (+ (* s (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))) (* (fabs x) (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2))))))) (pow s 2))>
#<alt (/ (+ (* -3/16 (* (pow x 2) (fabs x))) (+ (* 5/48 (* (pow x 2) (fabs x))) (+ (* s (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))) (* (fabs x) (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2))))))) (pow s 2))>
#<alt (/ (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2))) s)>
#<alt (/ (+ (* -3/16 (/ (* (pow x 2) (fabs x)) s)) (+ (* -3/16 (pow x 2)) (+ (* 5/48 (/ (* (pow x 2) (fabs x)) s)) (+ (* 1/4 (pow x 2)) (/ (* (fabs x) (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))) s))))) s)>
#<alt (/ (+ (* -3/16 (/ (* (pow x 2) (fabs x)) s)) (+ (* -3/16 (pow x 2)) (+ (* 5/48 (/ (* (pow x 2) (fabs x)) s)) (+ (* 1/4 (pow x 2)) (/ (* (fabs x) (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))) s))))) s)>
#<alt (/ (+ (* -3/16 (/ (* (pow x 2) (fabs x)) s)) (+ (* -3/16 (pow x 2)) (+ (* 5/48 (/ (* (pow x 2) (fabs x)) s)) (+ (* 1/4 (pow x 2)) (/ (* (fabs x) (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))) s))))) s)>
#<alt (/ (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2))) s)>
#<alt (* -1 (/ (+ (* -1 (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))) (+ (* -1 (/ (* (fabs x) (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))) s)) (+ (* -5/48 (/ (* (pow x 2) (fabs x)) s)) (* 3/16 (/ (* (pow x 2) (fabs x)) s))))) s))>
#<alt (* -1 (/ (+ (* -1 (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))) (+ (* -1 (/ (* (fabs x) (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))) s)) (+ (* -5/48 (/ (* (pow x 2) (fabs x)) s)) (* 3/16 (/ (* (pow x 2) (fabs x)) s))))) s))>
#<alt (* -1 (/ (+ (* -1 (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))) (+ (* -1 (/ (* (fabs x) (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))) s)) (+ (* -5/48 (/ (* (pow x 2) (fabs x)) s)) (* 3/16 (/ (* (pow x 2) (fabs x)) s))))) s))>
#<alt (* (pow x 2) (+ 1/16 (* -1/48 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/16 (* -1/48 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/16 (* -1/48 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/16 (* -1/48 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/16 (* -1/48 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/16 (* -1/48 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/16 (* -1/48 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/16 (* -1/48 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/16 (* -1/48 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/16 (* -1/48 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/16 (* -1/48 (/ (fabs x) s))))>
#<alt (* (pow x 2) (+ 1/16 (* -1/48 (/ (fabs x) s))))>
#<alt (* -1/48 (/ (* (pow x 2) (fabs x)) s))>
#<alt (/ (+ (* -1/48 (* (pow x 2) (fabs x))) (* 1/16 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/48 (* (pow x 2) (fabs x))) (* 1/16 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/48 (* (pow x 2) (fabs x))) (* 1/16 (* s (pow x 2)))) s)>
#<alt (* 1/16 (pow x 2))>
#<alt (+ (* -1/48 (/ (* (pow x 2) (fabs x)) s)) (* 1/16 (pow x 2)))>
#<alt (+ (* -1/48 (/ (* (pow x 2) (fabs x)) s)) (* 1/16 (pow x 2)))>
#<alt (+ (* -1/48 (/ (* (pow x 2) (fabs x)) s)) (* 1/16 (pow x 2)))>
#<alt (* 1/16 (pow x 2))>
#<alt (+ (* -1/48 (/ (* (pow x 2) (fabs x)) s)) (* 1/16 (pow x 2)))>
#<alt (+ (* -1/48 (/ (* (pow x 2) (fabs x)) s)) (* 1/16 (pow x 2)))>
#<alt (+ (* -1/48 (/ (* (pow x 2) (fabs x)) s)) (* 1/16 (pow x 2)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (* -1/48 (/ (fabs x) s))>
#<alt (/ (+ (* -1/48 (fabs x)) (* 1/16 s)) s)>
#<alt (/ (+ (* -1/48 (fabs x)) (* 1/16 s)) s)>
#<alt (/ (+ (* -1/48 (fabs x)) (* 1/16 s)) s)>
#<alt 1/16>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt 1/16>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1/16 (* -1/48 (/ (fabs x) s)))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (fabs x) s)))>
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (fabs x) s)))>
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))>
#<alt (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))>
#<alt (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))>
#<alt (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))>
#<alt (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))>
#<alt (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))>
#<alt (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))>
#<alt (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))>
#<alt (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))>
#<alt (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))>
#<alt (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))>
#<alt (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))>
#<alt (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))>
#<alt (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))>
#<alt (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))>
#<alt (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))>
#<alt (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))>
#<alt (* 4 s)>
#<alt (* s (+ 4 (* -4 (/ (fabs x) s))))>
#<alt (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))>
#<alt (* 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))))))))>
#<alt (* 4 s)>
#<alt (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))>
#<alt (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) s))) s)) 4)))>
#<alt (* -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)))>
Calls

