Logistic function

Time bar (total: 10.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze45.0ms (0.4%)

Memory
2.7MiB live, 90.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.7s (17.2%)

Memory
21.2MiB live, 2 002.8MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 935.0ms
ival-div: 320.0ms (34.2% of total)
const: 191.0ms (20.4% of total)
ival-neg: 125.0ms (13.4% of total)
ival-exp: 113.0ms (12.1% of total)
ival-<=: 91.0ms (9.7% of total)
ival-add: 69.0ms (7.4% of total)
ival-and: 12.0ms (1.3% of total)
exact: 11.0ms (1.2% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain92.0ms (0.9%)

Memory
-30.5MiB live, 209.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
17(1.6335237731158985e-34 3.0779594757453523e-37)1(-1.2564567430840088e-26 2.0878768193271406e-28)(exp.f32 (/.f32 (neg.f32 x) s))
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
00-0-(neg.f32 x)
00-0-(/.f32 (neg.f32 x) s)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 x) s))sensitivity74
Confusion
Predicted +Predicted -
+01
-7248
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-73245
Precision?
0.09090909090909091
Recall?
1.0
Freqs
test
numberfreq
0249
17
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 103 to 40 computations (61.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 7.0ms (38.9% of total)
ival-exp: 4.0ms (22.3% of total)
ival-neg: 3.0ms (16.7% of total)
ival-add: 2.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess30.0ms (0.3%)

Memory
15.3MiB live, 54.8MiB allocated
Algorithm
egg-herbie
Rules
204×exp-prod
124×exp-sum
120×times-frac
92×associate-/r*
66×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02041
15041
211341
327141
455441
572141
679341
784241
890141
990341
089
0139
1219
2319
3449
4569
5709
6919
71129
81169
01169
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify6.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (neg.f32 x) s)
cost-diff0
(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff0
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Rules
32×lower-*.f64
32×lower-+.f64
32×lower-*.f32
30×lower-+.f32
26×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
01330
12130
23130
34430
45630
57030
69130
711230
811630
011630
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s

localize23.0ms (0.2%)

Memory
-31.2MiB live, 47.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f32 x)
accuracy0.0234375
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy0.0390625
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy0.06486967399835752
(exp.f32 (/.f32 (neg.f32 x) s))
Samples
16.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (35.9% of total)
ival-exp: 2.0ms (23.9% of total)
ival-add: 1.0ms (12% of total)
ival-neg: 1.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
26.8MiB live, 26.8MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())
#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())
Outputs
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ x s))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ x s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ x s))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
Calls

6 calls:

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

simplify251.0ms (2.5%)

Memory
-21.0MiB live, 371.1MiB allocated
Algorithm
egg-herbie
Rules
40 054×lower-fma.f64
40 054×lower-fma.f32
4 544×lower-*.f64
4 544×lower-*.f32
2 942×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140857
1378768
21150742
33902722
08435682
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/480 binary32) x) (/.f32 x (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)

rewrite165.0ms (1.7%)

Memory
18.3MiB live, 374.0MiB allocated
Rules
4 358×lower-/.f64
4 354×lower-/.f32
3 830×lower-fma.f64
3 830×lower-fma.f32
3 688×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
14827
225527
3210127
0846526
Stop Event
iter limit
node limit
iter limit
Counts
5 → 710
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
Outputs
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (fma.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (fma.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (fma.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) #s(literal -1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))) (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
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(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) s) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) #s(literal 0 binary32))
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(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) s) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (neg.f32 x) x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 x #s(literal -2 binary32)) (neg.f32 s)) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (neg.f32 x)) (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 0 binary32))
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(fma.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 x #s(literal -2 binary32)) s) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 s (neg.f32 (*.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 s (pow.f32 (neg.f32 x) #s(literal 3 binary32))) #s(literal -1 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s) #s(literal 0 binary32))
(fma.f32 (/.f32 x #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))
(fma.f32 (pow.f32 (neg.f32 x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) (log.f32 (exp.f32 x)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 0 binary32))
(fma.f32 (/.f32 x s) (log.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32) (/.f32 (neg.f32 x) s))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -1 binary32) x)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 x) s) (log.f32 (E.f32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s))) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))
(fma.f32 x (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 0 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 (neg.f32 s) x))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (/.f32 s x) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32))
(+.f32 (log.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)))) (log.f32 (pow.f32 (exp.f32 (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) (/.f32 (neg.f32 x) s))
(+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (neg.f32 s) x)) #s(literal -1 binary32)))
(neg.f32 (log.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
(neg.f32 (/.f32 x s))
(log.f32 (exp.f32 (neg.f32 x)))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)))
(*.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (neg.f32 x)) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal -2 binary32)))
(*.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (pow.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)))
(*.f32 #s(literal -1 binary32) x)
(*.f32 (neg.f32 x) #s(literal 1 binary32))
(*.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))))
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(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 x x)))) x)
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (neg.f32 x))
(/.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) x)
(/.f32 (neg.f32 (*.f32 x x)) x)
(/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x x) #s(literal 0 binary32))))
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(/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x x) #s(literal 0 binary32)))))
(/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (*.f32 x x)))
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(-.f32 (/.f32 #s(literal 0 binary32) x) x)
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(-.f32 #s(literal 0 binary32) (log.f32 (exp.f32 x)))
(-.f32 #s(literal 0 binary32) x)
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(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (neg.f32 x)) (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32))
(fma.f32 (neg.f32 x) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 x) #s(literal 0 binary32))
(pow.f32 (/.f32 x (neg.f32 (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 (*.f32 x x)) (pow.f32 x #s(literal 3 binary32))) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(+.f32 (neg.f32 x) #s(literal 0 binary32))
(neg.f32 (log.f32 (exp.f32 x)))
(neg.f32 x)

eval138.0ms (1.4%)

Memory
-7.7MiB live, 296.6MiB allocated
Compiler

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

prune110.0ms (1.1%)

Memory
7.2MiB live, 368.3MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New80315818
Fresh000
Picked011
Done000
Total80316819
Accuracy
99.9%
Counts
819 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
99.1%
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
43.7%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
45.5%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
48.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32))) (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
45.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
99.0%
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1/2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
45.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 437 to 332 computations (24% saved)

simplify165.0ms (1.7%)

Memory
-2.5MiB live, 277.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff0
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
cost-diff0
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
cost-diff6112
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
cost-diff0
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
cost-diff352
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
cost-diff0
(-.f32 #s(literal 1 binary32) (/.f32 x s))
cost-diff0
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
cost-diff0
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
cost-diff0
(E.f32)
cost-diff0
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
Rules
14 372×lower-fma.f64
14 366×lower-fma.f32
3 918×lower-*.f64
3 918×lower-*.f32
1 886×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036250
060250
191248
2169248
3311248
4578248
5932248
61773248
73514248
85059244
08354240
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(E.f32)
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 x s) s)
(/.f32 x s)
x
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(literal 2 binary32)
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 1 binary32)
#s(literal -1/2 binary32)
#s(literal 2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
(+.f32 (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(E.f32)
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))
(+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) s)
(/.f32 (/.f32 x s) s)
(/.f32 x s)
x
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(literal 2 binary32)
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 1 binary32)
#s(literal -1/2 binary32)
#s(literal 2 binary32)

localize142.0ms (1.4%)

Memory
-26.1MiB live, 206.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
accuracy0.06486967399835752
(exp.f32 (/.f32 (neg.f32 x) s))
accuracy0.11392658705800233
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
accuracy0.248378759768442
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
accuracy13.844412397734821
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
accuracy27.968596686869375
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
accuracy28.33198221592939
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
accuracy28.70387295102319
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy0.00390625
(-.f32 #s(literal 1 binary32) (/.f32 x s))
accuracy0.0234375
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))
accuracy0.0390625
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
accuracy17.721018669324096
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
accuracy19.571877319687967
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy0
(E.f32)
accuracy0.0234375
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
accuracy0.0390625
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
accuracy0.08604726684381954
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
Samples
85.0ms256×0valid
Compiler