153 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(- 1/4 (/ (neg (+ (* (fabs x) 1/4) (/ (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) s))) s))
2.0ms
x
@0
(- 1/4 (/ (neg (+ (* (fabs x) 1/4) (/ (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) s))) s))
2.0ms
x
@0
(* (* x x) (+ (* (/ (fabs x) s) -1/48) 1/16))
2.0ms
x
@-inf
(- 1/4 (/ (neg (+ (* (fabs x) 1/4) (/ (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) s))) s))
2.0ms
s
@inf
(exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))))

simplify419.0ms (3.3%)

Memory
-23.2MiB live, 853.9MiB allocated
Algorithm
egg-herbie
Rules
12 730×lower-fma.f64
12 730×lower-fma.f32
4 346×lower-+.f64
4 346×lower-+.f32
4 098×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070511362
121879717
083599243
Stop Event
iter limit
node limit
Counts
612 → 612
Calls
Call 1
Inputs
(* -1 (/ (fabs x) s))
(/ (+ (* -2 (* s (log (+ 1 (exp (neg (/ (fabs x) s))))))) (* -1 (fabs x))) s)
(/ (+ (* -2 (* s (log (+ 1 (exp (neg (/ (fabs x) s))))))) (* -1 (fabs x))) s)
(/ (+ (* -2 (* s (log (+ 1 (exp (neg (/ (fabs x) s))))))) (* -1 (fabs x))) s)
(* -2 (log 2))
(+ (* -2 (log 2)) (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s)))
(+ (* -2 (log 2)) (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (/ (fabs x) s))))
(+ (* -2 (log 2)) (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (+ (* -1/3 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3))) (/ (fabs x) s)))))
(* -2 (log 2))
(+ (* -2 (log 2)) (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s)))
(+ (* -2 (log 2)) (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (+ (* -1/4 (/ (pow (fabs x) 2) s)) (* 1/2 (/ (pow (fabs x) 2) s))))) s)))
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(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (+ (* -1 (/ (+ (* -3/16 (/ (fabs x) (pow s 2))) (+ (* 1/16 (/ 1 s)) (+ (* 1/16 (/ (fabs x) (pow s 2))) (* 5/48 (/ (fabs x) (pow s 2)))))) s)) (* -1/4 (/ (fabs x) (* s (pow x 2)))))))
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(/ (- (* s (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))) (* -1 (+ (* -3/16 (* (pow x 2) (fabs x))) (+ (* 5/48 (* (pow x 2) (fabs x))) (* (fabs x) (+ (* -3/16 (pow x 2)) (* 1/4 (pow x 2)))))))) (pow s 3))
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1/4
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1/4
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(+ 1/16 (* -1/48 (/ (fabs x) s)))
(+ 1/16 (* -1/48 (/ (fabs x) s)))
(+ 1/16 (* -1/48 (/ (fabs x) s)))
(+ 1/16 (* -1/48 (/ (fabs x) s)))
(+ 1/16 (* -1/48 (/ (fabs x) s)))
(+ 1/16 (* -1/48 (/ (fabs x) s)))
(+ 1/16 (* -1/48 (/ (fabs x) s)))
(+ 1/16 (* -1/48 (/ (fabs x) s)))
(* -1/48 (/ (fabs x) s))
(/ (+ (* -1/48 (fabs x)) (* 1/16 s)) s)
(/ (+ (* -1/48 (fabs x)) (* 1/16 s)) s)
(/ (+ (* -1/48 (fabs x)) (* 1/16 s)) s)
1/16
(+ 1/16 (* -1/48 (/ (fabs x) s)))
(+ 1/16 (* -1/48 (/ (fabs x) s)))
(+ 1/16 (* -1/48 (/ (fabs x) s)))
1/16
(+ 1/16 (* -1/48 (/ (fabs x) s)))
(+ 1/16 (* -1/48 (/ (fabs x) s)))
(+ 1/16 (* -1/48 (/ (fabs x) s)))
(+ 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 (exp (* -1 (/ (fabs x) s))))
(+ 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 (exp (* -1 (/ (fabs x) s))))
(+ 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 (exp (* -1 (/ (fabs x) s))))
(+ 1 (exp (* -1 (/ (fabs x) 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
(+ 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 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (neg (/ (fabs x) s))))))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -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))))))))
(* 4 s)
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) s))) s)) 4)))
(* -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)))
Outputs
(* -1 (/ (fabs x) s))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/ (+ (* -2 (* s (log (+ 1 (exp (neg (/ (fabs x) s))))))) (* -1 (fabs x))) s)
(/.f32 (fma.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 s #s(literal -2 binary32)) (neg.f32 (fabs.f32 x))) s)
(/ (+ (* -2 (* s (log (+ 1 (exp (neg (/ (fabs x) s))))))) (* -1 (fabs x))) s)
(/.f32 (fma.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 s #s(literal -2 binary32)) (neg.f32 (fabs.f32 x))) s)
(/ (+ (* -2 (* s (log (+ 1 (exp (neg (/ (fabs x) s))))))) (* -1 (fabs x))) s)
(/.f32 (fma.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 s #s(literal -2 binary32)) (neg.f32 (fabs.f32 x))) s)
(* -2 (log 2))
(*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))
(+ (* -2 (log 2)) (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) #s(literal 0 binary32))
(+ (* -2 (log 2)) (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (/ (fabs x) s))))
(fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 s s)) #s(literal 0 binary32)))
(+ (* -2 (log 2)) (+ (* -1 (/ (fabs x) s)) (+ (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))) (pow s 2))) (+ (* -1/3 (/ (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3)))) (pow s 3))) (/ (fabs x) s)))))
(fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (+.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/4 binary32) (*.f32 s s)) #s(literal 0 binary32)) (/.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))))
(* -2 (log 2))
(*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))
(+ (* -2 (log 2)) (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s)))
(fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) #s(literal 0 binary32))
(+ (* -2 (log 2)) (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (+ (* -1/4 (/ (pow (fabs x) 2) s)) (* 1/2 (/ (pow (fabs x) 2) s))))) s)))
(fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x x) s) #s(literal 0 binary32)) (neg.f32 s)))
(+ (* -2 (log 2)) (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/3 (/ (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3)))) s))) s)))) s)))
(fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) #s(literal 0 binary32)) s) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) s)) (neg.f32 s)))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (+ 1/4 (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s))) s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (+ 1/4 (+ (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))) (pow s 2))))) s)
(/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s)
(/ (+ 1/4 (+ (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)) (+ (* 1/4 (/ (+ (* -1 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/3 (+ (* -1/2 (pow (fabs x) 3)) (+ (* -1/4 (pow (fabs x) 3)) (* 3/4 (pow (fabs x) 3))))) (* 1/6 (pow (+ (fabs x) (* -1 (fabs x))) 3)))) (pow s 3))) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))) (pow s 2)))))) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))) #s(literal 1/4 binary32)) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)) 1/4) s))
(/.f32 #s(literal 1/4 binary32) s)
(* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (fabs x) (* -1 (fabs x)))) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))) s))) s)) 1/4) s))
(/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) s) #s(literal 1/4 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2)))) (* 1/4 (/ (+ (* -1 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/3 (+ (* -3/4 (pow (fabs x) 3)) (+ (* 1/4 (pow (fabs x) 3)) (* 1/2 (pow (fabs x) 3))))) (* 1/6 (pow (+ (fabs x) (* -1 (fabs x))) 3)))) s))) s)) (* -1/4 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s))
(neg.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (neg.f32 (/.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 x (*.f32 x (fabs.f32 x))) #s(literal 0 binary32)) #s(literal 0 binary32)) s) (*.f32 #s(literal -1/4 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (neg.f32 s)) s))) s))
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/ (exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
(exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
(exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
(exp (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (* -1 (/ (fabs x) s))))
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s))))
1/4
#s(literal 1/4 binary32)
(+ 1/4 (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)))
#s(literal 1/4 binary32)
(+ 1/4 (+ (* 1/4 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (* 1/2 (pow (+ (fabs x) (* -1 (fabs x))) 2))) (pow s 2)))))
(fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 s s)) #s(literal 1/4 binary32))
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1/4
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(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -2 (pow (fabs x) 2)) (* -1 (pow (fabs x) 2))) s))) s)) 4)))
(neg.f32 (*.f32 s (+.f32 #s(literal -4 binary32) (/.f32 (-.f32 (*.f32 (fabs.f32 x) #s(literal -4 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal -3 binary32)) s)) (neg.f32 s)))))
(* -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)))
(*.f32 (+.f32 #s(literal -4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal -4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -3 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -5/3 binary32))) (neg.f32 s))) (neg.f32 s))) (neg.f32 s))) (neg.f32 s))