Compiled 200 to 32 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
const: 22.0ms (31.2% of total)
ival-div: 13.0ms (18.4% of total)
ival-pow: 10.0ms (14.2% of total)
ival-add: 7.0ms (9.9% of total)
ival-mult: 5.0ms (7.1% of total)
ival-e: 5.0ms (7.1% of total)
ival-pow2: 3.0ms (4.3% of total)
ival-exp: 2.0ms (2.8% of total)
ival-sub: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory
-6.6MiB live, 77.5MiB allocated
Counts
18 → 408
Calls
Call 1
Inputs
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())
#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())
#s(alt (E.f32) (patch (E.f32) #<representation binary32>) () ())
#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) (patch #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (/.f32 x s)) (patch (-.f32 #s(literal 1 binary32) (/.f32 x s)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) (patch (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (patch (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())
Outputs
#s(alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ (* x (log (E))) s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ (* x (log (E))) s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ (* x (log (E))) s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ (* x (log (E))) s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (* x (log (E))) s))) (taylor 0 s) (#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (* x (log (E))) s))) (taylor 0 s) (#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (* x (log (E))) s))) (taylor 0 s) (#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (* x (log (E))) s))) (taylor 0 s) (#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) (patch #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) (patch #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) (patch #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) (patch #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 x s)) (patch (-.f32 #s(literal 1 binary32) (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (/ (- s x) s) (taylor 0 s) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 x s)) (patch (-.f32 #s(literal 1 binary32) (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (/ (- s x) s) (taylor 0 s) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 x s)) (patch (-.f32 #s(literal 1 binary32) (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (/ (- s x) s) (taylor 0 s) (#s(alt (-.f32 #s(literal 1 binary32) (/.f32 x s)) (patch (-.f32 #s(literal 1 binary32) (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (/ (pow x 2) (pow s 3))) (taylor 0 s) (#s(alt (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) #<representation binary32>) () ())) ())
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#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (pow (E) (/ (neg x) s)) (E) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 2) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (+ (* -1/6 (/ x s)) 1/2))
4.0ms
s
@0
((/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (pow (E) (/ (neg x) s)) (E) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 2) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (+ (* -1/6 (/ x s)) 1/2))
3.0ms
x
@-inf
((/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (pow (E) (/ (neg x) s)) (E) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 2) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (+ (* -1/6 (/ x s)) 1/2))
3.0ms
s
@inf
((/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (pow (E) (/ (neg x) s)) (E) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 2) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (+ (* -1/6 (/ x s)) 1/2))
2.0ms
s
@-inf
((/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (pow (E) (/ (neg x) s)) (E) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 2) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (+ (* -1/6 (/ x s)) 1/2))

simplify187.0ms (1.9%)

Memory
44.1MiB live, 235.4MiB allocated
Algorithm
egg-herbie
Rules
12 360×lower-fma.f64
12 360×lower-fma.f32
4 518×lower-*.f64
4 518×lower-*.f32
4 072×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04665122
114263933
244123794
087693613
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
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(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(/ (- s x) s)
(/ (- s x) s)
(/ (- s x) s)
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1/6 (/ x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
1
(+ 1 (* -1 (/ (* x (log (E))) s)))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
1/2
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(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ x s)))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))
2
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(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
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(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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1/2
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1/2
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(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))
2
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(+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))
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1
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1/2
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
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2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
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(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ x s)))
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))
2
(+ 2 (* -1 (/ x s)))
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(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
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(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
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(+ 1/2 (* -1/6 (/ x s)))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
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(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
2
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(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))
1
(+ 1 (* -1 (/ (* x (log (E))) s)))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
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(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ x s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (/ 1 x) (/ 1 s)))
(* x (- (/ 1 x) (/ 1 s)))
(* x (- (/ 1 x) (/ 1 s)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(* -1 (* x (- (/ 1 s) (/ 1 x))))
(* -1 (* x (- (/ 1 s) (/ 1 x))))
(* -1 (* x (- (/ 1 s) (/ 1 x))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1/6 (/ x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
Outputs
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(/ (- s x) s)
(/.f32 (-.f32 s x) s)
(/ (- s x) s)
(/.f32 (-.f32 s x) s)
(/ (- s x) s)
(/.f32 (-.f32 s x) s)
(* -1/6 (/ (pow x 2) (pow s 3)))
(*.f32 (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/.f32 (fma.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x)) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32)))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(/.f32 (-.f32 s x) s)
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32)))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32)))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32)))))
(sqrt 1/2)
(sqrt.f32 #s(literal 1/2 binary32))
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32)))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))
(fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s) s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal 1/2 binary32))) (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (/.f32 x #s(literal 1/2 binary32))) #s(literal -1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (*.f32 s s))) (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(/.f32 (-.f32 s x) s)
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s)) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s)) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))
(sqrt 1/2)
(sqrt.f32 #s(literal 1/2 binary32))
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))
(-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/2 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32))) s))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))
(-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (/.f32 x #s(literal 1/2 binary32))) #s(literal 1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/2 binary32))) s)) s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
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#s(literal 1 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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#s(literal 1 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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#s(literal 1 binary32)
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1/2
#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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1/2
#s(literal 1/2 binary32)
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(sqrt 1/2)
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2
#s(literal 2 binary32)
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1
#s(literal 1 binary32)
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1/2
#s(literal 1/2 binary32)
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(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))))) (pow.f32 x #s(literal 3 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 (* x (- (/ 1 s) (/ 1 x))))
(/.f32 (-.f32 s x) s)
(* -1 (* x (- (/ 1 s) (/ 1 x))))
(/.f32 (-.f32 s x) s)
(* -1 (* x (- (/ 1 s) (/ 1 x))))
(/.f32 (-.f32 s x) s)
(* -1/6 (/ (pow x 2) (pow s 3)))
(*.f32 (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x)
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) x)
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) x)
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) x)

rewrite188.0ms (1.9%)

Memory
-2.3MiB live, 240.5MiB allocated
Rules
4 470×lower-/.f64
4 456×lower-/.f32
3 990×lower-fma.f64
3 984×lower-fma.f32
3 166×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036205
060206
1264200
22033200
08517200
Stop Event
iter limit
node limit
iter limit
Counts
18 → 748
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
(E.f32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
Outputs
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (-.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -3/4 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/4 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
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(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32))))
(fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/6 binary32) (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))

eval138.0ms (1.4%)

Memory
-14.9MiB live, 209.1MiB allocated
Compiler

Compiled 22 979 to 2 975 computations (87.1% saved)

prune199.0ms (2%)

Memory
-13.6MiB live, 437.2MiB allocated
Pruning

63 alts after pruning (59 fresh and 4 done)

PrunedKeptTotal
New1 102541 156
Fresh5510
Picked235
Done011
Total1 109631 172
Accuracy
99.9%
Counts
1 172 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(pow.f32 (pow.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
99.1%
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal 2 binary32))
38.2%
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal 2 binary32))
43.7%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
48.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32))) (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 3 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 (neg.f32 x) s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (/.f32 (neg.f32 x) s)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (neg.f32 x) s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))
45.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
45.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
45.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 s x)) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (/.f32 (neg.f32 x) s) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal 1/6 binary32) (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) x)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) (/.f32 (neg.f32 s) x)) (/.f32 #s(literal -1 binary32) s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 x s) (/.f32 (/.f32 x s) s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (*.f32 s #s(literal -1 binary32)) (*.f32 s #s(literal 1 binary32))) (*.f32 s (*.f32 s #s(literal -1 binary32)))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) s (*.f32 s (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)))) (*.f32 s s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32)))) (neg.f32 (*.f32 s s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (neg.f32 s) s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 s) s) (fma.f32 #s(literal 1 binary32) s (*.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)))))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
45.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))))
38.5%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
31.4%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)))
36.7%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 2 263 to 1 677 computations (25.9% saved)

simplify126.0ms (1.3%)

Memory
32.5MiB live, 107.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))))
cost-diff160
(*.f32 s #s(literal 1 binary32))
cost-diff224
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32)))))
cost-diff576
(fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32)))
cost-diff0
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
cost-diff352
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
cost-diff0
(/.f32 x s)
cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
cost-diff0
(/.f32 x s)
cost-diff0
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
cost-diff0
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
cost-diff0
(*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))))
cost-diff2912
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
Rules
8 602×lower-fma.f64
8 586×lower-fma.f32
3 452×lower-*.f64
3 442×lower-*.f32
1 678×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050523
089499
1165496
2425493
31366473
44712463
08322451
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(pow.f32 (E.f32) #s(literal 3/2 binary32))
(E.f32)
#s(literal 3/2 binary32)
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
#s(literal -1/2 binary32)
(/.f32 x s)
x
s
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(/.f32 x s)
x
s
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 x s) s)
(/.f32 x s)
x
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32)))))
(/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))
(*.f32 s (neg.f32 s))
s
(neg.f32 s)
(fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
#s(literal 1/2 binary32)
(*.f32 s #s(literal 1 binary32))
#s(literal 2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))))
(fma.f32 (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(pow.f32 (E.f32) #s(literal 3/2 binary32))
(E.f32)
#s(literal 3/2 binary32)
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(/.f32 x s)
x
s
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
s
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) s)
(/.f32 (/.f32 x s) s)
(/.f32 x s)
x
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))
(fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32)))))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) s)
(/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))
(/.f32 (*.f32 s s) (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s))
(*.f32 s (neg.f32 s))
(*.f32 (neg.f32 s) s)
s
(neg.f32 s)
(fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32)))
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x s)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
#s(literal 1/2 binary32)
(*.f32 s #s(literal 1 binary32))
s
#s(literal 2 binary32)

localize161.0ms (1.6%)

Memory
-21.9MiB live, 217.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy13.844412397734821
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)))
accuracy26.379708324136864
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))
accuracy28.67260832558756
(fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32)))
accuracy29.525507100006607
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy13.649018898698062
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
accuracy24.91432051236818
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
accuracy24.93309736103281
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
accuracy29.012834569574615
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy0.0390625
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
accuracy14.401432990399226
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
accuracy25.026558134044954
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
accuracy29.218670311235243
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
accuracy0
(/.f32 x s)
accuracy21.285921878376882
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
accuracy30.036725861051064
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy0.05859375
(*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
accuracy0.0713797375384935
(pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
accuracy0.07671507039559337
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
accuracy0.21970555640957073
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
Samples
120.0ms256×0valid
Compiler

Compiled 404 to 52 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 33.0ms (32.9% of total)
ival-div: 27.0ms (26.9% of total)
ival-pow: 12.0ms (12% of total)
ival-add: 11.0ms (11% of total)
const: 6.0ms (6% of total)
ival-exp: 4.0ms (4% of total)
ival-e: 2.0ms (2% of total)
ival-sqrt: 2.0ms (2% of total)
ival-neg: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series66.0ms (0.7%)

Memory
28.4MiB live, 65.4MiB allocated
Counts
25 → 588
Calls
Call 1
Inputs
#s(alt (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) (patch (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) (patch (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))) (patch (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))) (patch (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 s #s(literal 1 binary32)) (patch (*.f32 s #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (patch (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #<representation binary32>) () ())
#s(alt (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (patch (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (patch (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))) #<representation binary32>) () ())
Outputs
#s(alt (sqrt (exp (* -1/2 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) (patch (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (sqrt (exp (* -1/2 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) (patch (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (sqrt (exp (* -1/2 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) (patch (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (sqrt (exp (* -1/2 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) (patch (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) (patch (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) (patch (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) (patch (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) (patch (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* -1/6 (/ x s)) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (/ (pow x 3) (pow s 3))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (/ (pow x 3) (pow s 3))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((pow (exp (* -1/2 (/ x s))) 1/2) (+ 1 (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2))) (/ 1 (+ 1 (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2)))) (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)) (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) (* s 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (* -1/2 (/ x s))) (pow (pow (E) 3/2) (* -1/2 (/ x s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 1) (+ (* (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) x) 2) (+ 1 (exp (/ (neg x) s))))
5.0ms
s
@inf
((pow (exp (* -1/2 (/ x s))) 1/2) (+ 1 (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2))) (/ 1 (+ 1 (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2)))) (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)) (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) (* s 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (* -1/2 (/ x s))) (pow (pow (E) 3/2) (* -1/2 (/ x s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 1) (+ (* (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) x) 2) (+ 1 (exp (/ (neg x) s))))
5.0ms
s
@-inf
((pow (exp (* -1/2 (/ x s))) 1/2) (+ 1 (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2))) (/ 1 (+ 1 (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2)))) (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)) (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) (* s 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (* -1/2 (/ x s))) (pow (pow (E) 3/2) (* -1/2 (/ x s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 1) (+ (* (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) x) 2) (+ 1 (exp (/ (neg x) s))))
4.0ms
x
@0
((pow (exp (* -1/2 (/ x s))) 1/2) (+ 1 (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2))) (/ 1 (+ 1 (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2)))) (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)) (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) (* s 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (* -1/2 (/ x s))) (pow (pow (E) 3/2) (* -1/2 (/ x s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 1) (+ (* (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) x) 2) (+ 1 (exp (/ (neg x) s))))
4.0ms
x
@-inf
((pow (exp (* -1/2 (/ x s))) 1/2) (+ 1 (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2))) (/ 1 (+ 1 (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2)))) (* (pow (pow (E) 3/2) (* -1/2 (/ x s))) (pow (exp (* -1/2 (/ x s))) 1/2)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)) (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) (* s 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (* -1/2 (/ x s))) (pow (pow (E) 3/2) (* -1/2 (/ x s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 1) (+ (* (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) x) 2) (+ 1 (exp (/ (neg x) s))))

simplify215.0ms (2.2%)