rewrite378.0ms (2.9%)

Memory
25.2MiB live, 729.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 348×lower-/.f64
4 326×lower-/.f32
4 296×lower-*.f64
4 282×lower-*.f32
4 258×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079719
0126706
1504640
23776620
09420605
Stop Event
iter limit
node limit
iter limit
Counts
27 → 644
Calls
Call 1
Inputs
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
(exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(/.f32 #s(literal 1 binary32) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))) s)
#s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))
(fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))
(/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s))
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s))))
#s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(neg.f32 (/.f32 (fabs.f32 x) s))
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))
(*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.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))
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))
(fabs.f32 x)
(/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s)
(*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))
(fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32))
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))
(*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))
Outputs
(+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(+.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(pow.f32 (/.f32 (fma.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (pow.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32))) (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (*.f32 s (*.f32 s s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)) (/.f32 (*.f32 x x) (*.f32 s s))) (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (*.f32 s (*.f32 s s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 4 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (neg.f32 (/.f32 (*.f32 x x) (*.f32 s s))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (pow.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (log.f32 (exp.f32 (neg.f32 (fabs.f32 x)))) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 x)) #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (fabs.f32 x) (neg.f32 (/.f32 #s(literal 1 binary32) s)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (neg.f32 (fabs.f32 x)) (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (neg.f32 (fabs.f32 x)) (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s))) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))
(fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (/.f32 (fabs.f32 x) s) (log.f32 (exp.f32 #s(literal -1 binary32))) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -2 binary32) (neg.f32 (/.f32 (fabs.f32 x) s)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 #s(literal -1 binary32) (log.f32 (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) s)) (fabs.f32 x) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) (fabs.f32 x) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))
(-.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 (fabs.f32 x) s))
(-.f32 #s(literal 0 binary32) (-.f32 (/.f32 (fabs.f32 x) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s))) (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s))))
(-.f32 (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) (/.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)) (+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))))
(-.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 0 binary32)) (/.f32 (fabs.f32 x) s))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (pow.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32))) (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)) (/.f32 (*.f32 x x) (*.f32 s s))) (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 4 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (neg.f32 (/.f32 (*.f32 x x) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (pow.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (pow.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32))) (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)) (/.f32 (*.f32 x x) (*.f32 s s))) (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 4 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (neg.f32 (/.f32 (*.f32 x x) (*.f32 s s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (pow.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32))))))
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (*.f32 s (*.f32 s s)))) (fma.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (pow.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 2 binary32))))
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (*.f32 s (*.f32 s s)))) (fma.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)) (/.f32 (*.f32 x x) (*.f32 s s))))
(/.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (neg.f32 (/.f32 (*.f32 x x) (*.f32 s s)))) (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (fabs.f32 x) s)))
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(/.f32 (*.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))) (fma.f32 s (-.f32 s (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))))
(/.f32 (*.f32 (fma.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (*.f32 s (neg.f32 s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) (fma.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (neg.f32 (fma.f32 s (-.f32 s (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))))
(/.f32 (neg.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) (fma.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (*.f32 s (neg.f32 s))))) (neg.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))) (neg.f32 (fma.f32 s (-.f32 s (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 s s) (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (*.f32 s (neg.f32 s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))) (neg.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 s))))
(*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))))
(*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))
(*.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) s)