Memory
2.8MiB live, 270.7MiB allocated
Algorithm
egg-herbie
Rules
10 900×lower-fma.f64
10 900×lower-fma.f32
5 910×lower-*.f64
5 910×lower-*.f32
3 904×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06608482
119677970
266727589
083047147
Stop Event
iter limit
node limit
Counts
588 → 573
Calls
Call 1
Inputs
(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
(+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))))
(+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))))
(+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))))
(+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))))
(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* 1/6 (/ (pow x 2) s))
(/ (+ (* -1/2 (* s x)) (* 1/6 (pow x 2))) s)
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s)
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s)
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1/2
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1/2
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(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
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s
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(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
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(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
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-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
1/2
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(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
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(+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))))
(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
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(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
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(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
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(exp (* -1 (/ x s)))
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(exp (* -1 (/ x s)))
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(* (pow x 2) (- (+ (* 1/6 (/ 1 s)) (/ s (pow x 2))) (* 1/2 (/ 1 x))))
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(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
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(sqrt (exp (* -1/2 (/ x s))))
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(+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))))
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(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
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(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
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(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
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(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
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(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ s x))) x)) (* 1/6 (/ 1 s))))
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(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1/6 (/ x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
Outputs
(sqrt (exp (* -1/2 (/ x s))))
(sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))
(sqrt (exp (* -1/2 (/ x s))))
(sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))
(sqrt (exp (* -1/2 (/ x s))))
(sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))
(sqrt (exp (* -1/2 (/ x s))))
(sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))
(+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))))
(fma.f32 (pow.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal 3 binary32))) (/.f32 x s)) #s(literal -1/2 binary32)) (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) #s(literal 1 binary32))
(+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))))
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#s(literal 1/2 binary32)
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s
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1
#s(literal 1 binary32)
(+ 1 (* x (- (* -1/2 (/ (log (sqrt (pow (E) 3))) s)) (* 1/4 (/ 1 s)))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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(+ 1/2 (* 1/4 (/ x s)))
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(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
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2
#s(literal 2 binary32)
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(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
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(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
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(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
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1/2
#s(literal 1/2 binary32)
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(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
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2
#s(literal 2 binary32)
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#s(literal 1 binary32)
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s
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1/2
#s(literal 1/2 binary32)
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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-1
#s(literal -1 binary32)
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
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(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
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1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
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(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
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(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
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(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
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(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal 3 binary32))) (/.f32 x s)) #s(literal -1/2 binary32)) (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) #s(literal 1 binary32)))
(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal 3 binary32))) (/.f32 x s)) #s(literal -1/2 binary32)) (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) #s(literal 1 binary32)))
(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal 3 binary32))) (/.f32 x s)) #s(literal -1/2 binary32)) (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) #s(literal 1 binary32)))
(/ 1 (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal 3 binary32))) (/.f32 x s)) #s(literal -1/2 binary32)) (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) #s(literal 1 binary32)))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
(*.f32 (pow.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal 3 binary32))) (/.f32 x s)) #s(literal -1/2 binary32)) (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
(*.f32 (pow.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal 3 binary32))) (/.f32 x s)) #s(literal -1/2 binary32)) (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
(*.f32 (pow.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal 3 binary32))) (/.f32 x s)) #s(literal -1/2 binary32)) (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))))
(* (sqrt (exp (* -1/2 (/ x s)))) (exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s))))
(*.f32 (pow.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal 3 binary32))) (/.f32 x s)) #s(literal -1/2 binary32)) (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(* 1/4 (/ x s))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* 1/2 (/ (pow x 2) (pow s 2)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)
(* -1/6 (/ (pow x 2) (pow s 3)))
(*.f32 (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x)
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* 1/6 (/ (pow x 2) s))
(*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/6 binary32))
(* (pow x 2) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ s x))) x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 s x)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ s x))) x)) (* 1/6 (/ 1 s))))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 s x)) x)) x) x)
(* -1/6 (/ (pow x 2) (pow s 3)))
(*.f32 (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x)
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(pow.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal 3 binary32))) (/.f32 x s)) #s(literal -1/2 binary32))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(pow.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal 3 binary32))) (/.f32 x s)) #s(literal -1/2 binary32))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(pow.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal 3 binary32))) (/.f32 x s)) #s(literal -1/2 binary32))
(exp (* -1/2 (/ (* x (log (sqrt (pow (E) 3)))) s)))
(pow.f32 (pow.f32 (sqrt.f32 (exp.f32 #s(literal 3 binary32))) (/.f32 x s)) #s(literal -1/2 binary32))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)))
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 x))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 x))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 x))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))

rewrite234.0ms (2.3%)

Memory
22.7MiB live, 294.4MiB allocated
Rules
6 022×lower-*.f64
6 012×lower-*.f32
3 916×lower-/.f64
3 896×lower-/.f32
3 044×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050420
089398
1401361
23179361
010210358
Stop Event
iter limit
node limit
iter limit
Counts
25 → 705
Calls
Call 1
Inputs
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
(*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32)))))
(*.f32 s #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32)))
Outputs
(*.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) (sqrt.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (E.f32))) (*.f32 #s(literal -3/4 binary32) (/.f32 x s))) (pow.f32 (cbrt.f32 (sqrt.f32 (E.f32))) (*.f32 #s(literal -3/4 binary32) (/.f32 x s))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2/3 binary32))) (*.f32 #s(literal -3/4 binary32) (/.f32 x s))) (pow.f32 (cbrt.f32 (cbrt.f32 (E.f32))) (*.f32 #s(literal -3/4 binary32) (/.f32 x s))))
(*.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/8 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/8 binary32)))
(*.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))
(sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
(pow.f32 (*.f32 (exp.f32 #s(literal -1/2 binary32)) (exp.f32 #s(literal -1/2 binary32))) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(pow.f32 (pow.f32 (cbrt.f32 (E.f32)) (*.f32 #s(literal 3/2 binary32) (/.f32 x s))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (cbrt.f32 (E.f32)) #s(literal -3/4 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (cbrt.f32 (E.f32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 3/2 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/4 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) x) (/.f32 #s(literal 1/2 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/8 binary32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(pow.f32 (cbrt.f32 (E.f32)) (*.f32 #s(literal -3/4 binary32) (/.f32 x s)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (*.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (*.f32 (/.f32 x s) #s(literal 1/2 binary32)))
(pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/4 binary32))
(pow.f32 (E.f32) (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -3/4 binary32) (/.f32 x s))))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)) #s(literal 1/2 binary32))
(fabs.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))
(exp.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/4 binary32))))
(exp.f32 (*.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -3/4 binary32) (/.f32 x s))))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/8 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))))
(*.f32 (+.f32 (pow.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) (expm1.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32))))
(*.f32 (+.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))) (exp.f32 (*.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32))))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))))
(/.f32 (expm1.f32 (*.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32))) (expm1.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) (expm1.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32)))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) (expm1.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (exp.f32 (*.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) (expm1.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (+.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32))) #s(literal -1 binary32))
(/.f32 (+.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) (expm1.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))) (/.f32 (exp.f32 (*.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))))
(fma.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/8 binary32)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) (*.f32 #s(literal 3/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))) (pow.f32 (exp.f32 #s(literal -3/4 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (fma.f32 #s(literal 3/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) (*.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))) (exp.f32 (fma.f32 #s(literal 3/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) (*.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/4 binary32)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/4 binary32) (*.f32 #s(literal 3/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))) (exp.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/4 binary32) (*.f32 #s(literal 3/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/8 binary32)) (exp.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/4 binary32) (*.f32 #s(literal -3/4 binary32) (/.f32 x s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal -3/4 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (exp.f32 (fma.f32 #s(literal 3/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal -3/4 binary32)) (/.f32 x s)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) (pow.f32 (exp.f32 #s(literal -3/4 binary32)) (/.f32 x s)) #s(literal 1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) (expm1.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (+.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))) #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
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(fma.f32 (/.f32 (/.f32 x s) s) (neg.f32 (fma.f32 (*.f32 (/.f32 (neg.f32 x) s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) #s(literal 2 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))
(fma.f32 x (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal -2 binary32)) (-.f32 (pow.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32)) #s(literal 4 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (-.f32 #s(literal 4 binary32) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) (*.f32 x #s(literal 2 binary32)))) (pow.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x))
(*.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(/.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) #s(literal -1 binary32))
(/.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))))
(pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) #s(literal 1 binary32))
(exp.f32 (neg.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) #s(literal -1 binary32))))

eval524.0ms (5.3%)

Memory
-167.6MiB live, 393.5MiB allocated
Compiler

Compiled 44 317 to 5 556 computations (87.5% saved)

prune251.0ms (2.5%)

Memory
-27.8MiB live, 576.6MiB allocated
Pruning

68 alts after pruning (64 fresh and 4 done)

PrunedKeptTotal
New1 678441 722
Fresh342054
Picked415
Done134
Total1 717681 785
Accuracy
100.0%
Counts
1 785 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal 2 binary32))
43.7%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #s(literal 1 binary32)))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 3 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 (neg.f32 x) s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -3/4 binary32) (/.f32 x s)))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal -3/4 binary32)) (/.f32 x s)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (neg.f32 s) (fma.f32 (*.f32 (/.f32 (neg.f32 x) s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (neg.f32 x) s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (*.f32 s s))) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))
45.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
45.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal 1/6 binary32) (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 x s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x s) s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)))) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (/.f32 x s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 s)) s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (neg.f32 s))))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (neg.f32 x) s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (*.f32 s s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))))
45.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
56.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))))
45.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x))))
29.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
31.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
38.8%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
33.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 2 139 to 1 647 computations (23% saved)

simplify160.0ms (1.6%)