eval175.0ms (1.4%)

Memory
-30.3MiB live, 383.3MiB allocated
Compiler

Compiled 50 079 to 4 161 computations (91.7% saved)

prune237.0ms (1.8%)

Memory
4.9MiB live, 442.1MiB allocated
Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New1 80461 810
Fresh01010
Picked235
Done044
Total1 806231 829
Accuracy
100.0%
Counts
1 829 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))))
99.8%
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (fabs.f32 x) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))) s)
99.8%
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
99.8%
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
39.5%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/16 binary32))))) s)) s)))) s)
69.6%
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
69.6%
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
22.7%
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(approx (- 1/4 (/ (neg (+ (* (fabs x) 1/4) (/ (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) s))) s)) (fma.f32 (*.f32 x x) (+.f32 (fma.f32 (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s s))) (fma.f32 #s(literal -3/16 binary32) (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -3/16 binary32) (*.f32 s s)))) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
99.8%
(/.f32 (exp.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
99.8%
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
96.8%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
88.7%
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))))) s)
16.4%
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 13/8 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -7/4 binary32))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))) s)
80.4%
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s)))) s)
80.4%
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
16.4%
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (pow (exp -1) (/ (fabs x) s))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/192 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) #s(literal 0 binary32)))) (neg.f32 s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)))) s)
27.2%
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32))) s)
21.5%
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))) s)
12.6%
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/256 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/16 binary32)) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))) s)
99.8%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s))))
80.4%
(exp.f32 (fma.f32 (log.f32 s) #s(literal -1 binary32) #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))))
80.4%
(exp.f32 (*.f32 (log.f32 (*.f32 s (exp.f32 (neg.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal -1 binary32)))
27.3%
#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 1 844 to 577 computations (68.7% saved)

regimes70.0ms (0.5%)

Memory
-4.8MiB live, 160.1MiB 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))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #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 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/256 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/16 binary32)) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) 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 #s(literal 4 binary32))))
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(literal 1/4 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (pow (exp -1) (/ (fabs x) s))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/192 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) #s(literal 0 binary32)))) (neg.f32 s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/16 binary32))))) s)) s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 (fma.f32 (log.f32 s) #s(literal -1 binary32) #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 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 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(approx (- 1/4 (/ (neg (+ (* (fabs x) 1/4) (/ (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) s))) s)) (fma.f32 (*.f32 x x) (+.f32 (fma.f32 (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s s))) (fma.f32 #s(literal -3/16 binary32) (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -3/16 binary32) (*.f32 s s)))) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s 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 (*.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 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 7/192 binary32))) (fma.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x))))) s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) (fabs.f32 x)) s)))))
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 13/8 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -7/4 binary32))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))) s)
(exp.f32 (*.f32 (log.f32 (*.f32 s (exp.f32 (neg.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal -1 binary32)))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(/.f32 (exp.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(/.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal -1 binary32) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (neg.f32 s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (fabs.f32 x) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.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 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)))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.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 (pow.f32 (exp.f32 #s(literal 1 binary32)) (neg.f32 (/.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 (pow.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Calls

5 calls:

14.0ms
s
13.0ms
(neg.f32 (fabs.f32 x))
13.0ms
(fabs.f32 x)
13.0ms
x
11.0ms
(/.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
99.8%1x
99.8%1s
99.8%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)))))
99.8%1(neg.f32 (fabs.f32 x))
99.8%1(fabs.f32 x)
Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes56.0ms (0.4%)