Memory
5.4MiB live, 198.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))))
cost-diff512
(fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)))
cost-diff0
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x)
cost-diff0
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
cost-diff160
(fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
cost-diff0
(-.f32 #s(literal 1 binary32) (/.f32 x s))
cost-diff0
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
cost-diff96
(fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))
cost-diff0
(/.f32 x s)
cost-diff0
#s(approx (/ x s) (/.f32 x s))
cost-diff0
(fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))
cost-diff0
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))))
cost-diff192
(/.f32 (/.f32 x s) #s(literal 2 binary32))
cost-diff2912
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
cost-diff3360
(*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32)))
Rules
10 394×lower-fma.f64
10 380×lower-fma.f32
3 834×lower-*.f64
3 824×lower-*.f32
2 084×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050456
086430
1141427
2206427
3374423
4835423
51856417
63438417
75089417
87187417
08114407
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
(pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32)))
(exp.f32 #s(literal -3/4 binary32))
#s(literal -3/4 binary32)
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
s
#s(literal 2 binary32)
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
#s(literal -1/2 binary32)
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
#s(approx (/ x s) (/.f32 x s))
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x)
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
x
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))
(fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)))
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
s
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
#s(literal 1/2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (pow.f32 (exp.f32 #s(literal -3/2 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))))
(fma.f32 (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (pow.f32 (exp.f32 #s(literal -3/2 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))
(*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))) (pow.f32 (exp.f32 #s(literal -3/2 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)))
(pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -3/2 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))
(*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32)))
(exp.f32 #s(literal -3/2 binary32))
(exp.f32 #s(literal -3/4 binary32))
#s(literal -3/4 binary32)
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) x)
(/.f32 x s)
x
s
#s(literal 2 binary32)
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1/2 binary32) s))
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
(*.f32 (/.f32 #s(literal -1/2 binary32) s) x)
#s(literal -1/2 binary32)
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (/ x s) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))
(fma.f32 #s(approx (/ x s) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
#s(approx (/ x s) (/.f32 x s))
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))
(+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x)
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
x
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32))))
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32))
(fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) s)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
s
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))
(*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
#s(literal 1/2 binary32)

localize145.0ms (1.5%)

Memory
20.0MiB live, 266.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy13.649018898698062
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))
accuracy17.32111705337373
(fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)))
accuracy25.135416452413747
(fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32))
accuracy28.051603321979233
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy0.140625
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x)
accuracy14.401432990399226
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
accuracy21.0602843011913
(fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
accuracy29.768699097947707
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
accuracy0.00390625
(-.f32 #s(literal 1 binary32) (/.f32 x s))
accuracy0.0390625
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
accuracy17.721018669324096
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
accuracy19.90236862602334
(fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))
accuracy0
(/.f32 x s)
accuracy0
#s(approx (/ x s) (/.f32 x s))
accuracy21.285921878376882
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
accuracy29.781548996683163
(fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))
accuracy0.07671507039559337
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
accuracy0.08206940816111542
(pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
accuracy0.21970555640957073
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
accuracy1.0
(*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32)))
Samples
113.0ms256×0valid
Compiler

Compiled 345 to 50 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-add: 26.0ms (28.3% of total)
ival-mult: 26.0ms (28.3% of total)
ival-div: 19.0ms (20.7% of total)
ival-exp: 7.0ms (7.6% of total)
ival-pow: 5.0ms (5.4% of total)
const: 4.0ms (4.4% of total)
ival-sqrt: 2.0ms (2.2% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
0.7MiB live, 78.5MiB allocated
Counts
25 → 576
Calls
Call 1
Inputs
#s(alt (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (patch (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) #<representation binary32>) () ())
#s(alt (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) (patch (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 x s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 x s) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) (patch (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (/ x s) (/.f32 x s)) (patch #s(approx (/ x s) (/.f32 x s)) #<representation binary32>) () ())
#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)) (patch (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) (patch #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (/.f32 x s)) (patch (-.f32 #s(literal 1 binary32) (/.f32 x s)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (patch (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (patch (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) (patch (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (patch (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (patch (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (patch (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)) #<representation binary32>) () ())
Outputs
#s(alt (sqrt (exp (* -1/2 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) (patch (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (sqrt (exp (* -1/2 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) (patch (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (sqrt (exp (* -1/2 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) (patch (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (sqrt (exp (* -1/2 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) (patch (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (/.f32 x s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 x s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (/.f32 x s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 x s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (/.f32 x s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 x s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (/.f32 x s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 x s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s))))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) (patch (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s))))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) (patch (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s))))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) (patch (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s))))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) (patch (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/4 (/ x s)) (taylor 0 s) (#s(alt (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/4 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (patch (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (/ x s)) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (/ (pow x 3) (pow s 3))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
s
@inf
((* (exp -3/4) (exp -3/4)) (pow (exp (* -1/2 (/ x s))) 1/2) (/ (/ x s) 2) (+ 1 (* (pow (* (exp -3/4) (exp -3/4)) (/ (/ x s) 2)) (pow (exp (* -1/2 (/ x s))) 1/2))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ x s) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (* (+ (* (/ 1/2 s) x) -1) x) (/ 1 s)) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (+ (* (/ 1/2 s) x) -1) x) (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (pow (* (exp -3/4) (exp -3/4)) (/ (/ x s) 2)) (exp (* -1/2 (/ x s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) x) 1))
3.0ms
x
@inf
((* (exp -3/4) (exp -3/4)) (pow (exp (* -1/2 (/ x s))) 1/2) (/ (/ x s) 2) (+ 1 (* (pow (* (exp -3/4) (exp -3/4)) (/ (/ x s) 2)) (pow (exp (* -1/2 (/ x s))) 1/2))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ x s) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (* (+ (* (/ 1/2 s) x) -1) x) (/ 1 s)) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (+ (* (/ 1/2 s) x) -1) x) (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (pow (* (exp -3/4) (exp -3/4)) (/ (/ x s) 2)) (exp (* -1/2 (/ x s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) x) 1))
3.0ms
x
@-inf
((* (exp -3/4) (exp -3/4)) (pow (exp (* -1/2 (/ x s))) 1/2) (/ (/ x s) 2) (+ 1 (* (pow (* (exp -3/4) (exp -3/4)) (/ (/ x s) 2)) (pow (exp (* -1/2 (/ x s))) 1/2))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ x s) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (* (+ (* (/ 1/2 s) x) -1) x) (/ 1 s)) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (+ (* (/ 1/2 s) x) -1) x) (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (pow (* (exp -3/4) (exp -3/4)) (/ (/ x s) 2)) (exp (* -1/2 (/ x s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) x) 1))
2.0ms
s
@-inf
((* (exp -3/4) (exp -3/4)) (pow (exp (* -1/2 (/ x s))) 1/2) (/ (/ x s) 2) (+ 1 (* (pow (* (exp -3/4) (exp -3/4)) (/ (/ x s) 2)) (pow (exp (* -1/2 (/ x s))) 1/2))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ x s) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (* (+ (* (/ 1/2 s) x) -1) x) (/ 1 s)) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (+ (* (/ 1/2 s) x) -1) x) (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (pow (* (exp -3/4) (exp -3/4)) (/ (/ x s) 2)) (exp (* -1/2 (/ x s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) x) 1))
2.0ms
x
@0
((* (exp -3/4) (exp -3/4)) (pow (exp (* -1/2 (/ x s))) 1/2) (/ (/ x s) 2) (+ 1 (* (pow (* (exp -3/4) (exp -3/4)) (/ (/ x s) 2)) (pow (exp (* -1/2 (/ x s))) 1/2))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ x s) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (* (+ (* (/ 1/2 s) x) -1) x) (/ 1 s)) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (+ (* (/ 1/2 s) x) -1) x) (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (pow (* (exp -3/4) (exp -3/4)) (/ (/ x s) 2)) (exp (* -1/2 (/ x s))) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) x) 1))

simplify187.0ms (1.9%)

Memory
15.6MiB live, 208.3MiB allocated
Algorithm
egg-herbie
Rules
13 846×lower-fma.f64
13 846×lower-fma.f32
5 790×lower-*.f64
5 790×lower-*.f32
4 096×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05075989
114625493
245265017
081994737
Stop Event
iter limit
node limit
Counts
576 → 576
Calls
Call 1
Inputs
(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))))
(+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))))
(+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))))
(+ 1 (* (sqrt (exp (* -1/2 (/ x s)))) (exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(* -1 (/ x s))
(/ (- s x) s)
(/ (- s x) s)
(/ (- s x) s)
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)
(* -1/6 (/ (pow x 2) (pow s 3)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(* -1/6 (/ x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))))) (pow s 3))
1
(+ 1 (* -1/4 (/ x s)))
(+ 1 (+ (* -1/4 (/ x s)) (* 1/2 (/ (- (* 1/8 (pow x 2)) (* 1/16 (pow x 2))) (pow s 2)))))
(+ 1 (+ (* -1/4 (/ x s)) (+ (* 1/2 (/ (- (* -1/48 (pow x 3)) (* -1/4 (* x (- (* 1/8 (pow x 2)) (* 1/16 (pow x 2)))))) (pow s 3))) (* 1/2 (/ (- (* 1/8 (pow x 2)) (* 1/16 (pow x 2))) (pow s 2))))))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
(* 1/2 (/ x s))
2
(+ 2 (+ (* -1/4 (/ x s)) (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s))))
(+ 2 (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (* (pow x 2) (log (pow (exp -3/4) 2))) (pow s 2))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -3/4) 2)) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)) (* 1/2 (/ (- (* 1/8 (pow x 2)) (* 1/16 (pow x 2))) (pow s 2))))))))
(+ 2 (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (* (pow x 2) (log (pow (exp -3/4) 2))) (pow s 2))) (+ (* -1/32 (/ (* (pow x 3) (pow (log (pow (exp -3/4) 2)) 2)) (pow s 3))) (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -3/4) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -3/4) 2)) 2)) (pow s 2))) (+ (* 1/4 (/ (* x (* (log (pow (exp -3/4) 2)) (- (* 1/8 (pow x 2)) (* 1/16 (pow x 2))))) (pow s 3))) (+ (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)) (+ (* 1/2 (/ (- (* -1/48 (pow x 3)) (* -1/4 (* x (- (* 1/8 (pow x 2)) (* 1/16 (pow x 2)))))) (pow s 3))) (* 1/2 (/ (- (* 1/8 (pow x 2)) (* 1/16 (pow x 2))) (pow s 2))))))))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* 1/4 (/ x s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(* -1 x)
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(/ -1 s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(+ 1 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -3/4) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s))))
(+ 1 (+ (* 1/48 (/ (* (pow x 3) (pow (log (pow (exp -3/4) 2)) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -3/4) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))))
1
(+ 1 (* -1/2 (/ x s)))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
1/2
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1
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1/2
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2
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2
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(* -1 x)
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(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
1/2
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2
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1
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1
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1
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-1
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(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
1/2
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1
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(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
(* 1/2 (/ x s))
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(/ 1 (+ 1 (exp (* -1 (/ x s)))))
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(/ x s)
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(/ 1 (+ 1 (exp (* -1 (/ x s)))))
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(/ 1 (+ 1 (exp (* -1 (/ x s)))))
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(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
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(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
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(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (/ 1 (pow x 3))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
(sqrt (exp (* -1/2 (/ x s))))
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(* 1/2 (/ x s))
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(/ x s)
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(/ x s)
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(/ x s)
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(/ 1 (+ 1 (exp (* -1 (/ x s)))))
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(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(exp (* -1/2 (/ x s)))
(* 1/2 (/ x s))
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(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1/6 (/ x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
Outputs
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1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
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#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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(* -1 x)
(neg.f32 x)
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x)
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x)
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
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(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/48 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 s #s(literal 3 binary32)))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))
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1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
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(+ 1 (+ (* 1/8 (/ (* (pow x 2) (pow (log (pow (exp -3/4) 2)) 2)) (pow s 2))) (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s))))
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1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ x s)))
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-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/6 (/ x s)))
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(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
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#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(/.f32 (-.f32 s x) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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1
#s(literal 1 binary32)
(+ 1 (* -1/4 (/ x s)))
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(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/8 (pow x 2)) (* 1/16 (pow x 2))) s)) (* 1/4 x)) s)))
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(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (+ (* -1/2 (* x (log (pow (exp -3/4) 2)))) (* 1/4 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s))
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(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* x (* (log (pow (exp -3/4) 2)) (- (* 1/8 (pow x 2)) (* 1/16 (pow x 2)))))) (+ (* -1/48 (* (pow x 3) (pow (log (pow (exp -3/4) 2)) 3))) (+ (* 1/32 (* (pow x 3) (pow (log (pow (exp -3/4) 2)) 2))) (* 1/2 (- (* 1/48 (pow x 3)) (* 1/4 (* x (- (* 1/8 (pow x 2)) (* 1/16 (pow x 2)))))))))) s)) (+ (* -1/8 (* (pow x 2) (log (pow (exp -3/4) 2)))) (+ (* 1/8 (* (pow x 2) (pow (log (pow (exp -3/4) 2)) 2))) (* 1/2 (- (* 1/8 (pow x 2)) (* 1/16 (pow x 2))))))) s)) (+ (* -1/2 (* x (log (pow (exp -3/4) 2)))) (* 1/4 x))) s)))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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(+ 1/2 (* 1/4 (/ x s)))
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(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/ x s)
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(/ x s)
(/.f32 x s)
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(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
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(/.f32 x s)
(/ x s)
(/.f32 x s)
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#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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#s(literal 2 binary32)
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(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
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#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
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(* -1 x)
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
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#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
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#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
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#s(literal 1 binary32)
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#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
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1/2
#s(literal 1/2 binary32)
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(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
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#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
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#s(literal 1 binary32)
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(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
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(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
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2
#s(literal 2 binary32)
(+ 2 (* x (- (* 1/2 (/ (log (pow (exp -3/4) 2)) s)) (* 1/4 (/ 1 s)))))
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#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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(/.f32 x s)
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(/.f32 x s)
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(/.f32 x s)
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(/.f32 x s)
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#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
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1/2
#s(literal 1/2 binary32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
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1/2
#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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#s(literal 1 binary32)
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#s(literal -1 binary32)
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1/2
#s(literal 1/2 binary32)
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#s(literal 1 binary32)
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(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* 1/2 (/ (pow x 2) s))
(*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) x)
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) x)
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) x)
(* -1/6 (/ (pow x 2) (pow s 3)))
(*.f32 (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x)
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -3/4 binary32) s))
(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -3/4 binary32) s))
(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -3/4 binary32) s))
(exp (* 1/2 (/ (* x (log (pow (exp -3/4) 2))) s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -3/4 binary32) s))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(exp (* -1/2 (/ x s)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) s) (neg.f32 x) #s(literal -1 binary32))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) s) (neg.f32 x) #s(literal -1 binary32))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) s) (neg.f32 x) #s(literal -1 binary32))
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 s x) s)) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))

rewrite295.0ms (3%)