Memory
17.2MiB live, 92.9MiB allocated
Counts
41 → 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))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #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 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/256 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/16 binary32)) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) 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 #s(literal 4 binary32))))
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(literal 1/4 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (pow (exp -1) (/ (fabs x) s))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/192 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) #s(literal 0 binary32)))) (neg.f32 s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/16 binary32))))) s)) s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 (fma.f32 (log.f32 s) #s(literal -1 binary32) #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 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 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(approx (- 1/4 (/ (neg (+ (* (fabs x) 1/4) (/ (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) s))) s)) (fma.f32 (*.f32 x x) (+.f32 (fma.f32 (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s s))) (fma.f32 #s(literal -3/16 binary32) (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -3/16 binary32) (*.f32 s s)))) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s 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 (*.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 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 7/192 binary32))) (fma.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x))))) s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) (fabs.f32 x)) s)))))
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 13/8 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -7/4 binary32))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))) s)
(exp.f32 (*.f32 (log.f32 (*.f32 s (exp.f32 (neg.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal -1 binary32)))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(/.f32 (exp.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
(/.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (fabs.f32 x)) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(/.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (fabs.f32 x) s)))
(/.f32 #s(literal -1 binary32) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (neg.f32 s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (fabs.f32 x) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))) s)
Outputs
(/.f32 (exp.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
Calls

5 calls:

11.0ms
x
11.0ms
(fabs.f32 x)
11.0ms
s
11.0ms
(neg.f32 (fabs.f32 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
99.8%1x
99.8%1s
99.8%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)))))
99.8%1(neg.f32 (fabs.f32 x))
99.8%1(fabs.f32 x)
Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes45.0ms (0.4%)

Memory
3.9MiB live, 85.3MiB allocated
Counts
32 → 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))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #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 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/256 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/16 binary32)) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) 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 #s(literal 4 binary32))))
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(literal 1/4 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (pow (exp -1) (/ (fabs x) s))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/192 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) #s(literal 0 binary32)))) (neg.f32 s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/16 binary32))))) s)) s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 (fma.f32 (log.f32 s) #s(literal -1 binary32) #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 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 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(approx (- 1/4 (/ (neg (+ (* (fabs x) 1/4) (/ (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) s))) s)) (fma.f32 (*.f32 x x) (+.f32 (fma.f32 (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s s))) (fma.f32 #s(literal -3/16 binary32) (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -3/16 binary32) (*.f32 s s)))) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s 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 (*.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 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 7/192 binary32))) (fma.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x))))) s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) (fabs.f32 x)) s)))))
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 13/8 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -7/4 binary32))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))) s)
(exp.f32 (*.f32 (log.f32 (*.f32 s (exp.f32 (neg.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal -1 binary32)))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(*.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -2 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
Outputs
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
Calls

5 calls:

10.0ms
x
9.0ms
(neg.f32 (fabs.f32 x))
9.0ms
s
9.0ms
(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
99.8%1x
99.8%1s
99.8%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)))))
99.8%1(neg.f32 (fabs.f32 x))
99.8%1(fabs.f32 x)
Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes42.0ms (0.3%)

Memory
5.4MiB live, 81.6MiB allocated
Counts
29 → 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))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #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 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/256 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/16 binary32)) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) 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 #s(literal 4 binary32))))
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(literal 1/4 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (pow (exp -1) (/ (fabs x) s))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/192 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) #s(literal 0 binary32)))) (neg.f32 s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/16 binary32))))) s)) s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 (fma.f32 (log.f32 s) #s(literal -1 binary32) #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 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 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(approx (- 1/4 (/ (neg (+ (* (fabs x) 1/4) (/ (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) s))) s)) (fma.f32 (*.f32 x x) (+.f32 (fma.f32 (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s s))) (fma.f32 #s(literal -3/16 binary32) (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -3/16 binary32) (*.f32 s s)))) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s 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 (*.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 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32))) s) (fma.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (fma.f32 (fabs.f32 x) (/.f32 (*.f32 (*.f32 x x) #s(literal -3/16 binary32)) s) (fma.f32 #s(literal 1/4 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal -3/16 binary32)))))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 7/192 binary32))) (fma.f32 (fabs.f32 x) (fma.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/16 binary32)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x))))) s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) 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 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (fabs.f32 x) (/.f32 (*.f32 x x) s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) (fabs.f32 x)) s)))))
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (-.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 13/8 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -7/4 binary32))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))) s)
(exp.f32 (*.f32 (log.f32 (*.f32 s (exp.f32 (neg.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
Calls