Memory
-42.5MiB live, 268.6MiB allocated
Rules
4 292×lower-fma.f64
4 278×lower-fma.f32
4 234×lower-/.f64
4 216×lower-/.f32
3 770×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049341
084320
1347317
22561312
09208304
Stop Event
iter limit
node limit
iter limit
Counts
25 → 709
Calls
Call 1
Inputs
(*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32))
#s(approx (/ x s) (/.f32 x s))
(/.f32 x s)
(fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x)
(fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))
(pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32))
Outputs
(*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32)))
(pow.f32 (exp.f32 #s(literal -3/2 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -3/4 binary32)) #s(literal 2 binary32))
(exp.f32 #s(literal -3/2 binary32))
(*.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) (sqrt.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))))
(*.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/8 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/8 binary32)))
(sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(pow.f32 (*.f32 (exp.f32 #s(literal -1/2 binary32)) (exp.f32 #s(literal -1/2 binary32))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) s)) x)
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) #s(literal 1/2 binary32)) (/.f32 x s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (neg.f32 x)) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/4 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) x) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) x) (/.f32 #s(literal 1/2 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/8 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))
(pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s)) #s(literal 1/2 binary32))
(fabs.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))
(exp.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/4 binary32))))
(exp.f32 (*.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/8 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) s))
(*.f32 (/.f32 x #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) s))
(*.f32 (pow.f32 (/.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (pow.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal -1/2 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) x)
(*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal 1/2 binary32))
(*.f32 x (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32)))
(*.f32 x (/.f32 #s(literal 1/2 binary32) s))
(*.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 (/.f32 x #s(literal 2 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 (neg.f32 x) #s(literal 1/2 binary32))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 (*.f32 #s(literal 2 binary32) s)))
(/.f32 (/.f32 x #s(literal 2 binary32)) s)
(/.f32 (*.f32 (neg.f32 x) #s(literal 1/2 binary32)) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 x #s(literal -1/2 binary32))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (neg.f32 s))
(/.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 s x)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (/.f32 s x) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 2 binary32) (/.f32 s x))))
(/.f32 (neg.f32 x) (neg.f32 (*.f32 #s(literal -2 binary32) (neg.f32 s))))
(/.f32 (neg.f32 x) (*.f32 #s(literal -2 binary32) s))
(/.f32 (neg.f32 x) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (neg.f32 x) (neg.f32 (*.f32 #s(literal 2 binary32) s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 s x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 s x)))
(/.f32 #s(literal 1/2 binary32) (/.f32 s x))
(/.f32 (/.f32 x s) #s(literal 2 binary32))
(/.f32 x (neg.f32 (*.f32 #s(literal -2 binary32) s)))
(/.f32 x (neg.f32 (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(/.f32 x (neg.f32 (neg.f32 (*.f32 #s(literal 2 binary32) s))))
(/.f32 x (*.f32 #s(literal -2 binary32) (neg.f32 s)))
(/.f32 x (*.f32 #s(literal 2 binary32) s))
(/.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 s) x))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) s)) (/.f32 x (*.f32 #s(literal -2 binary32) s)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 s))) (/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 #s(literal 2 binary32) s))) (/.f32 x (neg.f32 (*.f32 #s(literal 2 binary32) s))))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) s) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (neg.f32 s))) (/.f32 (neg.f32 x) (*.f32 #s(literal -2 binary32) (neg.f32 s))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) s)) (/.f32 (neg.f32 x) (*.f32 #s(literal 2 binary32) s)))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) s) #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 x s) #s(literal -2 binary32)))
(pow.f32 (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 s x)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 s x) #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 s x)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 2 binary32) (/.f32 s x))) #s(literal -1 binary32)))
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) x)) (pow.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 3 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
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(-.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32)) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal -1 binary32))))
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(fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
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(pow.f32 (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) x)) (pow.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) s)) x))

eval203.0ms (2%)

Memory
6.1MiB live, 352.6MiB allocated
Compiler

Compiled 35 319 to 4 979 computations (85.9% saved)

prune253.0ms (2.5%)

Memory
-13.3MiB live, 600.0MiB allocated
Pruning

76 alts after pruning (69 fresh and 7 done)

PrunedKeptTotal
New1 528271 555
Fresh174259
Picked145
Done134
Total1 547761 623
Accuracy
100.0%
Counts
1 623 → 76
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.7%
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32) #s(literal 1 binary32)))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
46.2%
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 3 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 (neg.f32 x) s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -3/4 binary32) (/.f32 x s)))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))))))
99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal -3/4 binary32)) (/.f32 x s)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (neg.f32 s) (fma.f32 (*.f32 (/.f32 (neg.f32 x) s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (neg.f32 x) s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (*.f32 s s))) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))))
38.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))
45.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (exp (/ (neg x) s)) 1) 1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
45.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (exp (/ (neg x) s)) 1) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
45.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
54.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (pow (* (exp -3/4) (exp -3/4)) (/ (/ x s) 2)) (pow (exp (* -1/2 (/ x s))) 1/2))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 5/16 binary32))) s)) s))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x s) s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (+.f32 (neg.f32 x) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x)) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
38.8%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
45.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
56.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))))
45.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x))))
31.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
29.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (* (+ (* (/ 1/2 s) x) -1) x) (/ 1 s)) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
34.4%
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
38.8%
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
30.8%
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (-.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
30.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
27.2%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
23.9%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 (neg.f32 x) (neg.f32 s))) #s(literal 1/2 binary32)))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
22.0%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (*.f32 (/.f32 #s(literal 1 binary32) s) x)) #s(literal 1/2 binary32)))
33.5%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(approx (/ x s) (/.f32 x s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
19.6%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
38.8%
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Compiler

Compiled 3 539 to 1 555 computations (56.1% saved)

regimes323.0ms (3.2%)

Memory
-9.7MiB live, 504.4MiB allocated
Counts
141 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(approx (/ x s) (/.f32 x s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 (neg.f32 x) (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (*.f32 (/.f32 #s(literal 1 binary32) s) x)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (exp (/ (neg x) s)) 1) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
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(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (neg.f32 s) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (/.f32 (neg.f32 x) s) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (/.f32 x s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 s)) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (*.f32 s #s(literal -1 binary32)) (*.f32 s #s(literal 1 binary32))) (*.f32 s (*.f32 s #s(literal -1 binary32)))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) x)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 s) s) (fma.f32 #s(literal 1 binary32) s (*.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)))))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (neg.f32 s) (fma.f32 (*.f32 (/.f32 (neg.f32 x) s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 x s) (/.f32 (/.f32 x s) s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x s) s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) (/.f32 (neg.f32 s) x)) (/.f32 #s(literal -1 binary32) s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (-.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 3 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 (neg.f32 x) s)))))
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal 2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal -3/4 binary32)) (/.f32 x s)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -3/4 binary32) (/.f32 x s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(pow.f32 (pow.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32))) (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (/.f32 (neg.f32 x) s)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
Calls

7 calls:

59.0ms
x
46.0ms
(neg.f32 x)
39.0ms
s
37.0ms
(/.f32 (neg.f32 x) s)
34.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1s
99.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.8%1(exp.f32 (/.f32 (neg.f32 x) s))
99.8%1(/.f32 (neg.f32 x) s)
99.8%1(neg.f32 x)
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes273.0ms (2.7%)

Memory
49.8MiB live, 475.9MiB allocated
Counts
138 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(approx (/ x s) (/.f32 x s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 (neg.f32 x) (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (*.f32 (/.f32 #s(literal 1 binary32) s) x)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (exp (/ (neg x) s)) 1) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
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(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (neg.f32 s) (fma.f32 (*.f32 (/.f32 (neg.f32 x) s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 x s) (/.f32 (/.f32 x s) s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x s) s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) (/.f32 (neg.f32 s) x)) (/.f32 #s(literal -1 binary32) s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (-.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 3 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 (neg.f32 x) s)))))
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal 2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal -3/4 binary32)) (/.f32 x s)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -3/4 binary32) (/.f32 x s)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(pow.f32 (pow.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32))) (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (/.f32 (neg.f32 x) s)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1/2 binary32)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -3/4 binary32) (/.f32 x s)))))))
Calls

7 calls:

43.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
42.0ms
(neg.f32 x)
41.0ms
s
38.0ms
x
38.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1s
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(neg.f32 x)
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes264.0ms (2.6%)

Memory
23.1MiB live, 505.5MiB allocated
Counts
130 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(approx (/ x s) (/.f32 x s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 (neg.f32 x) (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (*.f32 (/.f32 #s(literal 1 binary32) s) x)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (exp (/ (neg x) s)) 1) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (* (+ (* (/ 1/2 s) x) -1) x) (/ 1 s)) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (exp (/ (neg x) s)) 1) 1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
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(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal -3/4 binary32)) (/.f32 x s)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