5 calls:

10.0ms
(fabs.f32 x)
9.0ms
s
8.0ms
(neg.f32 (fabs.f32 x))
8.0ms
x
6.0ms
(/.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
96.8%1x
96.8%1s
96.8%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)))))
96.8%1(neg.f32 (fabs.f32 x))
96.8%1(fabs.f32 x)
Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes45.0ms (0.4%)

Memory
0.6MiB live, 38.7MiB allocated
Counts
21 → 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))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #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 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/256 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/16 binary32)) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) 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 #s(literal 4 binary32))))
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(literal 1/4 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (pow (exp -1) (/ (fabs x) s))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/192 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) #s(literal 0 binary32)))) (neg.f32 s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/16 binary32))))) s)) s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 (fma.f32 (log.f32 s) #s(literal -1 binary32) #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 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 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(approx (- 1/4 (/ (neg (+ (* (fabs x) 1/4) (/ (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) s))) s)) (fma.f32 (*.f32 x x) (+.f32 (fma.f32 (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s s))) (fma.f32 #s(literal -3/16 binary32) (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -3/16 binary32) (*.f32 s s)))) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
Calls

5 calls:

19.0ms
(/.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)))))
6.0ms
s
6.0ms
(neg.f32 (fabs.f32 x))
6.0ms
(fabs.f32 x)
6.0ms
x
Results
AccuracySegmentsBranch
96.8%1x
96.8%1s
96.8%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)))))
96.8%1(neg.f32 (fabs.f32 x))
96.8%1(fabs.f32 x)
Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes45.0ms (0.4%)

Memory
6.4MiB live, 49.7MiB allocated
Counts
20 → 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))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #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 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/256 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/16 binary32)) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) 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 #s(literal 4 binary32))))
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(literal 1/4 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (pow (exp -1) (/ (fabs x) s))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/192 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) #s(literal 0 binary32)))) (neg.f32 s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/16 binary32))))) s)) s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 (fma.f32 (log.f32 s) #s(literal -1 binary32) #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 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 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(approx (- 1/4 (/ (neg (+ (* (fabs x) 1/4) (/ (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) s))) s)) (fma.f32 (*.f32 x x) (+.f32 (fma.f32 (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s s))) (fma.f32 #s(literal -3/16 binary32) (/.f32 (fabs.f32 x) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -3/16 binary32) (*.f32 s s)))) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
Calls

5 calls:

21.0ms
(neg.f32 (fabs.f32 x))
6.0ms
s
6.0ms
x
6.0ms
(fabs.f32 x)
5.0ms
(/.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
95.4%1x
95.4%1s
95.4%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)))))
95.4%1(neg.f32 (fabs.f32 x))
95.4%1(fabs.f32 x)
Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes29.0ms (0.2%)

Memory
-15.4MiB live, 60.1MiB allocated
Counts
17 → 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))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #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 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/256 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/16 binary32)) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) 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 #s(literal 4 binary32))))
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) #s(literal 1/4 binary32)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (pow (exp -1) (/ (fabs x) s))) (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 7/192 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 #s(literal 3/4 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) #s(literal 0 binary32)))) (neg.f32 s)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 x (*.f32 x (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/16 binary32))))) s)) s)))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (-.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (fabs x) (/ (+ (* 1/4 (* x x)) (* (* x x) -3/16)) s)) (+ (* 5/48 (* (fabs x) (/ (* x x) s))) (+ (* (fabs x) (/ (* (* x x) -3/16) s)) (+ (* 1/4 (* x x)) (* (* x x) -3/16))))) (*.f32 (*.f32 x x) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/48 binary32) #s(literal 1/16 binary32)))) s))) s))) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(exp.f32 (fma.f32 (log.f32 s) #s(literal -1 binary32) #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/4 binary32) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))))) s)
(/.f32 (*.f32 #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (fma.f32 (fabs.f32 x) (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/4 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s))) 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 #s(literal 4 binary32))))
Calls