42.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
40.0ms
s
40.0ms
x
37.0ms
(neg.f32 x)
34.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1s
99.7%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.7%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.7%1(exp.f32 (/.f32 (neg.f32 x) s))
99.7%1(/.f32 (neg.f32 x) s)
99.7%1(neg.f32 x)
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes240.0ms (2.4%)

Memory
-22.0MiB live, 425.6MiB allocated
Counts
117 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(approx (/ x s) (/.f32 x s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 (neg.f32 x) (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (*.f32 (/.f32 #s(literal 1 binary32) s) x)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (exp (/ (neg x) s)) 1) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (* (+ (* (/ 1/2 s) x) -1) x) (/ 1 s)) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (exp (/ (neg x) s)) 1) 1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (+.f32 (neg.f32 x) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x)) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (pow (* (exp -3/4) (exp -3/4)) (/ (/ x s) 2)) (pow (exp (* -1/2 (/ x s))) 1/2))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 x #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal 3/16 binary32) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 5/16 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (neg.f32 s))))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 x s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal 1/6 binary32) (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (neg.f32 x) s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) s (*.f32 s (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)))) (*.f32 s s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (neg.f32 x) s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (*.f32 s s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32)))) (neg.f32 (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 s x)) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (neg.f32 s) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (/.f32 (neg.f32 x) s) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (/.f32 x s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 s)) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (*.f32 s #s(literal -1 binary32)) (*.f32 s #s(literal 1 binary32))) (*.f32 s (*.f32 s #s(literal -1 binary32)))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) x)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 s) s) (fma.f32 #s(literal 1 binary32) s (*.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)))))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (neg.f32 s)) (fma.f32 (*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (neg.f32 s) (fma.f32 (*.f32 (/.f32 (neg.f32 x) s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 x s) (/.f32 (/.f32 x s) s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x s) s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) (/.f32 (neg.f32 s) x)) (/.f32 #s(literal -1 binary32) s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s))))
Calls

7 calls:

50.0ms
(neg.f32 x)
38.0ms
(/.f32 (neg.f32 x) s)
32.0ms
s
31.0ms
x
28.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
86.9%2x
63.1%2s
90.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
90.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
90.6%2(exp.f32 (/.f32 (neg.f32 x) s))
90.6%2(/.f32 (neg.f32 x) s)
86.9%2(neg.f32 x)
Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes106.0ms (1.1%)

Memory
7.3MiB live, 156.2MiB allocated
Counts
66 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(approx (/ x s) (/.f32 x s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 (neg.f32 x) (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (*.f32 (/.f32 #s(literal 1 binary32) s) x)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (exp (/ (neg x) s)) 1) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (* (+ (* (/ 1/2 s) x) -1) x) (/ 1 s)) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (neg.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (exp (/ (neg x) s)) 1) 1) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (+.f32 (neg.f32 x) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x)) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
Calls

4 calls:

42.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
27.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
19.0ms
(/.f32 (neg.f32 x) s)
14.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
91.4%3(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
91.4%3(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
91.4%3(exp.f32 (/.f32 (neg.f32 x) s))
91.4%3(/.f32 (neg.f32 x) s)
Compiler

Compiled 25 to 24 computations (4% saved)

regimes71.0ms (0.7%)

Memory
-16.3MiB live, 82.9MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(approx (/ x s) (/.f32 x s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 (neg.f32 x) (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (*.f32 (/.f32 #s(literal 1 binary32) s) x)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (exp (/ (neg x) s)) 1) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ -1 s) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) s) (/ x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
Calls

6 calls:

19.0ms
x
12.0ms
(/.f32 (neg.f32 x) s)
11.0ms
(neg.f32 x)
9.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
9.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
75.1%2x
75.1%2(neg.f32 x)
78.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
78.9%2(/.f32 (neg.f32 x) s)
78.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
78.9%2(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes24.0ms (0.2%)

Memory
31.2MiB live, 31.2MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(approx (/ x s) (/.f32 x s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 (neg.f32 x) (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (*.f32 (/.f32 #s(literal 1 binary32) s) x)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (exp (/ (neg x) s)) 1) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ 1 (/ (* s (neg s)) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) (neg s)) (* s 1)))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
Calls

4 calls:

6.0ms
(/.f32 (neg.f32 x) s)
5.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
78.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
78.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
78.9%2(exp.f32 (/.f32 (neg.f32 x) s))
78.9%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 25 to 24 computations (4% saved)

regimes28.0ms (0.3%)

Memory
-0.5MiB live, 37.9MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(approx (/ x s) (/.f32 x s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 (neg.f32 x) (neg.f32 s))) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (*.f32 (/.f32 #s(literal 1 binary32) s) x)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
Calls

6 calls:

5.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms
(neg.f32 x)
5.0ms
x
5.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
62.4%2(neg.f32 x)
62.4%2x
65.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.9%2(exp.f32 (/.f32 (neg.f32 x) s))
65.9%2(/.f32 (neg.f32 x) s)
65.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes11.0ms (0.1%)

Memory
-17.3MiB live, 21.1MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
Calls

4 calls:

3.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
64.4%2(/.f32 (neg.f32 x) s)
64.4%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
64.4%2(exp.f32 (/.f32 (neg.f32 x) s))
64.4%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 25 to 24 computations (4% saved)

regimes19.0ms (0.2%)

Memory
26.0MiB live, 64.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Calls

7 calls:

4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms
(neg.f32 x)
2.0ms
s
2.0ms
x
2.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
38.8%1(neg.f32 x)
38.8%1x
38.8%1s
38.8%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
38.8%1(exp.f32 (/.f32 (neg.f32 x) s))
38.8%1(/.f32 (neg.f32 x) s)
38.8%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch3.0ms (0%)

Memory
-40.4MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-48.94424819946289
-0.26812344789505005
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3952258825302124
30.590496063232422
0.0ms
5.543487897007908e-22
0.7648133635520935
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.543487897007908e-22
0.7648133635520935
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5666321516036987
1.0
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5666321516036987
1.0
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5666321516036987
1.0
Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify27.0ms (0.3%)

Memory
18.3MiB live, 56.8MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative-binary32-*.f32
24×+-commutative-binary32-+.f32
10×sub-neg-binary32-neg.f32-+.f32--.f32
neg-mul-1-binary32-*.f32-neg.f32
neg-sub0-binary32--.f32-neg.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092373
1121372
2130372
3135372
4138372
5139372
Stop Event
saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -3/4 binary32) (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -40 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 309485/309485009821345068724781056 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) (if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 309485/309485009821345068724781056 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4753255/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4753255/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4753255/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) (pow.f32 (*.f32 (exp.f32 #s(literal -3/4 binary32)) (exp.f32 #s(literal -3/4 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -3/4 binary32) (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (exp.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal -3/4 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -40 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) (/.f32 (neg.f32 x) s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -40 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x s) s)) x) #s(literal 2 binary32)) (/.f32 x s)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 309485/309485009821345068724781056 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) (if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 309485/309485009821345068724781056 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 309485/309485009821345068724781056 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4753255/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 4753255/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4753255/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 4753255/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4753255/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 4753255/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) #s(approx (- 1 (/ x s)) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

soundness2.0s (20.3%)

Memory
60.1MiB live, 1 210.2MiB allocated
Rules
40 054×lower-fma.f64
40 054×lower-fma.f32
13 846×lower-fma.f64
13 846×lower-fma.f32
10 900×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036205
060206
1264200
22033200
08517200
06608482
119677970
266727589
083047147
05075989
114625493
245265017
081994737
0827
01327
14827
225527
3210127
0846526
0140857
1378768
21150742
33902722
08435682
049341
084320
1347317
22561312
09208304
050420
089398
1401361
23179361
010210358
Stop Event
fuel
iter limit
node limit
iter limit
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
node limit
iter limit
Compiler

Compiled 645 to 361 computations (44% saved)

preprocess49.0ms (0.5%)

Memory
0.8MiB live, 118.0MiB allocated
Compiler

Compiled 492 to 174 computations (64.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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