5 calls:

7.0ms
x
6.0ms
(fabs.f32 x)
5.0ms
(neg.f32 (fabs.f32 x))
5.0ms
s
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
95.1%1x
95.1%1s
95.1%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)))))
95.1%1(neg.f32 (fabs.f32 x))
95.1%1(fabs.f32 x)
Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes16.0ms (0.1%)

Memory
-4.8MiB live, 33.7MiB allocated
Counts
8 → 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))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #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 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/256 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/16 binary32)) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s)))) s)
Outputs
(/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32))) s)
Calls

5 calls:

4.0ms
x
3.0ms
(fabs.f32 x)
3.0ms
(neg.f32 (fabs.f32 x))
3.0ms
s
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
88.2%2x
80.4%1s
97.8%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)))))
88.2%2(neg.f32 (fabs.f32 x))
88.2%2(fabs.f32 x)
Compiler

Compiled 43 to 22 computations (48.8% saved)

regimes13.0ms (0.1%)

Memory
32.6MiB live, 32.6MiB allocated
Accuracy

Total -4.8b remaining (-20.6%)

Threshold costs -4.8b (-20.6%)

Counts
6 → 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))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 x (/.f32 (*.f32 x #s(literal -1/16 binary32)) (*.f32 s s)) #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 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s))) s))
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/256 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/16 binary32)) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #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:

3.0ms
(fabs.f32 x)
2.0ms
s
2.0ms
(neg.f32 (fabs.f32 x))
2.0ms
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
27.3%1s
27.3%1x
27.3%1(neg.f32 (fabs.f32 x))
27.3%1(fabs.f32 x)
27.3%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 43 to 22 computations (48.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.2982933223247528
Compiler

Compiled 31 to 16 computations (48.4% saved)

simplify12.0ms (0.1%)

Memory
-30.0MiB live, 12.7MiB allocated
Algorithm
egg-herbie
Rules
24×*-commutative_binary32
10×+-commutative_binary32
sub-neg_binary32
neg-sub0_binary32
neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076297
197297
2104297
3108297
4109297
Stop Event
saturated
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) 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 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s 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 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.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 #s(literal 4 binary32))))
(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)) (/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s) (/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #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 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))
(/.f32 (exp.f32 (fma.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s) (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (/.f32 (fabs.f32 x) s)))) 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 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) #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 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s 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 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.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 #s(literal 4 binary32))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 s #s(literal 4 binary32))))
(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)) (/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s) (/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32))) s))
(if (<=.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))) #s(literal 0 binary32)) (/.f32 (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (neg (/ (fabs x) s)))))) (neg (/ (fabs x) s))) (neg.f32 (/.f32 (fabs.f32 x) s)))) s) (/.f32 #s(approx (* (pow (+ (exp (neg (/ (fabs x) s))) 1) -2) (exp (neg (/ (fabs x) s)))) (fma.f32 (/.f32 x s) (/.f32 (*.f32 x #s(literal -1/16 binary32)) s) #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))

soundness1.4s (10.5%)

Memory
49.2MiB live, 1 107.0MiB allocated
Rules
26 522×lower-fma.f64
26 522×lower-fma.f32
16 984×lower-fma.f64
16 984×lower-fma.f32
12 276×lower-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03819230
112137571
241096786
084776626
042301
071298
1254261
21379257
08567252
01174
01974
17460
247359
3527758
0822958
054310310
116659031
260897943
087177601
064450
0115439
1426403
23280389
08736382
02302020
17011883
222991718
090661661
079719
0126706
1504640
23776620
09420605
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 857 to 279 computations (67.4% saved)

preprocess164.0ms (1.3%)

Memory
-28.0MiB live, 86.3MiB allocated
Remove

(abs x)

Compiler

Compiled 772 to 250 computations (67.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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